HANDS ON TROPICAL GEOMETRY [polymake wiki]

This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.
====== HANDS ON TROPICAL GEOMETRY ======

=== Comprehensive guide on how to create 3D-printable models of tropical surfaces, tropical curves, and combinations thereof. ===

This tutorial requires on ''%%OpenSCAD%%'', an open source software for creating solid 3D computer-aided design objects. It is freely available for all platforms on https://openscad.org. The notebook only focuses on the creation of tropical 3D models in ''%%OpenSCAD%%'', as the 3D printing process itself depends significantly on the material and the printer used. Size, thickness, and color are easily adjustable in the ''%%OpenSCAD%%'' file generated by ''%%Polymake%%''.

The starting point for creating a 3D-model is one or more polyhedral complexes in $\mathbb{R}^3$. In ''%%polymake%%'', objects of type ''%%fan::PolyhedralComplex%%'' can always be constructed manually by specifying their ''%%POINTS%%'' and ''%%INPUT_POLYTOPES%%''. In special cases, which are covered in the upcoming sections, they can also be constructed via some shortcuts.

Given polyhedral complexes in ''%%polymake%%'', the 3D-model can then be created in four steps:

  - Construct a bounding box in ''%%polymake%%''. This can be done automatically using our script (which draws a box with a prescribed margin around all vertices) or manually by specifying any bounded polytope (which need not be a cuboid).
  - Export the model from ''%%polymake%%'' to ''%%OpenSCAD%%'' using our script.
  - Adjust the thicknesses in ''%%OpenSCAD%%''.
  - Export the model from ''%%OpenSCAD%%'' to any 3D-printable file format.

In the following sections, we will specifically discuss the cases of

  - a single tropical surface,
  - a single tropical curve,
  - a tropical surface containing a tropical curve.

The methods used can however be combined to cover arbitrary arrangements of surfaces and curves.

===== 0.Preparation =====

Before running any of the code below, please load the necessary helper functions and change to application tropical by running the code below

<code perl>
> script("files/hands_on_tropical_geometry/3d_printing_helper_functions.pl");
> application "tropical";
</code>
===== I. Modelling Tropical Surfaces =====

==== I.1 Constructing a tropical surface in polymake ====

An easy way to construct a tropical surface in $\mathbb{R}^3$ of type ''%%fan::PolyhedralComplex%%'' in ''%%polymake%%'' is by constructing and converting a ''%%tropical::Hypersurface%%''. This can be done by specifying a tropical polynomial as a string.

<code perl>
> $f = toTropicalPolynomial("min(1+2*w,1+2*x,1+2*y,1+2*z,w+x,w+y,w+z,x+y,x+z,y+z)");
> $tropicalSurfaceTmp = new tropical::Hypersurface<Min>(POLYNOMIAL=>$f);
</code>
> Important: Since ''%%polymake%%'' uses homogeneous coordinates, i.e., it identifies polyhedra in $\mathbb{R}^3$ with cones in $\mathbb{R}^4$, tropical polynomials need to be tetravariate and homogeneous instead of trivariate and inhomogeneous.

Alternatively, one can specifying an exponent matrix and a coefficient vector:

<code perl>
> $exponentVectors = [[2,0,0,0], [1,1,0,0], [1,0,1,0], [1,0,0,1], [0,1,1,0], [0,1,0,1], [0,0,1,1], [0,2,0,0], [0,0,2,0], [0,0,0,2]];
> $coefficients = [1,0,0,0,0,0,0,1,1,1];
> $tropicalSurfaceTmp = new Hypersurface<Min>(MONOMIALS=>$exponentVectors, COEFFICIENTS=>$coefficients);
</code>
To convert the ''%%tropical::Hypersurface%%'' to ''%%fan::PolyhedralComplex%%'':

<code perl>
> $tropicalSurface = new fan::PolyhedralComplex(
>                      VERTICES=>$tropicalSurfaceTmp->VERTICES->minor(All,~[1]),
>                      MAXIMAL_POLYTOPES=>$tropicalSurfaceTmp->MAXIMAL_POLYTOPES,
>                      INPUT_LINEALITY=>$tropicalSurfaceTmp->LINEALITY_SPACE->minor(All,~[1]));
> $tropicalSurface->VISUAL;
</code>
<HTML>
<!--
polymake for ren
Fri Feb 25 14:52:59 2022
pcom:tropicalSurface
-->


<html>
   <head>
      <meta charset=utf-8>
      <title>pcom:tropicalSurface</title>
      <style>
/*
// COMMON_CODE_BLOCK_BEGIN
*/
         html {overflow: scroll;}
         strong{font-size: 18px;}
         canvas { z-index: 8; }
         input[type='radio'] {margin-left:0;}
         input[type='checkbox'] {margin-right:7px; margin-left: 0px; padding-left:0px;}
         .group{padding-bottom: 15px;}
         .settings * {z-index: 11; }
         .settings{z-index: 10; font-family: Arial, Helvetica, sans-serif; margin-left: 30px; visibility: hidden; width: 14em; height: 96%; border: solid 1px silver; padding: 2px; overflow-y: scroll; box-sizing: border-box; background-color: white; position: absolute;}
         .indented{margin-left: 20px; margin-top: 10px; padding-bottom: 0px;} 
         .shownObjectsList{overflow: auto; max-width: 150px; max-height: 150px;}
         .showSettingsButton{visibility: visible; z-index: 12; position: absolute }
         .hideSettingsButton{visibility: hidden; z-index: 12; position: absolute; opacity: 0.5}
         button{margin-left: 0; margin-top: 10px}
         img{cursor: pointer;}
         .suboption{padding-top: 15px;}
         #model72760374294 { width: 100%; height: 100%; }
         .threejs_container { width: 100%; height: 75vh;}
         .settings{max-height: 74vh} 
         input[type=range] {
           -webkit-appearance: none;
           padding:0; 
           width:90%; 
           margin-left: auto;
           margin-right: auto;
           margin-top: 15px;
           margin-bottom: 15px;
           display: block;	
         }
         input[type=range]:focus {
           outline: none;
         }
         input[type=range]::-webkit-slider-runnable-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-webkit-slider-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
           -webkit-appearance: none;
           margin-top: -5px;
         }
         input[type=range]:focus::-webkit-slider-runnable-track {
           background: #E3E3E3;
         }
         input[type=range]::-moz-range-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-moz-range-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]::-ms-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           background: transparent;
           border-color: transparent;
           color: transparent;
         }
         input[type=range]::-ms-fill-lower {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-fill-upper {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]:focus::-ms-fill-lower {
           background: #E3E3E3;
         }
         input[type=range]:focus::-ms-fill-upper {
           background: #E3E3E3;
         }
/*
// COMMON_CODE_BLOCK_END
*/
		</style>
   </head>
<body>
   <div class='threejs_container'>
		<div id='settings_0' class='settings'>
			<div class=group id='explode_0'>
				<strong>Explode</strong>
				<input id='explodeRange_0' type='range' min='0.00001' max=6 step=0.01 value=0.00001>
				<div class=indented><input id='explodeCheckbox_0' type='checkbox'>Automatic explosion</div>
				<div class=suboption>Exploding speed</div>
				<input id='explodingSpeedRange_0' type='range' min=0 max=0.5 step=0.001 value=0.05>
			</div>
	
			<div class=group id='transparency_0' class='transparency'>
				<strong>Transparency</strong>
				<input id='transparencyRange_0' type='range' min=0 max=1 step=0.01 value=0>
			</div>
			
			<div class=group id='rotation_0'>
				<strong>Rotation</strong>
				<div class=indented>
					<div><input type='checkbox' id='changeRotationX_0'> x-axis</div>
					<div><input type='checkbox' id='changeRotationY_0'> y-axis</div>
					<div><input type='checkbox' id='changeRotationZ_0'> z-axis</div>
					<button id='resetButton_0'>Reset</button>
				</div>

				<div class=suboption>Rotation speed</div>
				<input id='rotationSpeedRange_0' type='range' min=0 max=5 step=0.01 value=2>
			</div>


			<div class=group id='display_0'>
				<strong>Display</strong>
				<div class=indented>
					<div id='shownObjectTypesList_0' class='shownObjectsList'></div>
				</div>
				<div class=suboption>Objects</div>
				<div class=indented>
				   <div id='shownObjectsList_0' class='shownObjectsList'></div>
				</div>
			</div>
         
         <div class=group id='camera_0'>
            <strong>Camera</strong>
            <div class=indented>
               <form>
                  <select id="cameraType_0">
                     <option value='perspective' selected> Perspective<br></option>
                     <option value='orthographic' > Orthographic<br></option>
                  </select>
               </form>
            </div>
         </div>

			<div class=group id='svg_0'>
				<strong>SVG</strong>
				<div class=indented>
					<form>
						<input type="radio" name='screenshotMode' value='download' id='download_0' checked> Download<br>
						<input type="radio" name='screenshotMode' value='tab' id='tab_0' > New tab<br>
					</form>
					<button id='takeScreenshot_0'>Screenshot</button>
				</div>
			</div>

		</div>	<!-- end of settings -->
		<img id='hideSettingsButton_0' class='hideSettingsButton' src='/kernelspecs/r118/polymake/close.svg' width=20px">
		<img id='showSettingsButton_0' class='showSettingsButton' src='/kernelspecs/r118/polymake/menu.svg' width=20px">
<div id="model72760374294"></div>
</div>
   <script>
    requirejs.config({
      paths: {
        three: '/kernelspecs/r118/polymake/three',
        TrackballControls: '/kernelspecs/r118/polymake/TrackballControls',
        OrbitControls: '/kernelspecs/r118/polymake/OrbitControls',
        Projector: '/kernelspecs/r118/polymake/Projector',
        SVGRenderer: '/kernelspecs/r118/polymake/SVGRenderer',
        WEBGL: '/kernelspecs/r118/polymake/WebGL',
      },
      shim: {
        'three': { exports: 'THREE'},
        'SVGRenderer': { deps: [ 'three' ], exports: 'THREE.SVGRenderer' },
        'WEBGL': { deps: [ 'three' ], exports: 'THREE.WEBGL' },
        'Projector': { deps: [ 'three' ], exports: 'THREE.Projector' },
        'TrackballControls': { deps: [ 'three' ], exports: 'THREE.TrackballControls' },
        'OrbitControls': { deps: [ 'three' ], exports: 'THREE.OrbitControls' },
      }
    });
    
    require(['three'],function(THREE){
        window.THREE = THREE;
      require(['TrackballControls', 'OrbitControls', 'Projector', 'SVGRenderer', 'WEBGL'],
               function(TrackballControls, OrbitControls, Projector, SVGRenderer, WEBGL) {
    THREE.TrackballControls = TrackballControls;
    THREE.OrbitControls = OrbitControls;
    THREE.Projector = Projector;
    THREE.SVGRenderer = SVGRenderer;
    THREE.WEBGL = WEBGL;

// COMMON_CODE_BLOCK_BEGIN

const intervalLength = 25; // for automatic animations
const explodableModel = true; 
const modelContains = { points: false, pointlabels: false, lines: false, edgelabels: false, faces: false, arrowheads: false };
const foldables = [];

var three = document.getElementById("model72760374294");
var scene = new THREE.Scene();
var renderer = new THREE.WebGLRenderer( { antialias: true } );
var svgRenderer = new THREE.SVGRenderer( { antialias: true } );
renderer.setPixelRatio( window.devicePixelRatio );
renderer.setClearColor(0xFFFFFF, 1);
svgRenderer.setClearColor(0xFFFFFF, 1);
three.appendChild(renderer.domElement);

var frustumSize = 4;
var cameras = [new THREE.PerspectiveCamera(75, 1, 0.1, 1000), new THREE.OrthographicCamera()];
cameras.forEach(function(cam) {
    cam.position.set(0, 0, 5);
    cam.lookAt(0, 0, 0);  
    cam.up.set(0, 1, 0);         
});
var controls = [new THREE.TrackballControls(cameras[0], three), new THREE.OrbitControls(cameras[1], three)];
var camera, control;

controls[0].zoomSpeed = 0.2;
controls[0].rotateSpeed = 4;


// class to allow move points together with labels and spheres
var PMPoint = function (x,y,z) {
   this.vector = new THREE.Vector3(x,y,z);
   this.sprite = null;
   this.sphere = null;
}
PMPoint.prototype.addLabel = function(labelsprite) {
   this.sprite = labelsprite;
   this.sprite.position.copy(this.vector);
}
PMPoint.prototype.addSphere = function(spheremesh) {
   this.sphere = spheremesh;
   this.sphere.position.copy(this.vector);
}
PMPoint.prototype.set = function(x,y,z) {
   this.vector.set(x,y,z);
   if (this.sprite) {
      this.sprite.position.copy(this.vector);
   }
   if (this.sphere) {
      this.sphere.position.copy(this.vector);
   }
}
PMPoint.prototype.radius = function() {
   if (this.sphere) {
      return this.sphere.geometry.parameters.radius;
   } else {
      return 0;
   }
};
// select the target node
var target = document.querySelector('#model72760374294');

// create an observer instance
var observer = new MutationObserver(function(mutations) {
   mutations.forEach(function(mutation) {
      if (mutation.removedNodes && mutation.removedNodes.length > 0) {
         cancelAnimationFrame(renderId);
         observer.disconnect();
         console.log("cancelled frame "+renderId);
      }
   });
});

// configuration of the observer:
var config = { childList: true, characterData: true }

// pass in the target node, as well as the observer options
while (target) {
   if (target.className=="output") {
      observer.observe(target, config);
      break;
   }
   target = target.parentNode;
}

// COMMON_CODE_BLOCK_END

var obj0 = new THREE.Object3D();
obj0.name = "_bounded";
obj0.userData.explodable = 1;
obj0.userData.points = [];
obj0.userData.points.push(new PMPoint(1, 3.4, 1));
obj0.userData.points.push(new PMPoint(1, 1, 1));
obj0.userData.points.push(new PMPoint(1, 1, 3.4));
obj0.userData.points.push(new PMPoint(1, 3.4, 3.4));

obj0.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj0.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj0.userData.pointlabels = [" ", "5", " ", " "];
obj0.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj0.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj0.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj0.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj0);
scene.add(obj0);

var obj1 = new THREE.Object3D();
obj1.name = "_bounded";
obj1.userData.explodable = 1;
obj1.userData.points = [];
obj1.userData.points.push(new PMPoint(1, 1, 1));
obj1.userData.points.push(new PMPoint(3.4, 1, 1));
obj1.userData.points.push(new PMPoint(1, 1, 3.4));
obj1.userData.points.push(new PMPoint(3.4, 1, 3.4));

obj1.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj1.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj1.userData.pointlabels = ["5", " ", " ", " "];
obj1.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj1.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj1.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj1.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj1);
scene.add(obj1);

var obj2 = new THREE.Object3D();
obj2.name = "_bounded";
obj2.userData.explodable = 1;
obj2.userData.points = [];
obj2.userData.points.push(new PMPoint(1, 1, 1));
obj2.userData.points.push(new PMPoint(0, 0, 0));
obj2.userData.points.push(new PMPoint(0, 0, 3.4));
obj2.userData.points.push(new PMPoint(1, 1, 3.4));

obj2.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj2.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj2.userData.pointlabels = ["5", "3", " ", " "];
obj2.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj2.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj2.userData.facets = [[0, 1, 2, 3]];
   <!-- Facet style -->
obj2.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj2);
scene.add(obj2);

var obj3 = new THREE.Object3D();
obj3.name = "_bounded";
obj3.userData.explodable = 1;
obj3.userData.points = [];
obj3.userData.points.push(new PMPoint(3.4, 1, 1));
obj3.userData.points.push(new PMPoint(1, 1, 1));
obj3.userData.points.push(new PMPoint(1, 3.4, 1));
obj3.userData.points.push(new PMPoint(3.4, 3.4, 1));

obj3.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj3.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj3.userData.pointlabels = [" ", "5", " ", " "];
obj3.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj3.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj3.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj3.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj3);
scene.add(obj3);

var obj4 = new THREE.Object3D();
obj4.name = "_bounded";
obj4.userData.explodable = 1;
obj4.userData.points = [];
obj4.userData.points.push(new PMPoint(0, 0, 0));
obj4.userData.points.push(new PMPoint(1, 1, 1));
obj4.userData.points.push(new PMPoint(0, 3.4, 0));
obj4.userData.points.push(new PMPoint(1, 3.4, 1));

obj4.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj4.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj4.userData.pointlabels = ["3", "5", " ", " "];
obj4.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj4.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj4.userData.facets = [[1, 0, 2, 3]];
   <!-- Facet style -->
obj4.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj4);
scene.add(obj4);

var obj5 = new THREE.Object3D();
obj5.name = "_bounded";
obj5.userData.explodable = 1;
obj5.userData.points = [];
obj5.userData.points.push(new PMPoint(1, 1, 1));
obj5.userData.points.push(new PMPoint(0, 0, 0));
obj5.userData.points.push(new PMPoint(3.4, 0, 0));
obj5.userData.points.push(new PMPoint(3.4, 1, 1));

obj5.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj5.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj5.userData.pointlabels = ["5", "3", " ", " "];
obj5.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj5.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj5.userData.facets = [[0, 1, 2, 3]];
   <!-- Facet style -->
obj5.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj5);
scene.add(obj5);

var obj6 = new THREE.Object3D();
obj6.name = "_bounded";
obj6.userData.explodable = 1;
obj6.userData.points = [];
obj6.userData.points.push(new PMPoint(-1, 0, 0));
obj6.userData.points.push(new PMPoint(0, 0, 0));
obj6.userData.points.push(new PMPoint(0, 0, 3.4));
obj6.userData.points.push(new PMPoint(-1, 0, 3.4));

obj6.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj6.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj6.userData.pointlabels = ["1", "3", " ", " "];
obj6.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj6.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj6.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj6.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj6);
scene.add(obj6);

var obj7 = new THREE.Object3D();
obj7.name = "_bounded";
obj7.userData.explodable = 1;
obj7.userData.points = [];
obj7.userData.points.push(new PMPoint(0, -1, 0));
obj7.userData.points.push(new PMPoint(0, 0, 0));
obj7.userData.points.push(new PMPoint(0, 0, 3.4));
obj7.userData.points.push(new PMPoint(0, -1, 3.4));

obj7.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj7.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj7.userData.pointlabels = ["4", "3", " ", " "];
obj7.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj7.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj7.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj7.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj7);
scene.add(obj7);

var obj8 = new THREE.Object3D();
obj8.name = "_bounded";
obj8.userData.explodable = 1;
obj8.userData.points = [];
obj8.userData.points.push(new PMPoint(0, 0, 0));
obj8.userData.points.push(new PMPoint(-1, 0, 0));
obj8.userData.points.push(new PMPoint(0, 3.4, 0));
obj8.userData.points.push(new PMPoint(-1, 3.4, 0));

obj8.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj8.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj8.userData.pointlabels = ["3", "1", " ", " "];
obj8.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj8.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj8.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj8.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj8);
scene.add(obj8);

var obj9 = new THREE.Object3D();
obj9.name = "_bounded";
obj9.userData.explodable = 1;
obj9.userData.points = [];
obj9.userData.points.push(new PMPoint(0, 0, 0));
obj9.userData.points.push(new PMPoint(0, 0, -1));
obj9.userData.points.push(new PMPoint(0, 3.4, 0));
obj9.userData.points.push(new PMPoint(0, 3.4, -1));

obj9.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj9.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj9.userData.pointlabels = ["3", "2", " ", " "];
obj9.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj9.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj9.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj9.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj9);
scene.add(obj9);

var obj10 = new THREE.Object3D();
obj10.name = "_bounded";
obj10.userData.explodable = 1;
obj10.userData.points = [];
obj10.userData.points.push(new PMPoint(0, 0, 0));
obj10.userData.points.push(new PMPoint(-1, 0, 0));
obj10.userData.points.push(new PMPoint(-3.4, -2.4, -2.4));
obj10.userData.points.push(new PMPoint(-3.4, -3.4, -3.4));

obj10.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj10.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj10.userData.pointlabels = ["3", "1", " ", " "];
obj10.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj10.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj10.userData.facets = [[0, 1, 2, 3]];
   <!-- Facet style -->
obj10.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj10);
scene.add(obj10);

var obj11 = new THREE.Object3D();
obj11.name = "_bounded";
obj11.userData.explodable = 1;
obj11.userData.points = [];
obj11.userData.points.push(new PMPoint(0, -1, 0));
obj11.userData.points.push(new PMPoint(0, 0, 0));
obj11.userData.points.push(new PMPoint(3.4, 0, 0));
obj11.userData.points.push(new PMPoint(3.4, -1, 0));

obj11.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj11.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj11.userData.pointlabels = ["4", "3", " ", " "];
obj11.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj11.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj11.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj11.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj11);
scene.add(obj11);

var obj12 = new THREE.Object3D();
obj12.name = "_bounded";
obj12.userData.explodable = 1;
obj12.userData.points = [];
obj12.userData.points.push(new PMPoint(0, 0, -1));
obj12.userData.points.push(new PMPoint(0, 0, 0));
obj12.userData.points.push(new PMPoint(3.4, 0, 0));
obj12.userData.points.push(new PMPoint(3.4, 0, -1));

obj12.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj12.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj12.userData.pointlabels = ["2", "3", " ", " "];
obj12.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj12.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj12.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj12.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj12);
scene.add(obj12);

var obj13 = new THREE.Object3D();
obj13.name = "_bounded";
obj13.userData.explodable = 1;
obj13.userData.points = [];
obj13.userData.points.push(new PMPoint(0, -1, 0));
obj13.userData.points.push(new PMPoint(0, 0, 0));
obj13.userData.points.push(new PMPoint(-2.4, -3.4, -2.4));
obj13.userData.points.push(new PMPoint(-3.4, -3.4, -3.4));

obj13.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj13.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj13.userData.pointlabels = ["4", "3", " ", " "];
obj13.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj13.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj13.userData.facets = [[1, 0, 2, 3]];
   <!-- Facet style -->
obj13.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj13);
scene.add(obj13);

var obj14 = new THREE.Object3D();
obj14.name = "_bounded";
obj14.userData.explodable = 1;
obj14.userData.points = [];
obj14.userData.points.push(new PMPoint(0, 0, 0));
obj14.userData.points.push(new PMPoint(0, 0, -1));
obj14.userData.points.push(new PMPoint(-3.4, -3.4, -3.4));
obj14.userData.points.push(new PMPoint(-2.4, -2.4, -3.4));

obj14.userData.pointradii = [0.02, 0.02, 0, 0];
   <!-- Vertex style -->
obj14.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj14.userData.pointlabels = ["3", "2", " ", " "];
obj14.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj14.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj14.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj14.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj14);
scene.add(obj14);

var obj15 = new THREE.Object3D();
obj15.name = "_bounded";
obj15.userData.explodable = 1;
obj15.userData.points = [];
obj15.userData.points.push(new PMPoint(-1, 3.4, 0));
obj15.userData.points.push(new PMPoint(-1, 0, 0));
obj15.userData.points.push(new PMPoint(-1, 0, 3.4));
obj15.userData.points.push(new PMPoint(-1, 3.4, 3.4));

obj15.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj15.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj15.userData.pointlabels = [" ", "1", " ", " "];
obj15.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj15.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj15.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj15.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj15);
scene.add(obj15);

var obj16 = new THREE.Object3D();
obj16.name = "_bounded";
obj16.userData.explodable = 1;
obj16.userData.points = [];
obj16.userData.points.push(new PMPoint(-1, 0, 3.4));
obj16.userData.points.push(new PMPoint(-1, 0, 0));
obj16.userData.points.push(new PMPoint(-3.4, -2.4, -2.4));
obj16.userData.points.push(new PMPoint(-3.4, -2.4, 3.4));

obj16.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj16.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj16.userData.pointlabels = [" ", "1", " ", " "];
obj16.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj16.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj16.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj16.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj16);
scene.add(obj16);

var obj17 = new THREE.Object3D();
obj17.name = "_bounded";
obj17.userData.explodable = 1;
obj17.userData.points = [];
obj17.userData.points.push(new PMPoint(-1, 0, 0));
obj17.userData.points.push(new PMPoint(-1, 3.4, 0));
obj17.userData.points.push(new PMPoint(-3.4, 3.4, -2.4));
obj17.userData.points.push(new PMPoint(-3.4, -2.4, -2.4));

obj17.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj17.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj17.userData.pointlabels = ["1", " ", " ", " "];
obj17.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj17.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj17.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj17.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj17);
scene.add(obj17);

var obj18 = new THREE.Object3D();
obj18.name = "_bounded";
obj18.userData.explodable = 1;
obj18.userData.points = [];
obj18.userData.points.push(new PMPoint(0, -1, 0));
obj18.userData.points.push(new PMPoint(3.4, -1, 0));
obj18.userData.points.push(new PMPoint(0, -1, 3.4));
obj18.userData.points.push(new PMPoint(3.4, -1, 3.4));

obj18.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj18.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj18.userData.pointlabels = ["4", " ", " ", " "];
obj18.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj18.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj18.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj18.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj18);
scene.add(obj18);

var obj19 = new THREE.Object3D();
obj19.name = "_bounded";
obj19.userData.explodable = 1;
obj19.userData.points = [];
obj19.userData.points.push(new PMPoint(0, -1, 0));
obj19.userData.points.push(new PMPoint(0, -1, 3.4));
obj19.userData.points.push(new PMPoint(-2.4, -3.4, 3.4));
obj19.userData.points.push(new PMPoint(-2.4, -3.4, -2.4));

obj19.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj19.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj19.userData.pointlabels = ["4", " ", " ", " "];
obj19.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj19.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj19.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj19.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj19);
scene.add(obj19);

var obj20 = new THREE.Object3D();
obj20.name = "_bounded";
obj20.userData.explodable = 1;
obj20.userData.points = [];
obj20.userData.points.push(new PMPoint(0, -1, 0));
obj20.userData.points.push(new PMPoint(3.4, -1, 0));
obj20.userData.points.push(new PMPoint(3.4, -3.4, -2.4));
obj20.userData.points.push(new PMPoint(-2.4, -3.4, -2.4));

obj20.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj20.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj20.userData.pointlabels = ["4", " ", " ", " "];
obj20.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj20.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj20.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj20.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj20);
scene.add(obj20);

var obj21 = new THREE.Object3D();
obj21.name = "_bounded";
obj21.userData.explodable = 1;
obj21.userData.points = [];
obj21.userData.points.push(new PMPoint(3.4, 0, -1));
obj21.userData.points.push(new PMPoint(0, 0, -1));
obj21.userData.points.push(new PMPoint(0, 3.4, -1));
obj21.userData.points.push(new PMPoint(3.4, 3.4, -1));

obj21.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj21.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj21.userData.pointlabels = [" ", "2", " ", " "];
obj21.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj21.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj21.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj21.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj21);
scene.add(obj21);

var obj22 = new THREE.Object3D();
obj22.name = "_bounded";
obj22.userData.explodable = 1;
obj22.userData.points = [];
obj22.userData.points.push(new PMPoint(0, 0, -1));
obj22.userData.points.push(new PMPoint(0, 3.4, -1));
obj22.userData.points.push(new PMPoint(-2.4, -2.4, -3.4));
obj22.userData.points.push(new PMPoint(-2.4, 3.4, -3.4));

obj22.userData.pointradii = [0.02, 0, 0, 0];
   <!-- Vertex style -->
obj22.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj22.userData.pointlabels = ["2", " ", " ", " "];
obj22.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj22.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj22.userData.facets = [[0, 2, 3, 1]];
   <!-- Facet style -->
obj22.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj22);
scene.add(obj22);

var obj23 = new THREE.Object3D();
obj23.name = "_bounded";
obj23.userData.explodable = 1;
obj23.userData.points = [];
obj23.userData.points.push(new PMPoint(3.4, 0, -1));
obj23.userData.points.push(new PMPoint(0, 0, -1));
obj23.userData.points.push(new PMPoint(-2.4, -2.4, -3.4));
obj23.userData.points.push(new PMPoint(3.4, -2.4, -3.4));

obj23.userData.pointradii = [0, 0.02, 0, 0];
   <!-- Vertex style -->
obj23.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj23.userData.pointlabels = [" ", "2", " ", " "];
obj23.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj23.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj23.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj23.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj23);
scene.add(obj23);

// COMMON_CODE_BLOCK_BEGIN
function textSpriteMaterial(message, parameters) {
    if ( parameters === undefined ) parameters = {};
    var fontface = "Helvetica";
    var fontsize = parameters.hasOwnProperty("fontsize") ? parameters["fontsize"] : 15;
    fontsize = fontsize*10;
    var lines = message.split('\\n');
    var size = 512;
    for(var i = 0; i<lines.length; i++){
        var tmp = lines[i].length;
        while(tmp*fontsize > size){
           fontsize--;
        }
    }
    
    var canvas = document.createElement('canvas');
    canvas.width = size;
    canvas.height = size;
    var context = canvas.getContext('2d');
    context.fillStyle = "rgba(255, 255, 255, 0)";
    context.fill();
    context.font = fontsize + "px " + fontface;
    
    // text color
    context.fillStyle = "rgba(0, 0, 0, 1.0)";
     for(var i = 0; i<lines.length; i++){
        context.fillText(lines[i], size/2, size/2+i*fontsize);
     }
    
    // canvas contents will be used for a texture
    var texture = new THREE.Texture(canvas);
    texture.needsUpdate = true;
    
    var spriteMaterial = new THREE.SpriteMaterial({map: texture, depthTest: true, depthWrite: false, polygonOffset: true, polygonOffsetFactor: -1, polygonOffsetUnits: 1 });
    return spriteMaterial;
}


// ---------------------- INITIALIZING OBJECTS--------------------------------------
// ---------------------------------------------------------------------------------

function init_object(obj) {
    if (obj.userData.hasOwnProperty("pointmaterial")) {
        init_points(obj);
        modelContains.points = true;
    }
    if (obj.userData.hasOwnProperty("pointlabels")) {
        init_pointlabels(obj);
        modelContains.pointlabels = true;
    }
    if (obj.userData.hasOwnProperty("edgematerial")) {
        init_lines(obj);
        modelContains.lines = true;
    }
    if (obj.userData.hasOwnProperty("edgelabels")) {
        init_edgelabels(obj);
        modelContains.edgelabels = true;
    }
    if (obj.userData.hasOwnProperty("arrowstyle")) {
        init_arrowheads(obj);
        modelContains.arrowheads = true;
    }
    if (obj.userData.hasOwnProperty("facetmaterial")) {
        init_faces(obj);
        modelContains.faces = true;
    }
}

function init_points(obj) {
    var pointgroup = new THREE.Group();
    pointgroup.name = "points";
    var points = obj.userData.points;
    var radii = obj.userData.pointradii;
    var materials = obj.userData.pointmaterial;
    var geometry,material;
    if (!Array.isArray(radii)) {
        geometry = new THREE.SphereBufferGeometry(radii);  
    }
    if (!Array.isArray(materials)) {
        material = materials;
    }
    for (var i=0; i<points.length; i++) {
        var point = points[i];
        if (Array.isArray(radii)) {
            if (radii[i] == 0) {
                continue;
            }
            geometry = new THREE.SphereBufferGeometry(radii[i]);  
        } 
        if (Array.isArray(materials)) {
            material = materials[i];     
        } 
        var sphere = new THREE.Mesh(geometry, material);
        point.addSphere(sphere);
        pointgroup.add(sphere);
    }
    obj.add(pointgroup);
}

function init_pointlabels(obj) {
    var points = obj.userData.points;
    var labels = obj.userData.pointlabels;
    var pointlabels = new THREE.Group();
    pointlabels.name = "pointlabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<points.length; i++) {
            var point = points[i];
            var spriteMaterial = textSpriteMaterial( labels[i] );
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<points.length; i++) {
            var point = points[i];
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    }
    obj.add(pointlabels);
}

function init_lines(obj) {
    var edgeindices = obj.userData.edgeindices;
    var points = obj.userData.points;
    var materials = obj.userData.edgematerial;
    var geometry = new THREE.BufferGeometry();
    var bufarr = new Float32Array( obj.userData.edgeindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute( bufarr, 3 );
    var geometry = new THREE.BufferGeometry();
    geometry.setAttribute('position', bufattr);
    if (Array.isArray(materials)) {     
        for (var i=0; i<materials.length; i++) {
            geometry.addGroup(2*i,2,i);
        }
    }
    var lines = new THREE.LineSegments(geometry, materials);
    lines.name = "lines";
    obj.add(lines);
    updateEdgesPosition(obj);
}

function init_edgelabels(obj) {
    var points = obj.userData.points;
    var edgeindices = obj.userData.edgeindices;
    var labels = obj.userData.edgelabels;
    var edgelabels = new THREE.Group();
    edgelabels.name = "edgelabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<edgeindices.length/2; i++) {
            var spriteMaterial = textSpriteMaterial( labels[i] );
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<edgeindices.length/2; i++) {
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    }
    obj.add(edgelabels);
}

function init_arrowheads(obj) {
    var arrowheads = new THREE.Group();
    arrowheads.name = "arrowheads";
    var arrowstyle = obj.userData.arrowstyle;
    var edgeindices = obj.userData.edgeindices;
    var edgematerials = obj.userData.edgematerial;
    var points = obj.userData.points;
    var material;
    if (!Array.isArray(edgematerials)) {
        material = new THREE.MeshBasicMaterial( {color: edgematerials.color} );
    }

    for (var i=0; i<edgeindices.length; i=i+2) {
        var start = points[edgeindices[i]];
        var end = points[edgeindices[i+1]];
        var dist = start.vector.distanceTo( end.vector ) - start.radius() - end.radius();
        if (dist <= 0) {
            continue;
        }
        var dir = new THREE.Vector3().subVectors(end.vector,start.vector);
        dir.normalize();
        var axis = new THREE.Vector3().set(dir.z,0,-dir.x);
        axis.normalize();
        var radians = Math.acos( dir.y );
        var radius = dist/25;
        var height = dist/5;
        var geometry = new THREE.ConeBufferGeometry(radius,height);
        var position = new THREE.Vector3().addVectors(start.vector,dir.clone().multiplyScalar(start.radius()+dist-height/2));
        if (Array.isArray(edgematerials)) {
            material = new THREE.MeshBasicMaterial( {color: edgematerials[i].color} );
        }
        var cone = new THREE.Mesh( geometry, material );
        cone.quaternion.setFromAxisAngle(axis,radians);;
        cone.position.copy(position);;
        arrowheads.add(cone);
    }
    obj.add(arrowheads);
}

function init_faces(obj) {
    var points = obj.userData.points;
    var facets = obj.userData.facets;
    obj.userData.triangleindices = [];
    for (var i=0; i<facets.length; i++) {
        facet = facets[i];
        for (var t=0; t<facet.length-2; t++) {
            obj.userData.triangleindices.push(facet[0],facet[t+1],facet[t+2]);  
        }
    }
    var bufarr = new Float32Array( obj.userData.triangleindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute(bufarr,3);
    
    var materials = obj.userData.facetmaterial;
    var geometry = new THREE.BufferGeometry();
    var frontmaterials = [];
    var backmaterials = [];
    geometry.setAttribute('position',bufattr);
    if (Array.isArray(materials)) {
        var tricount = 0;
        var facet;
        for (var i=0; i<facets.length; i++) {
            facet = facets[i];
            geometry.addGroup(tricount,(facet.length-2)*3,i);
            tricount += (facet.length-2)*3;
        }
        for (var j=0; j<materials.length; j++) {
            var fmat = materials[j].clone()
            fmat.side = THREE.FrontSide;
            frontmaterials.push(fmat);
            var bmat = materials[j].clone()
            bmat.side = THREE.BackSide;
            backmaterials.push(bmat);
            obj.userData.facetmaterial = frontmaterials.concat(backmaterials);
        }
    } else if (materials instanceof THREE.Material) {
        frontmaterials = materials.clone()
        frontmaterials.side = THREE.FrontSide;
        backmaterials = materials.clone()
        backmaterials.side = THREE.BackSide;
        obj.userData.facetmaterial = [frontmaterials, backmaterials];
    }
    // duplicating the object with front and back should avoid transparency issues
    var backmesh = new THREE.Mesh(geometry, backmaterials);
    // meshname is used to show/hide objects
    backmesh.name = "backfaces";
    obj.add(backmesh);
    var frontmesh = new THREE.Mesh(geometry, frontmaterials);
    frontmesh.name = "frontfaces";
    obj.add(frontmesh);
    updateFacesPosition(obj);
}
// //INITIALIZING


function updateFacesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.triangleindices;
    var faces = obj.getObjectByName("frontfaces");
    var ba = faces.geometry.getAttribute("position");
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    faces.geometry.attributes.position.needsUpdate = true;
    
}

function updateEdgesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.edgeindices;
    var lines = obj.getObjectByName("lines");
    var ba = lines.geometry.getAttribute("position"); 
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    lines.geometry.attributes.position.needsUpdate = true;
}

function onWindowResize() {
    renderer.setSize( three.clientWidth, three.clientHeight );
    svgRenderer.setSize( three.clientWidth, three.clientHeight );
    updateCamera();
}

function updateCamera() {
    var width = three.clientWidth;
    var height = three.clientHeight;
    var aspect = width / height;
    if (camera.type == "OrthographicCamera") {
        camera.left = frustumSize * aspect / - 2;
        camera.right = frustumSize * aspect / 2;
        camera.top = frustumSize / 2;
        camera.bottom = - frustumSize / 2;
    } else if (camera.type == "PerspectiveCamera") {
        camera.aspect = aspect;
    }
    camera.updateProjectionMatrix();
}

function changeCamera(event) {
    var selindex = event.currentTarget.selectedIndex;
    camera = cameras[selindex];
    control = controls[selindex];
    control.enabled = true; 
    for (var i=0; i<controls.length; i++) {
        if (i!=selindex) {
            controls[i].enabled = false;
        }
    }
    updateCamera();
}

var camtypenode = document.getElementById('cameraType_0');
camtypenode.onchange = changeCamera;
camtypenode.dispatchEvent(new Event('change'));

onWindowResize();
window.addEventListener('resize', onWindowResize);	


var xRotationEnabled = false;
var yRotationEnabled = false;
var zRotationEnabled = false;
var rotationSpeedFactor = 1;
var settingsShown = false;
var labelsShown = true;
var intervals = [];
var timeouts = [];
var explodingSpeed = 0.05;
var explodeScale = 0.000001;
var XMLS = new XMLSerializer();
var svgElement;
var renderId;

var render = function () {

	renderId = requestAnimationFrame(render);

//	comment in for automatic explosion
//	explode(updateFactor());

    var phi = 0.02 * rotationSpeedFactor;

    if (xRotationEnabled) {
        scene.rotation.x += phi;
    }
    if (yRotationEnabled) {
        scene.rotation.y += phi;
    }
    if (zRotationEnabled) {
        scene.rotation.z += phi;
    }

    control.update();
    renderer.render(scene, camera);
};

if ( THREE.WEBGL.isWebGLAvailable() ) {
	render();
} else {
	var warning = WEBGL.getWebGLErrorMessage();
	three.appendChild( warning );
}
    
function changeTransparency() {
    var opacity = 1-Number(event.currentTarget.value);
    for (var i=0; i<scene.children.length; i++) {
        child = scene.children[i];
        if ( child.userData.hasOwnProperty("facetmaterial") ) {
            if (Array.isArray(child.userData.facetmaterial)) {
                for (var j=0; j<child.userData.facetmaterial.length; j++) {
                    child.userData.facetmaterial[j].opacity = opacity;
                }
            } else {
                child.userData.facetmaterial.opacity = opacity;
            }    
        }
    }
}

function changeRotationX(event){
    xRotationEnabled = event.currentTarget.checked;
}	

function changeRotationY(event){
    yRotationEnabled = event.currentTarget.checked;
}	

function changeRotationZ(event){
    zRotationEnabled = event.currentTarget.checked;
}	


function changeRotationSpeedFactor(event){
    rotationSpeedFactor = Number(event.currentTarget.value);
}

function resetScene(){
    scene.rotation.set(0,0,0);
    camera.position.set(0,0,5);
    camera.up.set(0,1,0);
}

function showSettings(event){
    document.getElementById('settings_0').style.visibility = 'visible';
    document.getElementById('showSettingsButton_0').style.visibility = 'hidden';
    document.getElementById('hideSettingsButton_0').style.visibility = 'visible';
    settingsShown = true;
}

function hideSettings(event){
    document.getElementById('settings_0').style.visibility = 'hidden';
    document.getElementById('showSettingsButton_0').style.visibility = 'visible';
    document.getElementById('hideSettingsButton_0').style.visibility = 'hidden';
    settingsShown = false;
}



var pos = 150* Math.PI;

function updateFactor() {
    pos++;
    return Math.sin(.01*pos)+1;
}

// ------------------------ FOLDING ------------------------------------------------
// ---------------------------------------------------------------------------------
// rotate point p around axis defined by points p1 and p2 by given angle
function rotate(p, p1, p2, angle ){   
    angle = -angle;
    var x = p.x, y = p.y, z = p.z, 
    a = p1.x, b = p1.y, c = p1.z, 
    u = p2.x-p1.x, v = p2.y-p1.y, w = p2.z-p1.z;
    var result = [];
    var L = u*u + v*v + w*w;
    var sqrt = Math.sqrt;
    var cos = Math.cos;
    var sin = Math.sin;

    result[0] = ((a*(v*v+w*w)-u*(b*v+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*x*cos(angle)+sqrt(L)*(-c*v+b*w-w*y+v*z)*sin(angle))/L;
    result[1] = ((b*(u*u+w*w)-v*(a*u+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*y*cos(angle)+sqrt(L)*(c*u-a*w+w*x-u*z)*sin(angle))/L;
    result[2] = ((c*(u*u+v*v)-w*(a*u+b*v-u*x-v*y-w*z))*(1-cos(angle))+L*z*cos(angle)+sqrt(L)*(-b*u+a*v-v*x+u*y)*sin(angle))/L;

    return result;
}

var fold = function(event){
    var obj = foldables[Number(event.currentTarget.name)];
    var foldvalue = Number(event.currentTarget.value);
    var scale = foldvalue - obj.userData.oldscale;

    for (var j=0; j<obj.userData.axes.length; j++) {
        rotateVertices(obj, j, scale);
    }
    update(obj);
    obj.userData.oldscale += scale;
    lookAtBarycenter(obj);
}

function lookAtBarycenter(obj){
    control.target = barycenter(obj);
}

function barycenter(obj) {
    var center = new THREE.Vector3(0,0,0);
    var points = obj.userData.points;
    for (var i=0; i<points.length; i++){
        center.add(points[i].vector);
    }
    center.divideScalar(points.length);
    return center;
}

function rotateVertices(obj, edge, scale) {
    var axes = obj.userData.axes;
    var subtrees = obj.userData.subtrees;
    var points = obj.userData.points;
    var angles = obj.userData.angles;
    if (edge < axes.length){
        for (var j=0; j<subtrees[edge].length; j++){
            var rotP = rotate(points[subtrees[edge][j]].vector, points[axes[edge][0]].vector,points[axes[edge][1]].vector, scale * (Math.PI - angles[edge]));
            points[subtrees[edge][j]].set(rotP[0],rotP[1],rotP[2]);
        }
    }
}

function update(obj) {
   updateFacesPosition(obj);
   updateEdgesPosition(obj);
}

if (foldables.length) {
    var settings = document.getElementById('settings_0');
    var foldDiv = document.createElement('div');
    foldDiv.id = 'fold_0';
    var title = document.createElement('strong');
    title.innerHTML = 'Fold';
    foldDiv.appendChild(title);
    foldDiv.className = 'group';
    for (var i=0; i<foldables.length; i++) {
        var range = document.createElement('input');
        range.type = 'range';
        range.min = 0;
        range.max = 1;
        range.value = 0;
        range.step = 0.001;
        range.name = String(i);
        range.oninput = fold;
        foldDiv.appendChild(range);
    }
    lookAtBarycenter(foldables[0]);
    settings.insertBefore(foldDiv,settings.childNodes[0]);
}

    
// ---------------------- EXPLOSION ------------------------------------------------
// ---------------------------------------------------------------------------------

if (explodableModel) {
    for (var i=0; i<scene.children.length; i++) {
        obj = scene.children[i];
        if ( obj.userData.explodable ) {
            computeCentroid(obj);
        }
    }
    document.getElementById('explodeRange_0').oninput = triggerExplode;
    document.getElementById('explodeCheckbox_0').onchange = triggerAutomaticExplode;
    document.getElementById('explodingSpeedRange_0').oninput = setExplodingSpeed;
    explode(0.000001);
}

function computeCentroid(obj) {
    centroid = new THREE.Vector3();
    obj.userData.points.forEach(function(pmpoint) {
        centroid.add(pmpoint.vector);			
    });
    centroid.divideScalar(obj.userData.points.length);
    obj.userData.centroid = centroid;
}

function explode(factor) {
    for (var i=0; i<scene.children.length; i++) {
        var obj = scene.children[i];
        if (obj.userData.hasOwnProperty("centroid")) { 
            var c = obj.userData.centroid;
            obj.position.set(c.x*factor, c.y*factor, c.z*factor);
        }
    }	
}

function triggerExplode(event){
    explodeScale = Number(event.currentTarget.value);
    explode(explodeScale);
}

function setExplodingSpeed(event){
    explodingSpeed = Number(event.currentTarget.value);
}

function triggerAutomaticExplode(event){
    if (event.currentTarget.checked){
        startExploding();
    } else {
        clearIntervals();
    }	
}

function startExploding(){
    intervals.push(setInterval(explodingInterval, 25));
}


function explodingInterval(){
    explodeScale += explodingSpeed;
    if (explodeScale <= 6){ 
        explode(explodeScale);
    }
    else{
        explode(6);
        explodeScale = 6;
        clearIntervals();
        timeouts.push(setTimeout(startUnexploding, 3000));
    }
    document.getElementById('explodeRange_0').value = explodeScale;
}


function startUnexploding(){
    intervals.push(setInterval(unexplodingInterval, 25));
}

function unexplodingInterval(){
    explodeScale -= explodingSpeed;
    if (explodeScale >= 0){	
        explode(explodeScale);
    }
    else {
        explode(0);
        explodeScale = 0;
        clearIntervals();
        timeouts.push(setTimeout(startExploding, 3000));
    }
    document.getElementById('explodeRange_0').value = explodeScale;
}

function clearIntervals(){
    intervals.forEach(function(interval){
        clearInterval(interval);
    });
    intervals = [];
    timeouts.forEach(function(timeout){
        clearTimeout(timeout);
    });
    timeouts = [];
}

// ---------------------- DISPLAY --------------------------------------------------
// ---------------------------------------------------------------------------------

const objectTypeInnerHTMLs = { points: "Points", pointlabels: "Point labels", lines: "Edges", edgelabels: "Edge labels", faces: "Faces", arrowheads: "Arrow heads" };
const objectTypeVisible = {};
Object.assign(objectTypeVisible,modelContains);
const sortedObjectTypeKeys = Object.keys(objectTypeInnerHTMLs).sort();
const shownObjectTypesList = document.getElementById('shownObjectTypesList_0');

function setVisibility(bool,objname) {
    for (var i=0; i<scene.children.length; i++){
        var obj = scene.children[i].getObjectByName(objname);
        if (obj) {
            obj.visible = bool;
        }
    }
}

function toggleObjectTypeVisibility(event){
    var name = event.currentTarget.name;
    var checked = event.currentTarget.checked;
    objectTypeVisible[name] = checked;
    if (name == "faces") {
        setVisibility(checked,"frontfaces");
        setVisibility(checked,"backfaces");
    } else {
        setVisibility(checked,name);
    }
}

for (var i=0; i<sortedObjectTypeKeys.length; i++){
    var key = sortedObjectTypeKeys[i];
    if (modelContains[key]) {
        var objTypeNode = document.createElement('span');
        objTypeNode.innerHTML = objectTypeInnerHTMLs[key] + '<br>';
        var checkbox = document.createElement('input');
        checkbox.type = 'checkbox';
        checkbox.checked = true;
        checkbox.name = key;
        checkbox.onchange = toggleObjectTypeVisibility;
        shownObjectTypesList.appendChild(checkbox);
        shownObjectTypesList.appendChild(objTypeNode);
    }
}

// ------------------------------------------------------

function toggleObjectVisibility(event){
    var nr = Number(event.currentTarget.name);
    scene.children[nr].visible = event.currentTarget.checked;
}

// append checkboxes for displaying or hiding objects
var shownObjectsList = document.getElementById('shownObjectsList_0');
for (var i=0; i<scene.children.length; i++){
    obj = scene.children[i];
    var objNode = document.createElement('span');
    objNode.innerHTML = obj.name + '<br>';
    var checkbox = document.createElement('input');
    checkbox.type = 'checkbox';
    checkbox.checked = true;
    checkbox.name = String(i);
    checkbox.onchange = toggleObjectVisibility;
    shownObjectsList.appendChild(checkbox);
    shownObjectsList.appendChild(objNode);
}

// ---------------------- SVG ------------------------------------------------------
// ---------------------------------------------------------------------------------

function takeSvgScreenshot() {
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(false,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(false,"edgelabels");
    }
    svgRenderer.render(scene,camera);
    svgElement = XMLS.serializeToString(svgRenderer.domElement);
    
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(true,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(true,"edgelabels");
    }

    if (document.getElementById('tab_0').checked){
        //show in new tab
        var myWindow = window.open("","");
        myWindow.document.body.innerHTML = svgElement;
    } else{
        // download svg file 
        download("screenshot.svg", svgElement);
    }
}

function download(filename, text) {
    var element = document.createElement('a');
    element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
    element.setAttribute('download', filename);

    element.style.display = 'none';
    document.body.appendChild(element);

    element.click();

    document.body.removeChild(element);
}


document.getElementById('transparencyRange_0').oninput = changeTransparency;
document.getElementById('changeRotationX_0').onchange = changeRotationX;
document.getElementById('changeRotationY_0').onchange = changeRotationY;
document.getElementById('changeRotationZ_0').onchange = changeRotationZ;
document.getElementById('resetButton_0').onclick = resetScene;
document.getElementById('rotationSpeedRange_0').oninput = changeRotationSpeedFactor;
document.getElementById('takeScreenshot_0').onclick = takeSvgScreenshot;
document.getElementById('showSettingsButton_0').onclick = showSettings;
document.getElementById('hideSettingsButton_0').onclick = hideSettings;


// ------------------ SHORTCUTS --------------------------------------------
// -------------------------------------------------------------------------

/**
 * http://www.openjs.com/scripts/events/keyboard_shortcuts/
 * Version : 2.01.B
 * By Binny V A
 * License : BSD
 */
shortcut = {
	'all_shortcuts':{},//All the shortcuts are stored in this array
	'add': function(shortcut_combination,callback,opt) {
		//Provide a set of default options
		var default_options = {
			'type':'keydown',
			'propagate':false,
			'disable_in_input':false,
			'target':document,
			'keycode':false
		}
		if(!opt) opt = default_options;
		else {
			for(var dfo in default_options) {
				if(typeof opt[dfo] == 'undefined') opt[dfo] = default_options[dfo];
			}
		}

		var ele = opt.target;
		if(typeof opt.target == 'string') ele = document.getElementById(opt.target);
		var ths = this;
		shortcut_combination = shortcut_combination.toLowerCase();

		//The function to be called at keypress
		var func = function(e) {
			e = e || window.event;
			
			if(opt['disable_in_input']) { //Don't enable shortcut keys in Input, Textarea fields
				var element;
				if(e.target) element=e.target;
				else if(e.srcElement) element=e.srcElement;
				if(element.nodeType==3) element=element.parentNode;

				if(element.tagName == 'INPUT' || element.tagName == 'TEXTAREA') return;
			}
	
			//Find Which key is pressed
			if (e.keyCode) code = e.keyCode;
			else if (e.which) code = e.which;
			var character = String.fromCharCode(code).toLowerCase();
			
			if(code == 188) character=","; //If the user presses , when the type is onkeydown
			if(code == 190) character="."; //If the user presses , when the type is onkeydown

			var keys = shortcut_combination.split("+");
			//Key Pressed - counts the number of valid keypresses - if it is same as the number of keys, the shortcut function is invoked
			var kp = 0;
			
			//Work around for stupid Shift key bug created by using lowercase - as a result the shift+num combination was broken
			var shift_nums = {
				"`":"~",
				"1":"!",
				"2":"@",
				"3":"#",
				"4":"$",
				"5":"%",
				"6":"^",
				"7":"&",
				"8":"*",
				"9":"(",
				"0":")",
				"-":"_",
				"=":"+",
				";":":",
				"'":"\"",
				",":"<",
				".":">",
				"/":"?",
				"\\":"|"
			}
			//Special Keys - and their codes
			var special_keys = {
				'esc':27,
				'escape':27,
				'tab':9,
				'space':32,
				'return':13,
				'enter':13,
				'backspace':8,
	
				'scrolllock':145,
				'scroll_lock':145,
				'scroll':145,
				'capslock':20,
				'caps_lock':20,
				'caps':20,
				'numlock':144,
				'num_lock':144,
				'num':144,
				
				'pause':19,
				'break':19,
				
				'insert':45,
				'home':36,
				'delete':46,
				'end':35,
				
				'pageup':33,
				'page_up':33,
				'pu':33,
	
				'pagedown':34,
				'page_down':34,
				'pd':34,
	
				'left':37,
				'up':38,
				'right':39,
				'down':40,
	
				'f1':112,
				'f2':113,
				'f3':114,
				'f4':115,
				'f5':116,
				'f6':117,
				'f7':118,
				'f8':119,
				'f9':120,
				'f10':121,
				'f11':122,
				'f12':123
			}
	
			var modifiers = { 
				shift: { wanted:false, pressed:false},
				ctrl : { wanted:false, pressed:false},
				alt  : { wanted:false, pressed:false},
				meta : { wanted:false, pressed:false}	//Meta is Mac specific
			};
                        
			if(e.ctrlKey)	modifiers.ctrl.pressed = true;
			if(e.shiftKey)	modifiers.shift.pressed = true;
			if(e.altKey)	modifiers.alt.pressed = true;
			if(e.metaKey)   modifiers.meta.pressed = true;
                        
			for(var i=0; k=keys[i],i<keys.length; i++) {
				//Modifiers
				if(k == 'ctrl' || k == 'control') {
					kp++;
					modifiers.ctrl.wanted = true;

				} else if(k == 'shift') {
					kp++;
					modifiers.shift.wanted = true;

				} else if(k == 'alt') {
					kp++;
					modifiers.alt.wanted = true;
				} else if(k == 'meta') {
					kp++;
					modifiers.meta.wanted = true;
				} else if(k.length > 1) { //If it is a special key
					if(special_keys[k] == code) kp++;
					
				} else if(opt['keycode']) {
					if(opt['keycode'] == code) kp++;

				} else { //The special keys did not match
					if(character == k) kp++;
					else {
						if(shift_nums[character] && e.shiftKey) { //Stupid Shift key bug created by using lowercase
							character = shift_nums[character]; 
							if(character == k) kp++;
						}
					}
				}
			}
			
			if(kp == keys.length && 
						modifiers.ctrl.pressed == modifiers.ctrl.wanted &&
						modifiers.shift.pressed == modifiers.shift.wanted &&
						modifiers.alt.pressed == modifiers.alt.wanted &&
						modifiers.meta.pressed == modifiers.meta.wanted) {
				callback(e);
	
				if(!opt['propagate']) { //Stop the event
					//e.cancelBubble is supported by IE - this will kill the bubbling process.
					e.cancelBubble = true;
					e.returnValue = false;
	
					//e.stopPropagation works in Firefox.
					if (e.stopPropagation) {
						e.stopPropagation();
						e.preventDefault();
					}
					return false;
				}
			}
		}
		this.all_shortcuts[shortcut_combination] = {
			'callback':func, 
			'target':ele, 
			'event': opt['type']
		};
		//Attach the function with the event
		if(ele.addEventListener) ele.addEventListener(opt['type'], func, false);
		else if(ele.attachEvent) ele.attachEvent('on'+opt['type'], func);
		else ele['on'+opt['type']] = func;
	},

	//Remove the shortcut - just specify the shortcut and I will remove the binding
	'remove':function(shortcut_combination) {
		shortcut_combination = shortcut_combination.toLowerCase();
		var binding = this.all_shortcuts[shortcut_combination];
		delete(this.all_shortcuts[shortcut_combination])
		if(!binding) return;
		var type = binding['event'];
		var ele = binding['target'];
		var callback = binding['callback'];

		if(ele.detachEvent) ele.detachEvent('on'+type, callback);
		else if(ele.removeEventListener) ele.removeEventListener(type, callback, false);
		else ele['on'+type] = false;
	}
}

shortcut.add("Alt+Left",function() {
	var event = new Event('click');
	if (settingsShown){
		document.getElementById('hideSettingsButton_0').dispatchEvent(event);
	} else {
		document.getElementById('showSettingsButton_0').dispatchEvent(event);
	}
});


// COMMON_CODE_BLOCK_END

});});
      </script>
   </body>
</html>
</HTML>
==== I.2 Bounding a tropical surface in polymake and exporting it to OpenSCAD ====

Constructing a bounding box can be done using the command ''%%generateBoundingBox%%'':

<code perl>
> $boundingBox = generateBoundingBox($tropicalSurface);
</code>
> Note: ''%%generateBoundingBox($tropicalSurface)%%'' draws a box around all vertices of ''%%$tropicalSurface%%'' with a margin of 1, ''%%generateBoundingBox($tropicalSurface,3,4,5)%%'' draw a box around all vertices of ''%%$tropicalSurface%%'' with margins 3, 4, 5 in x-, y-, z-direction respectively.

or by specifying a custom ''%%polytope%%'', which need not be a cuboid:

<code perl>
> $boundingBox = polytope::scale(polytope::cube(3),2);
</code>
To construct a bounded polyhedral complex use the command ''%%intersectWithBoundingBox%%'', which intersects any ''%%fan::PolyhedralComplex%%'' with a ''%%polytope%%''.

<code perl>
> $tropicalSurfaceBounded = intersectWithBoundingBox($tropicalSurface,$boundingBox);
> $tropicalSurfaceBounded->VISUAL;
</code>
<HTML>
<!--
polymake for ren
Fri Feb 25 14:53:01 2022
pcom:
-->


<html>
   <head>
      <meta charset=utf-8>
      <title>pcom:</title>
      <style>
/*
// COMMON_CODE_BLOCK_BEGIN
*/
         html {overflow: scroll;}
         strong{font-size: 18px;}
         canvas { z-index: 8; }
         input[type='radio'] {margin-left:0;}
         input[type='checkbox'] {margin-right:7px; margin-left: 0px; padding-left:0px;}
         .group{padding-bottom: 15px;}
         .settings * {z-index: 11; }
         .settings{z-index: 10; font-family: Arial, Helvetica, sans-serif; margin-left: 30px; visibility: hidden; width: 14em; height: 96%; border: solid 1px silver; padding: 2px; overflow-y: scroll; box-sizing: border-box; background-color: white; position: absolute;}
         .indented{margin-left: 20px; margin-top: 10px; padding-bottom: 0px;} 
         .shownObjectsList{overflow: auto; max-width: 150px; max-height: 150px;}
         .showSettingsButton{visibility: visible; z-index: 12; position: absolute }
         .hideSettingsButton{visibility: hidden; z-index: 12; position: absolute; opacity: 0.5}
         button{margin-left: 0; margin-top: 10px}
         img{cursor: pointer;}
         .suboption{padding-top: 15px;}
         #model96420420337 { width: 100%; height: 100%; }
         .threejs_container { width: 100%; height: 75vh;}
         .settings{max-height: 74vh} 
         input[type=range] {
           -webkit-appearance: none;
           padding:0; 
           width:90%; 
           margin-left: auto;
           margin-right: auto;
           margin-top: 15px;
           margin-bottom: 15px;
           display: block;	
         }
         input[type=range]:focus {
           outline: none;
         }
         input[type=range]::-webkit-slider-runnable-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-webkit-slider-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
           -webkit-appearance: none;
           margin-top: -5px;
         }
         input[type=range]:focus::-webkit-slider-runnable-track {
           background: #E3E3E3;
         }
         input[type=range]::-moz-range-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-moz-range-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]::-ms-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           background: transparent;
           border-color: transparent;
           color: transparent;
         }
         input[type=range]::-ms-fill-lower {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-fill-upper {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]:focus::-ms-fill-lower {
           background: #E3E3E3;
         }
         input[type=range]:focus::-ms-fill-upper {
           background: #E3E3E3;
         }
/*
// COMMON_CODE_BLOCK_END
*/
		</style>
   </head>
<body>
   <div class='threejs_container'>
		<div id='settings_1' class='settings'>
			<div class=group id='explode_1'>
				<strong>Explode</strong>
				<input id='explodeRange_1' type='range' min='0.00001' max=6 step=0.01 value=0.00001>
				<div class=indented><input id='explodeCheckbox_1' type='checkbox'>Automatic explosion</div>
				<div class=suboption>Exploding speed</div>
				<input id='explodingSpeedRange_1' type='range' min=0 max=0.5 step=0.001 value=0.05>
			</div>
	
			<div class=group id='transparency_1' class='transparency'>
				<strong>Transparency</strong>
				<input id='transparencyRange_1' type='range' min=0 max=1 step=0.01 value=0>
			</div>
			
			<div class=group id='rotation_1'>
				<strong>Rotation</strong>
				<div class=indented>
					<div><input type='checkbox' id='changeRotationX_1'> x-axis</div>
					<div><input type='checkbox' id='changeRotationY_1'> y-axis</div>
					<div><input type='checkbox' id='changeRotationZ_1'> z-axis</div>
					<button id='resetButton_1'>Reset</button>
				</div>

				<div class=suboption>Rotation speed</div>
				<input id='rotationSpeedRange_1' type='range' min=0 max=5 step=0.01 value=2>
			</div>


			<div class=group id='display_1'>
				<strong>Display</strong>
				<div class=indented>
					<div id='shownObjectTypesList_1' class='shownObjectsList'></div>
				</div>
				<div class=suboption>Objects</div>
				<div class=indented>
				   <div id='shownObjectsList_1' class='shownObjectsList'></div>
				</div>
			</div>
         
         <div class=group id='camera_1'>
            <strong>Camera</strong>
            <div class=indented>
               <form>
                  <select id="cameraType_1">
                     <option value='perspective' selected> Perspective<br></option>
                     <option value='orthographic' > Orthographic<br></option>
                  </select>
               </form>
            </div>
         </div>

			<div class=group id='svg_1'>
				<strong>SVG</strong>
				<div class=indented>
					<form>
						<input type="radio" name='screenshotMode' value='download' id='download_1' checked> Download<br>
						<input type="radio" name='screenshotMode' value='tab' id='tab_1' > New tab<br>
					</form>
					<button id='takeScreenshot_1'>Screenshot</button>
				</div>
			</div>

		</div>	<!-- end of settings -->
		<img id='hideSettingsButton_1' class='hideSettingsButton' src='/kernelspecs/r118/polymake/close.svg' width=20px">
		<img id='showSettingsButton_1' class='showSettingsButton' src='/kernelspecs/r118/polymake/menu.svg' width=20px">
<div id="model96420420337"></div>
</div>
   <script>
    requirejs.config({
      paths: {
        three: '/kernelspecs/r118/polymake/three',
        TrackballControls: '/kernelspecs/r118/polymake/TrackballControls',
        OrbitControls: '/kernelspecs/r118/polymake/OrbitControls',
        Projector: '/kernelspecs/r118/polymake/Projector',
        SVGRenderer: '/kernelspecs/r118/polymake/SVGRenderer',
        WEBGL: '/kernelspecs/r118/polymake/WebGL',
      },
      shim: {
        'three': { exports: 'THREE'},
        'SVGRenderer': { deps: [ 'three' ], exports: 'THREE.SVGRenderer' },
        'WEBGL': { deps: [ 'three' ], exports: 'THREE.WEBGL' },
        'Projector': { deps: [ 'three' ], exports: 'THREE.Projector' },
        'TrackballControls': { deps: [ 'three' ], exports: 'THREE.TrackballControls' },
        'OrbitControls': { deps: [ 'three' ], exports: 'THREE.OrbitControls' },
      }
    });
    
    require(['three'],function(THREE){
        window.THREE = THREE;
      require(['TrackballControls', 'OrbitControls', 'Projector', 'SVGRenderer', 'WEBGL'],
               function(TrackballControls, OrbitControls, Projector, SVGRenderer, WEBGL) {
    THREE.TrackballControls = TrackballControls;
    THREE.OrbitControls = OrbitControls;
    THREE.Projector = Projector;
    THREE.SVGRenderer = SVGRenderer;
    THREE.WEBGL = WEBGL;

// COMMON_CODE_BLOCK_BEGIN

const intervalLength = 25; // for automatic animations
const explodableModel = true; 
const modelContains = { points: false, pointlabels: false, lines: false, edgelabels: false, faces: false, arrowheads: false };
const foldables = [];

var three = document.getElementById("model96420420337");
var scene = new THREE.Scene();
var renderer = new THREE.WebGLRenderer( { antialias: true } );
var svgRenderer = new THREE.SVGRenderer( { antialias: true } );
renderer.setPixelRatio( window.devicePixelRatio );
renderer.setClearColor(0xFFFFFF, 1);
svgRenderer.setClearColor(0xFFFFFF, 1);
three.appendChild(renderer.domElement);

var frustumSize = 4;
var cameras = [new THREE.PerspectiveCamera(75, 1, 0.1, 1000), new THREE.OrthographicCamera()];
cameras.forEach(function(cam) {
    cam.position.set(0, 0, 5);
    cam.lookAt(0, 0, 0);  
    cam.up.set(0, 1, 0);         
});
var controls = [new THREE.TrackballControls(cameras[0], three), new THREE.OrbitControls(cameras[1], three)];
var camera, control;

controls[0].zoomSpeed = 0.2;
controls[0].rotateSpeed = 4;


// class to allow move points together with labels and spheres
var PMPoint = function (x,y,z) {
   this.vector = new THREE.Vector3(x,y,z);
   this.sprite = null;
   this.sphere = null;
}
PMPoint.prototype.addLabel = function(labelsprite) {
   this.sprite = labelsprite;
   this.sprite.position.copy(this.vector);
}
PMPoint.prototype.addSphere = function(spheremesh) {
   this.sphere = spheremesh;
   this.sphere.position.copy(this.vector);
}
PMPoint.prototype.set = function(x,y,z) {
   this.vector.set(x,y,z);
   if (this.sprite) {
      this.sprite.position.copy(this.vector);
   }
   if (this.sphere) {
      this.sphere.position.copy(this.vector);
   }
}
PMPoint.prototype.radius = function() {
   if (this.sphere) {
      return this.sphere.geometry.parameters.radius;
   } else {
      return 0;
   }
};
// select the target node
var target = document.querySelector('#model96420420337');

// create an observer instance
var observer = new MutationObserver(function(mutations) {
   mutations.forEach(function(mutation) {
      if (mutation.removedNodes && mutation.removedNodes.length > 0) {
         cancelAnimationFrame(renderId);
         observer.disconnect();
         console.log("cancelled frame "+renderId);
      }
   });
});

// configuration of the observer:
var config = { childList: true, characterData: true }

// pass in the target node, as well as the observer options
while (target) {
   if (target.className=="output") {
      observer.observe(target, config);
      break;
   }
   target = target.parentNode;
}

// COMMON_CODE_BLOCK_END

var obj0 = new THREE.Object3D();
obj0.name = "unnamed__1";
obj0.userData.explodable = 1;
obj0.userData.points = [];
obj0.userData.points.push(new PMPoint(1, 2, 1));
obj0.userData.points.push(new PMPoint(1, 1, 1));
obj0.userData.points.push(new PMPoint(1, 1, 2));
obj0.userData.points.push(new PMPoint(1, 2, 2));

obj0.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj0.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj0.userData.pointlabels = ["0", "1", "2", "3"];
obj0.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj0.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj0.userData.facets = [[0, 3, 2, 1]];
   <!-- Facet style -->
obj0.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj0);
scene.add(obj0);

var obj1 = new THREE.Object3D();
obj1.name = "unnamed__2";
obj1.userData.explodable = 1;
obj1.userData.points = [];
obj1.userData.points.push(new PMPoint(1, 1, 1));
obj1.userData.points.push(new PMPoint(1, 1, 2));
obj1.userData.points.push(new PMPoint(2, 1, 1));
obj1.userData.points.push(new PMPoint(2, 1, 2));

obj1.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj1.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj1.userData.pointlabels = ["1", "2", "4", "5"];
obj1.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj1.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj1.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj1.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj1);
scene.add(obj1);

var obj2 = new THREE.Object3D();
obj2.name = "unnamed__3";
obj2.userData.explodable = 1;
obj2.userData.points = [];
obj2.userData.points.push(new PMPoint(1, 1, 1));
obj2.userData.points.push(new PMPoint(1, 1, 2));
obj2.userData.points.push(new PMPoint(0, 0, 0));
obj2.userData.points.push(new PMPoint(0, 0, 2));

obj2.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj2.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj2.userData.pointlabels = ["1", "2", "6", "7"];
obj2.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj2.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj2.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj2.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj2);
scene.add(obj2);

var obj3 = new THREE.Object3D();
obj3.name = "unnamed__4";
obj3.userData.explodable = 1;
obj3.userData.points = [];
obj3.userData.points.push(new PMPoint(1, 2, 1));
obj3.userData.points.push(new PMPoint(1, 1, 1));
obj3.userData.points.push(new PMPoint(2, 1, 1));
obj3.userData.points.push(new PMPoint(2, 2, 1));

obj3.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj3.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj3.userData.pointlabels = ["0", "1", "4", "8"];
obj3.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj3.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj3.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj3.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj3);
scene.add(obj3);

var obj4 = new THREE.Object3D();
obj4.name = "unnamed__5";
obj4.userData.explodable = 1;
obj4.userData.points = [];
obj4.userData.points.push(new PMPoint(1, 2, 1));
obj4.userData.points.push(new PMPoint(1, 1, 1));
obj4.userData.points.push(new PMPoint(0, 0, 0));
obj4.userData.points.push(new PMPoint(0, 2, 0));

obj4.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj4.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj4.userData.pointlabels = ["0", "1", "6", "9"];
obj4.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj4.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj4.userData.facets = [[1, 0, 3, 2]];
   <!-- Facet style -->
obj4.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj4);
scene.add(obj4);

var obj5 = new THREE.Object3D();
obj5.name = "unnamed__6";
obj5.userData.explodable = 1;
obj5.userData.points = [];
obj5.userData.points.push(new PMPoint(1, 1, 1));
obj5.userData.points.push(new PMPoint(2, 1, 1));
obj5.userData.points.push(new PMPoint(0, 0, 0));
obj5.userData.points.push(new PMPoint(2, 0, 0));

obj5.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj5.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj5.userData.pointlabels = ["1", "4", "6", "10"];
obj5.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj5.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj5.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj5.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj5);
scene.add(obj5);

var obj6 = new THREE.Object3D();
obj6.name = "unnamed__7";
obj6.userData.explodable = 1;
obj6.userData.points = [];
obj6.userData.points.push(new PMPoint(0, 0, 0));
obj6.userData.points.push(new PMPoint(0, 0, 2));
obj6.userData.points.push(new PMPoint(-1, 0, 0));
obj6.userData.points.push(new PMPoint(-1, 0, 2));

obj6.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj6.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj6.userData.pointlabels = ["6", "7", "11", "12"];
obj6.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj6.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj6.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj6.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj6);
scene.add(obj6);

var obj7 = new THREE.Object3D();
obj7.name = "unnamed__8";
obj7.userData.explodable = 1;
obj7.userData.points = [];
obj7.userData.points.push(new PMPoint(0, 0, 0));
obj7.userData.points.push(new PMPoint(0, 0, 2));
obj7.userData.points.push(new PMPoint(0, -1, 0));
obj7.userData.points.push(new PMPoint(0, -1, 2));

obj7.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj7.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj7.userData.pointlabels = ["6", "7", "13", "14"];
obj7.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj7.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj7.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj7.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj7);
scene.add(obj7);

var obj8 = new THREE.Object3D();
obj8.name = "unnamed__9";
obj8.userData.explodable = 1;
obj8.userData.points = [];
obj8.userData.points.push(new PMPoint(0, 0, 0));
obj8.userData.points.push(new PMPoint(0, 2, 0));
obj8.userData.points.push(new PMPoint(-1, 0, 0));
obj8.userData.points.push(new PMPoint(-1, 2, 0));

obj8.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj8.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj8.userData.pointlabels = ["6", "9", "11", "15"];
obj8.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj8.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj8.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj8.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj8);
scene.add(obj8);

var obj9 = new THREE.Object3D();
obj9.name = "unnamed__10";
obj9.userData.explodable = 1;
obj9.userData.points = [];
obj9.userData.points.push(new PMPoint(0, 0, 0));
obj9.userData.points.push(new PMPoint(0, 2, 0));
obj9.userData.points.push(new PMPoint(0, 0, -1));
obj9.userData.points.push(new PMPoint(0, 2, -1));

obj9.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj9.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj9.userData.pointlabels = ["6", "9", "16", "17"];
obj9.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj9.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj9.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj9.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj9);
scene.add(obj9);

var obj10 = new THREE.Object3D();
obj10.name = "unnamed__11";
obj10.userData.explodable = 1;
obj10.userData.points = [];
obj10.userData.points.push(new PMPoint(0, 0, 0));
obj10.userData.points.push(new PMPoint(-1, 0, 0));
obj10.userData.points.push(new PMPoint(-2, -1, -1));
obj10.userData.points.push(new PMPoint(-2, -2, -2));

obj10.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj10.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj10.userData.pointlabels = ["6", "11", "18", "19"];
obj10.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj10.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj10.userData.facets = [[2, 1, 0, 3]];
   <!-- Facet style -->
obj10.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj10);
scene.add(obj10);

var obj11 = new THREE.Object3D();
obj11.name = "unnamed__12";
obj11.userData.explodable = 1;
obj11.userData.points = [];
obj11.userData.points.push(new PMPoint(0, 0, 0));
obj11.userData.points.push(new PMPoint(2, 0, 0));
obj11.userData.points.push(new PMPoint(0, -1, 0));
obj11.userData.points.push(new PMPoint(2, -1, 0));

obj11.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj11.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj11.userData.pointlabels = ["6", "10", "13", "20"];
obj11.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj11.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj11.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj11.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj11);
scene.add(obj11);

var obj12 = new THREE.Object3D();
obj12.name = "unnamed__13";
obj12.userData.explodable = 1;
obj12.userData.points = [];
obj12.userData.points.push(new PMPoint(0, 0, 0));
obj12.userData.points.push(new PMPoint(2, 0, 0));
obj12.userData.points.push(new PMPoint(0, 0, -1));
obj12.userData.points.push(new PMPoint(2, 0, -1));

obj12.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj12.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj12.userData.pointlabels = ["6", "10", "16", "21"];
obj12.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj12.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj12.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj12.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj12);
scene.add(obj12);

var obj13 = new THREE.Object3D();
obj13.name = "unnamed__14";
obj13.userData.explodable = 1;
obj13.userData.points = [];
obj13.userData.points.push(new PMPoint(0, 0, 0));
obj13.userData.points.push(new PMPoint(0, -1, 0));
obj13.userData.points.push(new PMPoint(-2, -2, -2));
obj13.userData.points.push(new PMPoint(-1, -2, -1));

obj13.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj13.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj13.userData.pointlabels = ["6", "13", "19", "22"];
obj13.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj13.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj13.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj13.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj13);
scene.add(obj13);

var obj14 = new THREE.Object3D();
obj14.name = "unnamed__15";
obj14.userData.explodable = 1;
obj14.userData.points = [];
obj14.userData.points.push(new PMPoint(0, 0, 0));
obj14.userData.points.push(new PMPoint(0, 0, -1));
obj14.userData.points.push(new PMPoint(-2, -2, -2));
obj14.userData.points.push(new PMPoint(-1, -1, -2));

obj14.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj14.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj14.userData.pointlabels = ["6", "16", "19", "23"];
obj14.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj14.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj14.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj14.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj14);
scene.add(obj14);

var obj15 = new THREE.Object3D();
obj15.name = "unnamed__16";
obj15.userData.explodable = 1;
obj15.userData.points = [];
obj15.userData.points.push(new PMPoint(-1, 0, 0));
obj15.userData.points.push(new PMPoint(-1, 0, 2));
obj15.userData.points.push(new PMPoint(-1, 2, 0));
obj15.userData.points.push(new PMPoint(-1, 2, 2));

obj15.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj15.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj15.userData.pointlabels = ["11", "12", "15", "24"];
obj15.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj15.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj15.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj15.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj15);
scene.add(obj15);

var obj16 = new THREE.Object3D();
obj16.name = "unnamed__17";
obj16.userData.explodable = 1;
obj16.userData.points = [];
obj16.userData.points.push(new PMPoint(-1, 0, 0));
obj16.userData.points.push(new PMPoint(-1, 0, 2));
obj16.userData.points.push(new PMPoint(-2, -1, -1));
obj16.userData.points.push(new PMPoint(-2, -1, 2));

obj16.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj16.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj16.userData.pointlabels = ["11", "12", "18", "25"];
obj16.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj16.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj16.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj16.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj16);
scene.add(obj16);

var obj17 = new THREE.Object3D();
obj17.name = "unnamed__18";
obj17.userData.explodable = 1;
obj17.userData.points = [];
obj17.userData.points.push(new PMPoint(-1, 0, 0));
obj17.userData.points.push(new PMPoint(-1, 2, 0));
obj17.userData.points.push(new PMPoint(-2, -1, -1));
obj17.userData.points.push(new PMPoint(-2, 2, -1));

obj17.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj17.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj17.userData.pointlabels = ["11", "15", "18", "26"];
obj17.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj17.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj17.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj17.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj17);
scene.add(obj17);

var obj18 = new THREE.Object3D();
obj18.name = "unnamed__19";
obj18.userData.explodable = 1;
obj18.userData.points = [];
obj18.userData.points.push(new PMPoint(0, -1, 0));
obj18.userData.points.push(new PMPoint(0, -1, 2));
obj18.userData.points.push(new PMPoint(2, -1, 0));
obj18.userData.points.push(new PMPoint(2, -1, 2));

obj18.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj18.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj18.userData.pointlabels = ["13", "14", "20", "27"];
obj18.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj18.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj18.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj18.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj18);
scene.add(obj18);

var obj19 = new THREE.Object3D();
obj19.name = "unnamed__20";
obj19.userData.explodable = 1;
obj19.userData.points = [];
obj19.userData.points.push(new PMPoint(0, -1, 0));
obj19.userData.points.push(new PMPoint(0, -1, 2));
obj19.userData.points.push(new PMPoint(-1, -2, -1));
obj19.userData.points.push(new PMPoint(-1, -2, 2));

obj19.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj19.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj19.userData.pointlabels = ["13", "14", "22", "28"];
obj19.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj19.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj19.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj19.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj19);
scene.add(obj19);

var obj20 = new THREE.Object3D();
obj20.name = "unnamed__21";
obj20.userData.explodable = 1;
obj20.userData.points = [];
obj20.userData.points.push(new PMPoint(0, -1, 0));
obj20.userData.points.push(new PMPoint(2, -1, 0));
obj20.userData.points.push(new PMPoint(-1, -2, -1));
obj20.userData.points.push(new PMPoint(2, -2, -1));

obj20.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj20.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj20.userData.pointlabels = ["13", "20", "22", "29"];
obj20.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj20.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj20.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj20.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj20);
scene.add(obj20);

var obj21 = new THREE.Object3D();
obj21.name = "unnamed__22";
obj21.userData.explodable = 1;
obj21.userData.points = [];
obj21.userData.points.push(new PMPoint(0, 0, -1));
obj21.userData.points.push(new PMPoint(0, 2, -1));
obj21.userData.points.push(new PMPoint(2, 0, -1));
obj21.userData.points.push(new PMPoint(2, 2, -1));

obj21.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj21.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj21.userData.pointlabels = ["16", "17", "21", "30"];
obj21.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj21.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj21.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj21.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj21);
scene.add(obj21);

var obj22 = new THREE.Object3D();
obj22.name = "unnamed__23";
obj22.userData.explodable = 1;
obj22.userData.points = [];
obj22.userData.points.push(new PMPoint(0, 0, -1));
obj22.userData.points.push(new PMPoint(0, 2, -1));
obj22.userData.points.push(new PMPoint(-1, -1, -2));
obj22.userData.points.push(new PMPoint(-1, 2, -2));

obj22.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj22.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj22.userData.pointlabels = ["16", "17", "23", "31"];
obj22.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj22.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj22.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj22.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj22);
scene.add(obj22);

var obj23 = new THREE.Object3D();
obj23.name = "unnamed__24";
obj23.userData.explodable = 1;
obj23.userData.points = [];
obj23.userData.points.push(new PMPoint(0, 0, -1));
obj23.userData.points.push(new PMPoint(2, 0, -1));
obj23.userData.points.push(new PMPoint(-1, -1, -2));
obj23.userData.points.push(new PMPoint(2, -1, -2));

obj23.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj23.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj23.userData.pointlabels = ["16", "21", "23", "32"];
obj23.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj23.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj23.userData.facets = [[0, 1, 3, 2]];
   <!-- Facet style -->
obj23.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj23);
scene.add(obj23);

// COMMON_CODE_BLOCK_BEGIN
function textSpriteMaterial(message, parameters) {
    if ( parameters === undefined ) parameters = {};
    var fontface = "Helvetica";
    var fontsize = parameters.hasOwnProperty("fontsize") ? parameters["fontsize"] : 15;
    fontsize = fontsize*10;
    var lines = message.split('\\n');
    var size = 512;
    for(var i = 0; i<lines.length; i++){
        var tmp = lines[i].length;
        while(tmp*fontsize > size){
           fontsize--;
        }
    }
    
    var canvas = document.createElement('canvas');
    canvas.width = size;
    canvas.height = size;
    var context = canvas.getContext('2d');
    context.fillStyle = "rgba(255, 255, 255, 0)";
    context.fill();
    context.font = fontsize + "px " + fontface;
    
    // text color
    context.fillStyle = "rgba(0, 0, 0, 1.0)";
     for(var i = 0; i<lines.length; i++){
        context.fillText(lines[i], size/2, size/2+i*fontsize);
     }
    
    // canvas contents will be used for a texture
    var texture = new THREE.Texture(canvas);
    texture.needsUpdate = true;
    
    var spriteMaterial = new THREE.SpriteMaterial({map: texture, depthTest: true, depthWrite: false, polygonOffset: true, polygonOffsetFactor: -1, polygonOffsetUnits: 1 });
    return spriteMaterial;
}


// ---------------------- INITIALIZING OBJECTS--------------------------------------
// ---------------------------------------------------------------------------------

function init_object(obj) {
    if (obj.userData.hasOwnProperty("pointmaterial")) {
        init_points(obj);
        modelContains.points = true;
    }
    if (obj.userData.hasOwnProperty("pointlabels")) {
        init_pointlabels(obj);
        modelContains.pointlabels = true;
    }
    if (obj.userData.hasOwnProperty("edgematerial")) {
        init_lines(obj);
        modelContains.lines = true;
    }
    if (obj.userData.hasOwnProperty("edgelabels")) {
        init_edgelabels(obj);
        modelContains.edgelabels = true;
    }
    if (obj.userData.hasOwnProperty("arrowstyle")) {
        init_arrowheads(obj);
        modelContains.arrowheads = true;
    }
    if (obj.userData.hasOwnProperty("facetmaterial")) {
        init_faces(obj);
        modelContains.faces = true;
    }
}

function init_points(obj) {
    var pointgroup = new THREE.Group();
    pointgroup.name = "points";
    var points = obj.userData.points;
    var radii = obj.userData.pointradii;
    var materials = obj.userData.pointmaterial;
    var geometry,material;
    if (!Array.isArray(radii)) {
        geometry = new THREE.SphereBufferGeometry(radii);  
    }
    if (!Array.isArray(materials)) {
        material = materials;
    }
    for (var i=0; i<points.length; i++) {
        var point = points[i];
        if (Array.isArray(radii)) {
            if (radii[i] == 0) {
                continue;
            }
            geometry = new THREE.SphereBufferGeometry(radii[i]);  
        } 
        if (Array.isArray(materials)) {
            material = materials[i];     
        } 
        var sphere = new THREE.Mesh(geometry, material);
        point.addSphere(sphere);
        pointgroup.add(sphere);
    }
    obj.add(pointgroup);
}

function init_pointlabels(obj) {
    var points = obj.userData.points;
    var labels = obj.userData.pointlabels;
    var pointlabels = new THREE.Group();
    pointlabels.name = "pointlabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<points.length; i++) {
            var point = points[i];
            var spriteMaterial = textSpriteMaterial( labels[i] );
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<points.length; i++) {
            var point = points[i];
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    }
    obj.add(pointlabels);
}

function init_lines(obj) {
    var edgeindices = obj.userData.edgeindices;
    var points = obj.userData.points;
    var materials = obj.userData.edgematerial;
    var geometry = new THREE.BufferGeometry();
    var bufarr = new Float32Array( obj.userData.edgeindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute( bufarr, 3 );
    var geometry = new THREE.BufferGeometry();
    geometry.setAttribute('position', bufattr);
    if (Array.isArray(materials)) {     
        for (var i=0; i<materials.length; i++) {
            geometry.addGroup(2*i,2,i);
        }
    }
    var lines = new THREE.LineSegments(geometry, materials);
    lines.name = "lines";
    obj.add(lines);
    updateEdgesPosition(obj);
}

function init_edgelabels(obj) {
    var points = obj.userData.points;
    var edgeindices = obj.userData.edgeindices;
    var labels = obj.userData.edgelabels;
    var edgelabels = new THREE.Group();
    edgelabels.name = "edgelabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<edgeindices.length/2; i++) {
            var spriteMaterial = textSpriteMaterial( labels[i] );
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<edgeindices.length/2; i++) {
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    }
    obj.add(edgelabels);
}

function init_arrowheads(obj) {
    var arrowheads = new THREE.Group();
    arrowheads.name = "arrowheads";
    var arrowstyle = obj.userData.arrowstyle;
    var edgeindices = obj.userData.edgeindices;
    var edgematerials = obj.userData.edgematerial;
    var points = obj.userData.points;
    var material;
    if (!Array.isArray(edgematerials)) {
        material = new THREE.MeshBasicMaterial( {color: edgematerials.color} );
    }

    for (var i=0; i<edgeindices.length; i=i+2) {
        var start = points[edgeindices[i]];
        var end = points[edgeindices[i+1]];
        var dist = start.vector.distanceTo( end.vector ) - start.radius() - end.radius();
        if (dist <= 0) {
            continue;
        }
        var dir = new THREE.Vector3().subVectors(end.vector,start.vector);
        dir.normalize();
        var axis = new THREE.Vector3().set(dir.z,0,-dir.x);
        axis.normalize();
        var radians = Math.acos( dir.y );
        var radius = dist/25;
        var height = dist/5;
        var geometry = new THREE.ConeBufferGeometry(radius,height);
        var position = new THREE.Vector3().addVectors(start.vector,dir.clone().multiplyScalar(start.radius()+dist-height/2));
        if (Array.isArray(edgematerials)) {
            material = new THREE.MeshBasicMaterial( {color: edgematerials[i].color} );
        }
        var cone = new THREE.Mesh( geometry, material );
        cone.quaternion.setFromAxisAngle(axis,radians);;
        cone.position.copy(position);;
        arrowheads.add(cone);
    }
    obj.add(arrowheads);
}

function init_faces(obj) {
    var points = obj.userData.points;
    var facets = obj.userData.facets;
    obj.userData.triangleindices = [];
    for (var i=0; i<facets.length; i++) {
        facet = facets[i];
        for (var t=0; t<facet.length-2; t++) {
            obj.userData.triangleindices.push(facet[0],facet[t+1],facet[t+2]);  
        }
    }
    var bufarr = new Float32Array( obj.userData.triangleindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute(bufarr,3);
    
    var materials = obj.userData.facetmaterial;
    var geometry = new THREE.BufferGeometry();
    var frontmaterials = [];
    var backmaterials = [];
    geometry.setAttribute('position',bufattr);
    if (Array.isArray(materials)) {
        var tricount = 0;
        var facet;
        for (var i=0; i<facets.length; i++) {
            facet = facets[i];
            geometry.addGroup(tricount,(facet.length-2)*3,i);
            tricount += (facet.length-2)*3;
        }
        for (var j=0; j<materials.length; j++) {
            var fmat = materials[j].clone()
            fmat.side = THREE.FrontSide;
            frontmaterials.push(fmat);
            var bmat = materials[j].clone()
            bmat.side = THREE.BackSide;
            backmaterials.push(bmat);
            obj.userData.facetmaterial = frontmaterials.concat(backmaterials);
        }
    } else if (materials instanceof THREE.Material) {
        frontmaterials = materials.clone()
        frontmaterials.side = THREE.FrontSide;
        backmaterials = materials.clone()
        backmaterials.side = THREE.BackSide;
        obj.userData.facetmaterial = [frontmaterials, backmaterials];
    }
    // duplicating the object with front and back should avoid transparency issues
    var backmesh = new THREE.Mesh(geometry, backmaterials);
    // meshname is used to show/hide objects
    backmesh.name = "backfaces";
    obj.add(backmesh);
    var frontmesh = new THREE.Mesh(geometry, frontmaterials);
    frontmesh.name = "frontfaces";
    obj.add(frontmesh);
    updateFacesPosition(obj);
}
// //INITIALIZING


function updateFacesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.triangleindices;
    var faces = obj.getObjectByName("frontfaces");
    var ba = faces.geometry.getAttribute("position");
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    faces.geometry.attributes.position.needsUpdate = true;
    
}

function updateEdgesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.edgeindices;
    var lines = obj.getObjectByName("lines");
    var ba = lines.geometry.getAttribute("position"); 
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    lines.geometry.attributes.position.needsUpdate = true;
}

function onWindowResize() {
    renderer.setSize( three.clientWidth, three.clientHeight );
    svgRenderer.setSize( three.clientWidth, three.clientHeight );
    updateCamera();
}

function updateCamera() {
    var width = three.clientWidth;
    var height = three.clientHeight;
    var aspect = width / height;
    if (camera.type == "OrthographicCamera") {
        camera.left = frustumSize * aspect / - 2;
        camera.right = frustumSize * aspect / 2;
        camera.top = frustumSize / 2;
        camera.bottom = - frustumSize / 2;
    } else if (camera.type == "PerspectiveCamera") {
        camera.aspect = aspect;
    }
    camera.updateProjectionMatrix();
}

function changeCamera(event) {
    var selindex = event.currentTarget.selectedIndex;
    camera = cameras[selindex];
    control = controls[selindex];
    control.enabled = true; 
    for (var i=0; i<controls.length; i++) {
        if (i!=selindex) {
            controls[i].enabled = false;
        }
    }
    updateCamera();
}

var camtypenode = document.getElementById('cameraType_1');
camtypenode.onchange = changeCamera;
camtypenode.dispatchEvent(new Event('change'));

onWindowResize();
window.addEventListener('resize', onWindowResize);	


var xRotationEnabled = false;
var yRotationEnabled = false;
var zRotationEnabled = false;
var rotationSpeedFactor = 1;
var settingsShown = false;
var labelsShown = true;
var intervals = [];
var timeouts = [];
var explodingSpeed = 0.05;
var explodeScale = 0.000001;
var XMLS = new XMLSerializer();
var svgElement;
var renderId;

var render = function () {

	renderId = requestAnimationFrame(render);

//	comment in for automatic explosion
//	explode(updateFactor());

    var phi = 0.02 * rotationSpeedFactor;

    if (xRotationEnabled) {
        scene.rotation.x += phi;
    }
    if (yRotationEnabled) {
        scene.rotation.y += phi;
    }
    if (zRotationEnabled) {
        scene.rotation.z += phi;
    }

    control.update();
    renderer.render(scene, camera);
};

if ( THREE.WEBGL.isWebGLAvailable() ) {
	render();
} else {
	var warning = WEBGL.getWebGLErrorMessage();
	three.appendChild( warning );
}
    
function changeTransparency() {
    var opacity = 1-Number(event.currentTarget.value);
    for (var i=0; i<scene.children.length; i++) {
        child = scene.children[i];
        if ( child.userData.hasOwnProperty("facetmaterial") ) {
            if (Array.isArray(child.userData.facetmaterial)) {
                for (var j=0; j<child.userData.facetmaterial.length; j++) {
                    child.userData.facetmaterial[j].opacity = opacity;
                }
            } else {
                child.userData.facetmaterial.opacity = opacity;
            }    
        }
    }
}

function changeRotationX(event){
    xRotationEnabled = event.currentTarget.checked;
}	

function changeRotationY(event){
    yRotationEnabled = event.currentTarget.checked;
}	

function changeRotationZ(event){
    zRotationEnabled = event.currentTarget.checked;
}	


function changeRotationSpeedFactor(event){
    rotationSpeedFactor = Number(event.currentTarget.value);
}

function resetScene(){
    scene.rotation.set(0,0,0);
    camera.position.set(0,0,5);
    camera.up.set(0,1,0);
}

function showSettings(event){
    document.getElementById('settings_1').style.visibility = 'visible';
    document.getElementById('showSettingsButton_1').style.visibility = 'hidden';
    document.getElementById('hideSettingsButton_1').style.visibility = 'visible';
    settingsShown = true;
}

function hideSettings(event){
    document.getElementById('settings_1').style.visibility = 'hidden';
    document.getElementById('showSettingsButton_1').style.visibility = 'visible';
    document.getElementById('hideSettingsButton_1').style.visibility = 'hidden';
    settingsShown = false;
}



var pos = 150* Math.PI;

function updateFactor() {
    pos++;
    return Math.sin(.01*pos)+1;
}

// ------------------------ FOLDING ------------------------------------------------
// ---------------------------------------------------------------------------------
// rotate point p around axis defined by points p1 and p2 by given angle
function rotate(p, p1, p2, angle ){   
    angle = -angle;
    var x = p.x, y = p.y, z = p.z, 
    a = p1.x, b = p1.y, c = p1.z, 
    u = p2.x-p1.x, v = p2.y-p1.y, w = p2.z-p1.z;
    var result = [];
    var L = u*u + v*v + w*w;
    var sqrt = Math.sqrt;
    var cos = Math.cos;
    var sin = Math.sin;

    result[0] = ((a*(v*v+w*w)-u*(b*v+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*x*cos(angle)+sqrt(L)*(-c*v+b*w-w*y+v*z)*sin(angle))/L;
    result[1] = ((b*(u*u+w*w)-v*(a*u+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*y*cos(angle)+sqrt(L)*(c*u-a*w+w*x-u*z)*sin(angle))/L;
    result[2] = ((c*(u*u+v*v)-w*(a*u+b*v-u*x-v*y-w*z))*(1-cos(angle))+L*z*cos(angle)+sqrt(L)*(-b*u+a*v-v*x+u*y)*sin(angle))/L;

    return result;
}

var fold = function(event){
    var obj = foldables[Number(event.currentTarget.name)];
    var foldvalue = Number(event.currentTarget.value);
    var scale = foldvalue - obj.userData.oldscale;

    for (var j=0; j<obj.userData.axes.length; j++) {
        rotateVertices(obj, j, scale);
    }
    update(obj);
    obj.userData.oldscale += scale;
    lookAtBarycenter(obj);
}

function lookAtBarycenter(obj){
    control.target = barycenter(obj);
}

function barycenter(obj) {
    var center = new THREE.Vector3(0,0,0);
    var points = obj.userData.points;
    for (var i=0; i<points.length; i++){
        center.add(points[i].vector);
    }
    center.divideScalar(points.length);
    return center;
}

function rotateVertices(obj, edge, scale) {
    var axes = obj.userData.axes;
    var subtrees = obj.userData.subtrees;
    var points = obj.userData.points;
    var angles = obj.userData.angles;
    if (edge < axes.length){
        for (var j=0; j<subtrees[edge].length; j++){
            var rotP = rotate(points[subtrees[edge][j]].vector, points[axes[edge][0]].vector,points[axes[edge][1]].vector, scale * (Math.PI - angles[edge]));
            points[subtrees[edge][j]].set(rotP[0],rotP[1],rotP[2]);
        }
    }
}

function update(obj) {
   updateFacesPosition(obj);
   updateEdgesPosition(obj);
}

if (foldables.length) {
    var settings = document.getElementById('settings_1');
    var foldDiv = document.createElement('div');
    foldDiv.id = 'fold_1';
    var title = document.createElement('strong');
    title.innerHTML = 'Fold';
    foldDiv.appendChild(title);
    foldDiv.className = 'group';
    for (var i=0; i<foldables.length; i++) {
        var range = document.createElement('input');
        range.type = 'range';
        range.min = 0;
        range.max = 1;
        range.value = 0;
        range.step = 0.001;
        range.name = String(i);
        range.oninput = fold;
        foldDiv.appendChild(range);
    }
    lookAtBarycenter(foldables[0]);
    settings.insertBefore(foldDiv,settings.childNodes[0]);
}

    
// ---------------------- EXPLOSION ------------------------------------------------
// ---------------------------------------------------------------------------------

if (explodableModel) {
    for (var i=0; i<scene.children.length; i++) {
        obj = scene.children[i];
        if ( obj.userData.explodable ) {
            computeCentroid(obj);
        }
    }
    document.getElementById('explodeRange_1').oninput = triggerExplode;
    document.getElementById('explodeCheckbox_1').onchange = triggerAutomaticExplode;
    document.getElementById('explodingSpeedRange_1').oninput = setExplodingSpeed;
    explode(0.000001);
}

function computeCentroid(obj) {
    centroid = new THREE.Vector3();
    obj.userData.points.forEach(function(pmpoint) {
        centroid.add(pmpoint.vector);			
    });
    centroid.divideScalar(obj.userData.points.length);
    obj.userData.centroid = centroid;
}

function explode(factor) {
    for (var i=0; i<scene.children.length; i++) {
        var obj = scene.children[i];
        if (obj.userData.hasOwnProperty("centroid")) { 
            var c = obj.userData.centroid;
            obj.position.set(c.x*factor, c.y*factor, c.z*factor);
        }
    }	
}

function triggerExplode(event){
    explodeScale = Number(event.currentTarget.value);
    explode(explodeScale);
}

function setExplodingSpeed(event){
    explodingSpeed = Number(event.currentTarget.value);
}

function triggerAutomaticExplode(event){
    if (event.currentTarget.checked){
        startExploding();
    } else {
        clearIntervals();
    }	
}

function startExploding(){
    intervals.push(setInterval(explodingInterval, 25));
}


function explodingInterval(){
    explodeScale += explodingSpeed;
    if (explodeScale <= 6){ 
        explode(explodeScale);
    }
    else{
        explode(6);
        explodeScale = 6;
        clearIntervals();
        timeouts.push(setTimeout(startUnexploding, 3000));
    }
    document.getElementById('explodeRange_1').value = explodeScale;
}


function startUnexploding(){
    intervals.push(setInterval(unexplodingInterval, 25));
}

function unexplodingInterval(){
    explodeScale -= explodingSpeed;
    if (explodeScale >= 0){	
        explode(explodeScale);
    }
    else {
        explode(0);
        explodeScale = 0;
        clearIntervals();
        timeouts.push(setTimeout(startExploding, 3000));
    }
    document.getElementById('explodeRange_1').value = explodeScale;
}

function clearIntervals(){
    intervals.forEach(function(interval){
        clearInterval(interval);
    });
    intervals = [];
    timeouts.forEach(function(timeout){
        clearTimeout(timeout);
    });
    timeouts = [];
}

// ---------------------- DISPLAY --------------------------------------------------
// ---------------------------------------------------------------------------------

const objectTypeInnerHTMLs = { points: "Points", pointlabels: "Point labels", lines: "Edges", edgelabels: "Edge labels", faces: "Faces", arrowheads: "Arrow heads" };
const objectTypeVisible = {};
Object.assign(objectTypeVisible,modelContains);
const sortedObjectTypeKeys = Object.keys(objectTypeInnerHTMLs).sort();
const shownObjectTypesList = document.getElementById('shownObjectTypesList_1');

function setVisibility(bool,objname) {
    for (var i=0; i<scene.children.length; i++){
        var obj = scene.children[i].getObjectByName(objname);
        if (obj) {
            obj.visible = bool;
        }
    }
}

function toggleObjectTypeVisibility(event){
    var name = event.currentTarget.name;
    var checked = event.currentTarget.checked;
    objectTypeVisible[name] = checked;
    if (name == "faces") {
        setVisibility(checked,"frontfaces");
        setVisibility(checked,"backfaces");
    } else {
        setVisibility(checked,name);
    }
}

for (var i=0; i<sortedObjectTypeKeys.length; i++){
    var key = sortedObjectTypeKeys[i];
    if (modelContains[key]) {
        var objTypeNode = document.createElement('span');
        objTypeNode.innerHTML = objectTypeInnerHTMLs[key] + '<br>';
        var checkbox = document.createElement('input');
        checkbox.type = 'checkbox';
        checkbox.checked = true;
        checkbox.name = key;
        checkbox.onchange = toggleObjectTypeVisibility;
        shownObjectTypesList.appendChild(checkbox);
        shownObjectTypesList.appendChild(objTypeNode);
    }
}

// ------------------------------------------------------

function toggleObjectVisibility(event){
    var nr = Number(event.currentTarget.name);
    scene.children[nr].visible = event.currentTarget.checked;
}

// append checkboxes for displaying or hiding objects
var shownObjectsList = document.getElementById('shownObjectsList_1');
for (var i=0; i<scene.children.length; i++){
    obj = scene.children[i];
    var objNode = document.createElement('span');
    objNode.innerHTML = obj.name + '<br>';
    var checkbox = document.createElement('input');
    checkbox.type = 'checkbox';
    checkbox.checked = true;
    checkbox.name = String(i);
    checkbox.onchange = toggleObjectVisibility;
    shownObjectsList.appendChild(checkbox);
    shownObjectsList.appendChild(objNode);
}

// ---------------------- SVG ------------------------------------------------------
// ---------------------------------------------------------------------------------

function takeSvgScreenshot() {
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(false,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(false,"edgelabels");
    }
    svgRenderer.render(scene,camera);
    svgElement = XMLS.serializeToString(svgRenderer.domElement);
    
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(true,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(true,"edgelabels");
    }

    if (document.getElementById('tab_1').checked){
        //show in new tab
        var myWindow = window.open("","");
        myWindow.document.body.innerHTML = svgElement;
    } else{
        // download svg file 
        download("screenshot.svg", svgElement);
    }
}

function download(filename, text) {
    var element = document.createElement('a');
    element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
    element.setAttribute('download', filename);

    element.style.display = 'none';
    document.body.appendChild(element);

    element.click();

    document.body.removeChild(element);
}


document.getElementById('transparencyRange_1').oninput = changeTransparency;
document.getElementById('changeRotationX_1').onchange = changeRotationX;
document.getElementById('changeRotationY_1').onchange = changeRotationY;
document.getElementById('changeRotationZ_1').onchange = changeRotationZ;
document.getElementById('resetButton_1').onclick = resetScene;
document.getElementById('rotationSpeedRange_1').oninput = changeRotationSpeedFactor;
document.getElementById('takeScreenshot_1').onclick = takeSvgScreenshot;
document.getElementById('showSettingsButton_1').onclick = showSettings;
document.getElementById('hideSettingsButton_1').onclick = hideSettings;


// ------------------ SHORTCUTS --------------------------------------------
// -------------------------------------------------------------------------

/**
 * http://www.openjs.com/scripts/events/keyboard_shortcuts/
 * Version : 2.01.B
 * By Binny V A
 * License : BSD
 */
shortcut = {
	'all_shortcuts':{},//All the shortcuts are stored in this array
	'add': function(shortcut_combination,callback,opt) {
		//Provide a set of default options
		var default_options = {
			'type':'keydown',
			'propagate':false,
			'disable_in_input':false,
			'target':document,
			'keycode':false
		}
		if(!opt) opt = default_options;
		else {
			for(var dfo in default_options) {
				if(typeof opt[dfo] == 'undefined') opt[dfo] = default_options[dfo];
			}
		}

		var ele = opt.target;
		if(typeof opt.target == 'string') ele = document.getElementById(opt.target);
		var ths = this;
		shortcut_combination = shortcut_combination.toLowerCase();

		//The function to be called at keypress
		var func = function(e) {
			e = e || window.event;
			
			if(opt['disable_in_input']) { //Don't enable shortcut keys in Input, Textarea fields
				var element;
				if(e.target) element=e.target;
				else if(e.srcElement) element=e.srcElement;
				if(element.nodeType==3) element=element.parentNode;

				if(element.tagName == 'INPUT' || element.tagName == 'TEXTAREA') return;
			}
	
			//Find Which key is pressed
			if (e.keyCode) code = e.keyCode;
			else if (e.which) code = e.which;
			var character = String.fromCharCode(code).toLowerCase();
			
			if(code == 188) character=","; //If the user presses , when the type is onkeydown
			if(code == 190) character="."; //If the user presses , when the type is onkeydown

			var keys = shortcut_combination.split("+");
			//Key Pressed - counts the number of valid keypresses - if it is same as the number of keys, the shortcut function is invoked
			var kp = 0;
			
			//Work around for stupid Shift key bug created by using lowercase - as a result the shift+num combination was broken
			var shift_nums = {
				"`":"~",
				"1":"!",
				"2":"@",
				"3":"#",
				"4":"$",
				"5":"%",
				"6":"^",
				"7":"&",
				"8":"*",
				"9":"(",
				"0":")",
				"-":"_",
				"=":"+",
				";":":",
				"'":"\"",
				",":"<",
				".":">",
				"/":"?",
				"\\":"|"
			}
			//Special Keys - and their codes
			var special_keys = {
				'esc':27,
				'escape':27,
				'tab':9,
				'space':32,
				'return':13,
				'enter':13,
				'backspace':8,
	
				'scrolllock':145,
				'scroll_lock':145,
				'scroll':145,
				'capslock':20,
				'caps_lock':20,
				'caps':20,
				'numlock':144,
				'num_lock':144,
				'num':144,
				
				'pause':19,
				'break':19,
				
				'insert':45,
				'home':36,
				'delete':46,
				'end':35,
				
				'pageup':33,
				'page_up':33,
				'pu':33,
	
				'pagedown':34,
				'page_down':34,
				'pd':34,
	
				'left':37,
				'up':38,
				'right':39,
				'down':40,
	
				'f1':112,
				'f2':113,
				'f3':114,
				'f4':115,
				'f5':116,
				'f6':117,
				'f7':118,
				'f8':119,
				'f9':120,
				'f10':121,
				'f11':122,
				'f12':123
			}
	
			var modifiers = { 
				shift: { wanted:false, pressed:false},
				ctrl : { wanted:false, pressed:false},
				alt  : { wanted:false, pressed:false},
				meta : { wanted:false, pressed:false}	//Meta is Mac specific
			};
                        
			if(e.ctrlKey)	modifiers.ctrl.pressed = true;
			if(e.shiftKey)	modifiers.shift.pressed = true;
			if(e.altKey)	modifiers.alt.pressed = true;
			if(e.metaKey)   modifiers.meta.pressed = true;
                        
			for(var i=0; k=keys[i],i<keys.length; i++) {
				//Modifiers
				if(k == 'ctrl' || k == 'control') {
					kp++;
					modifiers.ctrl.wanted = true;

				} else if(k == 'shift') {
					kp++;
					modifiers.shift.wanted = true;

				} else if(k == 'alt') {
					kp++;
					modifiers.alt.wanted = true;
				} else if(k == 'meta') {
					kp++;
					modifiers.meta.wanted = true;
				} else if(k.length > 1) { //If it is a special key
					if(special_keys[k] == code) kp++;
					
				} else if(opt['keycode']) {
					if(opt['keycode'] == code) kp++;

				} else { //The special keys did not match
					if(character == k) kp++;
					else {
						if(shift_nums[character] && e.shiftKey) { //Stupid Shift key bug created by using lowercase
							character = shift_nums[character]; 
							if(character == k) kp++;
						}
					}
				}
			}
			
			if(kp == keys.length && 
						modifiers.ctrl.pressed == modifiers.ctrl.wanted &&
						modifiers.shift.pressed == modifiers.shift.wanted &&
						modifiers.alt.pressed == modifiers.alt.wanted &&
						modifiers.meta.pressed == modifiers.meta.wanted) {
				callback(e);
	
				if(!opt['propagate']) { //Stop the event
					//e.cancelBubble is supported by IE - this will kill the bubbling process.
					e.cancelBubble = true;
					e.returnValue = false;
	
					//e.stopPropagation works in Firefox.
					if (e.stopPropagation) {
						e.stopPropagation();
						e.preventDefault();
					}
					return false;
				}
			}
		}
		this.all_shortcuts[shortcut_combination] = {
			'callback':func, 
			'target':ele, 
			'event': opt['type']
		};
		//Attach the function with the event
		if(ele.addEventListener) ele.addEventListener(opt['type'], func, false);
		else if(ele.attachEvent) ele.attachEvent('on'+opt['type'], func);
		else ele['on'+opt['type']] = func;
	},

	//Remove the shortcut - just specify the shortcut and I will remove the binding
	'remove':function(shortcut_combination) {
		shortcut_combination = shortcut_combination.toLowerCase();
		var binding = this.all_shortcuts[shortcut_combination];
		delete(this.all_shortcuts[shortcut_combination])
		if(!binding) return;
		var type = binding['event'];
		var ele = binding['target'];
		var callback = binding['callback'];

		if(ele.detachEvent) ele.detachEvent('on'+type, callback);
		else if(ele.removeEventListener) ele.removeEventListener(type, callback, false);
		else ele['on'+type] = false;
	}
}

shortcut.add("Alt+Left",function() {
	var event = new Event('click');
	if (settingsShown){
		document.getElementById('hideSettingsButton_1').dispatchEvent(event);
	} else {
		document.getElementById('showSettingsButton_1').dispatchEvent(event);
	}
});


// COMMON_CODE_BLOCK_END

});});
      </script>
   </body>
</html>
</HTML>
The command ''%%generateSCADFileForSurface%%'' exports the tropical surface to ''%%OpenSCAD%%''. It requires a bounded polyhedral complex and a filename. If the file already exists, it will be overwritten:

<code perl>
> $filename = "foo.scad";
> generateSCADFileForSurface($tropicalSurfaceBounded,$filename);
</code>
==== I.3 Solidifying a polyhedral complex in OpenSCAD and exporting it for 3D-printing ====

To solidify the surface into a three-dimensional model, open the exported file in ''%%OpenSCAD%%''. Below is a preview of a solidified tropical quadratic surface. {{:tutorials:release:4.12:hands_on_tropical_geometry:OpenSCADSurface.png|OpenSCADSurface.png}}

The top of the ''%%OpenSCAD%%'' file contains parameters which control the thickness of the model amongst other things:

<code java>
colorSurface = "SlateGray"; // color of surface
scalingFactor = 1; // global scaling factor
thicknessSurface = 0.05; // thickness of surface
</code>
  - ''%%colorSurface%%'' is the color of the surface in the render. It can be specified either by an HTML color name or by RGB value.
  - ''%%scalingFactor%%'' is a factor by which the polyhedral complex is scaled. It can be used to scale the model to a desired size.
  - ''%%thicknessSurface%%'' controls the thickness of the surface. ''%%OpenSCAD%%'' solidifies the surface by replacing every vertex with a ball with specified thickness and taking convex hulls.

> Important: In order to 3D-print the tropical surface, every face needs to have a minimal thickness. As a rule of thumb for printing with PLA, we recommend a minimal thickness of 2mm for a print of size 10cm<sup>3</sup>.

===== II. Modelling Tropical Curves =====

==== II.1 Constructing a tropical curve in polymake ====

An easy way to construct a tropical curve in $\mathbb{R}^3$ of type ''%%fan::PolyhedralComplex%%'' in ''%%polymake%%'' is by intersecting two tropical surfaces. Note however that not all tropical curves can be constructed this way.

Below is an example of how to define a tropical sextic curve as an intersection of a tropical quadratic and a cubic surface.

<code perl>
> # constructing tropical quadric surface
> $mQuadric = [[2,0,0,0], [1,1,0,0], [1,0,1,0], [1,0,0,1],
>                [0,1,1,0], [0,1,0,1], [0,0,1,1], [0,2,0,0],
>                [0,0,2,0], [0,0,0,2]];
> $cQuadric = [1,-1/4,-2/4,-3/4,-3/4,-4/4,-5/4,2/4,0,-2/4];
> $TQuadric = new tropical::Hypersurface<Min>(MONOMIALS=>$mQuadric,
>                                             COEFFICIENTS=>$cQuadric);
> 
> # constructing tropical cubic surface
> $mCubic = [[3,0,0,0], [0,3,0,0], [0,0,3,0], [0,0,0,3],
>            [1,1,1,0], [1,1,0,1], [1,0,1,1], [0,1,1,1],
>            [2,1,0,0], [2,0,1,0], [2,0,0,1], [1,2,0,0],
>            [1,0,2,0], [1,0,0,2], [0,2,1,0], [0,2,0,1],
>            [0,1,2,0], [0,1,0,2], [0,0,2,1], [0,0,1,2]];
> $cCubic = [3,3,3,3,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1];
> $TCubic = new tropical::Hypersurface<Min>(MONOMIALS=>$mCubic,
>                                           COEFFICIENTS=>$cCubic);
> 
> # constructing a tropical sextic curve as the stable intersection
> #   of a quadratic and a cubic surface
> $tropicalCurveTmp = tropical::intersect($TQuadric,$TCubic);
</code>
> Important: ''%%intersect%%'' is the intersection of tropical cycles, i.e., it tcomputes the so-called stable intersection, not the set-theoretic intersection.

As before, we convert the tropical curve to type ''%%fan::PolyhedralComplex%%'':

<code perl>
> $tropicalCurve = new fan::PolyhedralComplex(
>                    VERTICES=>$tropicalCurveTmp->VERTICES->minor(All,~[1]),
>                    MAXIMAL_POLYTOPES=>$tropicalCurveTmp->MAXIMAL_POLYTOPES,
>                    INPUT_LINEALITY=>$tropicalCurveTmp->LINEALITY_SPACE->minor(All,~[1]));
> $tropicalCurve->VISUAL;
</code>
<HTML>
<!--
polymake for ren
Fri Feb 25 14:53:05 2022
pcom:tropicalCurve
-->


<html>
   <head>
      <meta charset=utf-8>
      <title>pcom:tropicalCurve</title>
      <style>
/*
// COMMON_CODE_BLOCK_BEGIN
*/
         html {overflow: scroll;}
         strong{font-size: 18px;}
         canvas { z-index: 8; }
         input[type='radio'] {margin-left:0;}
         input[type='checkbox'] {margin-right:7px; margin-left: 0px; padding-left:0px;}
         .group{padding-bottom: 15px;}
         .settings * {z-index: 11; }
         .settings{z-index: 10; font-family: Arial, Helvetica, sans-serif; margin-left: 30px; visibility: hidden; width: 14em; height: 96%; border: solid 1px silver; padding: 2px; overflow-y: scroll; box-sizing: border-box; background-color: white; position: absolute;}
         .indented{margin-left: 20px; margin-top: 10px; padding-bottom: 0px;} 
         .shownObjectsList{overflow: auto; max-width: 150px; max-height: 150px;}
         .showSettingsButton{visibility: visible; z-index: 12; position: absolute }
         .hideSettingsButton{visibility: hidden; z-index: 12; position: absolute; opacity: 0.5}
         button{margin-left: 0; margin-top: 10px}
         img{cursor: pointer;}
         .suboption{padding-top: 15px;}
         #model48716608467 { width: 100%; height: 100%; }
         .threejs_container { width: 100%; height: 75vh;}
         .settings{max-height: 74vh} 
         input[type=range] {
           -webkit-appearance: none;
           padding:0; 
           width:90%; 
           margin-left: auto;
           margin-right: auto;
           margin-top: 15px;
           margin-bottom: 15px;
           display: block;	
         }
         input[type=range]:focus {
           outline: none;
         }
         input[type=range]::-webkit-slider-runnable-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-webkit-slider-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
           -webkit-appearance: none;
           margin-top: -5px;
         }
         input[type=range]:focus::-webkit-slider-runnable-track {
           background: #E3E3E3;
         }
         input[type=range]::-moz-range-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-moz-range-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]::-ms-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           background: transparent;
           border-color: transparent;
           color: transparent;
         }
         input[type=range]::-ms-fill-lower {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-fill-upper {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]:focus::-ms-fill-lower {
           background: #E3E3E3;
         }
         input[type=range]:focus::-ms-fill-upper {
           background: #E3E3E3;
         }
/*
// COMMON_CODE_BLOCK_END
*/
		</style>
   </head>
<body>
   <div class='threejs_container'>
		<div id='settings_2' class='settings'>
			<div class=group id='explode_2'>
				<strong>Explode</strong>
				<input id='explodeRange_2' type='range' min='0.00001' max=6 step=0.01 value=0.00001>
				<div class=indented><input id='explodeCheckbox_2' type='checkbox'>Automatic explosion</div>
				<div class=suboption>Exploding speed</div>
				<input id='explodingSpeedRange_2' type='range' min=0 max=0.5 step=0.001 value=0.05>
			</div>
	
			<div class=group id='transparency_2' class='transparency'>
				<strong>Transparency</strong>
				<input id='transparencyRange_2' type='range' min=0 max=1 step=0.01 value=0>
			</div>
			
			<div class=group id='rotation_2'>
				<strong>Rotation</strong>
				<div class=indented>
					<div><input type='checkbox' id='changeRotationX_2'> x-axis</div>
					<div><input type='checkbox' id='changeRotationY_2'> y-axis</div>
					<div><input type='checkbox' id='changeRotationZ_2'> z-axis</div>
					<button id='resetButton_2'>Reset</button>
				</div>

				<div class=suboption>Rotation speed</div>
				<input id='rotationSpeedRange_2' type='range' min=0 max=5 step=0.01 value=2>
			</div>


			<div class=group id='display_2'>
				<strong>Display</strong>
				<div class=indented>
					<div id='shownObjectTypesList_2' class='shownObjectsList'></div>
				</div>
				<div class=suboption>Objects</div>
				<div class=indented>
				   <div id='shownObjectsList_2' class='shownObjectsList'></div>
				</div>
			</div>
         
         <div class=group id='camera_2'>
            <strong>Camera</strong>
            <div class=indented>
               <form>
                  <select id="cameraType_2">
                     <option value='perspective' selected> Perspective<br></option>
                     <option value='orthographic' > Orthographic<br></option>
                  </select>
               </form>
            </div>
         </div>

			<div class=group id='svg_2'>
				<strong>SVG</strong>
				<div class=indented>
					<form>
						<input type="radio" name='screenshotMode' value='download' id='download_2' checked> Download<br>
						<input type="radio" name='screenshotMode' value='tab' id='tab_2' > New tab<br>
					</form>
					<button id='takeScreenshot_2'>Screenshot</button>
				</div>
			</div>

		</div>	<!-- end of settings -->
		<img id='hideSettingsButton_2' class='hideSettingsButton' src='/kernelspecs/r118/polymake/close.svg' width=20px">
		<img id='showSettingsButton_2' class='showSettingsButton' src='/kernelspecs/r118/polymake/menu.svg' width=20px">
<div id="model48716608467"></div>
</div>
   <script>
    requirejs.config({
      paths: {
        three: '/kernelspecs/r118/polymake/three',
        TrackballControls: '/kernelspecs/r118/polymake/TrackballControls',
        OrbitControls: '/kernelspecs/r118/polymake/OrbitControls',
        Projector: '/kernelspecs/r118/polymake/Projector',
        SVGRenderer: '/kernelspecs/r118/polymake/SVGRenderer',
        WEBGL: '/kernelspecs/r118/polymake/WebGL',
      },
      shim: {
        'three': { exports: 'THREE'},
        'SVGRenderer': { deps: [ 'three' ], exports: 'THREE.SVGRenderer' },
        'WEBGL': { deps: [ 'three' ], exports: 'THREE.WEBGL' },
        'Projector': { deps: [ 'three' ], exports: 'THREE.Projector' },
        'TrackballControls': { deps: [ 'three' ], exports: 'THREE.TrackballControls' },
        'OrbitControls': { deps: [ 'three' ], exports: 'THREE.OrbitControls' },
      }
    });
    
    require(['three'],function(THREE){
        window.THREE = THREE;
      require(['TrackballControls', 'OrbitControls', 'Projector', 'SVGRenderer', 'WEBGL'],
               function(TrackballControls, OrbitControls, Projector, SVGRenderer, WEBGL) {
    THREE.TrackballControls = TrackballControls;
    THREE.OrbitControls = OrbitControls;
    THREE.Projector = Projector;
    THREE.SVGRenderer = SVGRenderer;
    THREE.WEBGL = WEBGL;

// COMMON_CODE_BLOCK_BEGIN

const intervalLength = 25; // for automatic animations
const explodableModel = true; 
const modelContains = { points: false, pointlabels: false, lines: false, edgelabels: false, faces: false, arrowheads: false };
const foldables = [];

var three = document.getElementById("model48716608467");
var scene = new THREE.Scene();
var renderer = new THREE.WebGLRenderer( { antialias: true } );
var svgRenderer = new THREE.SVGRenderer( { antialias: true } );
renderer.setPixelRatio( window.devicePixelRatio );
renderer.setClearColor(0xFFFFFF, 1);
svgRenderer.setClearColor(0xFFFFFF, 1);
three.appendChild(renderer.domElement);

var frustumSize = 4;
var cameras = [new THREE.PerspectiveCamera(75, 1, 0.1, 1000), new THREE.OrthographicCamera()];
cameras.forEach(function(cam) {
    cam.position.set(0, 0, 5);
    cam.lookAt(0, 0, 0);  
    cam.up.set(0, 1, 0);         
});
var controls = [new THREE.TrackballControls(cameras[0], three), new THREE.OrbitControls(cameras[1], three)];
var camera, control;

controls[0].zoomSpeed = 0.2;
controls[0].rotateSpeed = 4;


// class to allow move points together with labels and spheres
var PMPoint = function (x,y,z) {
   this.vector = new THREE.Vector3(x,y,z);
   this.sprite = null;
   this.sphere = null;
}
PMPoint.prototype.addLabel = function(labelsprite) {
   this.sprite = labelsprite;
   this.sprite.position.copy(this.vector);
}
PMPoint.prototype.addSphere = function(spheremesh) {
   this.sphere = spheremesh;
   this.sphere.position.copy(this.vector);
}
PMPoint.prototype.set = function(x,y,z) {
   this.vector.set(x,y,z);
   if (this.sprite) {
      this.sprite.position.copy(this.vector);
   }
   if (this.sphere) {
      this.sphere.position.copy(this.vector);
   }
}
PMPoint.prototype.radius = function() {
   if (this.sphere) {
      return this.sphere.geometry.parameters.radius;
   } else {
      return 0;
   }
};
// select the target node
var target = document.querySelector('#model48716608467');

// create an observer instance
var observer = new MutationObserver(function(mutations) {
   mutations.forEach(function(mutation) {
      if (mutation.removedNodes && mutation.removedNodes.length > 0) {
         cancelAnimationFrame(renderId);
         observer.disconnect();
         console.log("cancelled frame "+renderId);
      }
   });
});

// configuration of the observer:
var config = { childList: true, characterData: true }

// pass in the target node, as well as the observer options
while (target) {
   if (target.className=="output") {
      observer.observe(target, config);
      break;
   }
   target = target.parentNode;
}

// COMMON_CODE_BLOCK_END

var obj0 = new THREE.Object3D();
obj0.name = "_bounded";
obj0.userData.explodable = 1;
obj0.userData.points = [];
obj0.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj0.userData.points.push(new PMPoint(1.5, 1.5, 5.05));

obj0.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj0.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj0.userData.pointlabels = ["0", " "];
obj0.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj0.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj0);
scene.add(obj0);

var obj1 = new THREE.Object3D();
obj1.name = "_bounded";
obj1.userData.explodable = 1;
obj1.userData.points = [];
obj1.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj1.userData.points.push(new PMPoint(0.75, 1, 5.05));

obj1.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj1.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj1.userData.pointlabels = ["2", " "];
obj1.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj1.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj1);
scene.add(obj1);

var obj2 = new THREE.Object3D();
obj2.name = "unnamed__1";
obj2.userData.explodable = 1;
obj2.userData.points = [];
obj2.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj2.userData.points.push(new PMPoint(1.75, 1.75, 1.75));

obj2.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj2.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj2.userData.pointlabels = ["0", "3"];
obj2.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj2.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj2);
scene.add(obj2);

var obj3 = new THREE.Object3D();
obj3.name = "_bounded";
obj3.userData.explodable = 1;
obj3.userData.points = [];
obj3.userData.points.push(new PMPoint(1.75, 1.75, 1.75));
obj3.userData.points.push(new PMPoint(1.75, 5.35, 1.75));

obj3.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj3.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj3.userData.pointlabels = ["3", " "];
obj3.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj3.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj3);
scene.add(obj3);

var obj4 = new THREE.Object3D();
obj4.name = "_bounded";
obj4.userData.explodable = 1;
obj4.userData.points = [];
obj4.userData.points.push(new PMPoint(1.75, 1.75, 1.75));
obj4.userData.points.push(new PMPoint(5.65, 1.75, 1.75));

obj4.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj4.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj4.userData.pointlabels = ["3", " "];
obj4.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj4.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj4);
scene.add(obj4);

var obj5 = new THREE.Object3D();
obj5.name = "unnamed__2";
obj5.userData.explodable = 1;
obj5.userData.points = [];
obj5.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj5.userData.points.push(new PMPoint(0.5, 1, 1));

obj5.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj5.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj5.userData.pointlabels = ["6", "7"];
obj5.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj5.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj5);
scene.add(obj5);

var obj6 = new THREE.Object3D();
obj6.name = "unnamed__3";
obj6.userData.explodable = 1;
obj6.userData.points = [];
obj6.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj6.userData.points.push(new PMPoint(0.5, 1, 1));

obj6.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj6.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj6.userData.pointlabels = ["2", "7"];
obj6.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj6.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj6);
scene.add(obj6);

var obj7 = new THREE.Object3D();
obj7.name = "_bounded";
obj7.userData.explodable = 1;
obj7.userData.points = [];
obj7.userData.points.push(new PMPoint(0.5, 1, 1));
obj7.userData.points.push(new PMPoint(0.5, 5.35, 1));

obj7.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj7.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj7.userData.pointlabels = ["7", " "];
obj7.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj7.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj7);
scene.add(obj7);

var obj8 = new THREE.Object3D();
obj8.name = "unnamed__4";
obj8.userData.explodable = 1;
obj8.userData.points = [];
obj8.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj8.userData.points.push(new PMPoint(1, 0.75, 1));

obj8.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj8.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj8.userData.pointlabels = ["8", "9"];
obj8.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj8.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj8);
scene.add(obj8);

var obj9 = new THREE.Object3D();
obj9.name = "unnamed__5";
obj9.userData.explodable = 1;
obj9.userData.points = [];
obj9.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj9.userData.points.push(new PMPoint(1, 1, 1.25));

obj9.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj9.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj9.userData.pointlabels = ["2", "10"];
obj9.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj9.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj9);
scene.add(obj9);

var obj10 = new THREE.Object3D();
obj10.name = "unnamed__6";
obj10.userData.explodable = 1;
obj10.userData.points = [];
obj10.userData.points.push(new PMPoint(1, 0.75, 1));
obj10.userData.points.push(new PMPoint(1, 1, 1.25));

obj10.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj10.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj10.userData.pointlabels = ["9", "10"];
obj10.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj10.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj10);
scene.add(obj10);

var obj11 = new THREE.Object3D();
obj11.name = "_bounded";
obj11.userData.explodable = 1;
obj11.userData.points = [];
obj11.userData.points.push(new PMPoint(1, 0.75, 1));
obj11.userData.points.push(new PMPoint(5.65, 0.75, 1));

obj11.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj11.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj11.userData.pointlabels = ["9", " "];
obj11.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj11.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj11);
scene.add(obj11);

var obj12 = new THREE.Object3D();
obj12.name = "unnamed__7";
obj12.userData.explodable = 1;
obj12.userData.points = [];
obj12.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj12.userData.points.push(new PMPoint(1, 1, 1.25));

obj12.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj12.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj12.userData.pointlabels = ["0", "10"];
obj12.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj12.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj12);
scene.add(obj12);

var obj13 = new THREE.Object3D();
obj13.name = "_bounded";
obj13.userData.explodable = 1;
obj13.userData.points = [];
obj13.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj13.userData.points.push(new PMPoint(-0.5, 0.5, 5.05));

obj13.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj13.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj13.userData.pointlabels = ["11", " "];
obj13.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj13.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj13);
scene.add(obj13);

var obj14 = new THREE.Object3D();
obj14.name = "unnamed__8";
obj14.userData.explodable = 1;
obj14.userData.points = [];
obj14.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj14.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));

obj14.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj14.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj14.userData.pointlabels = ["6", "12"];
obj14.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj14.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj14);
scene.add(obj14);

var obj15 = new THREE.Object3D();
obj15.name = "unnamed__9";
obj15.userData.explodable = 1;
obj15.userData.points = [];
obj15.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj15.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));

obj15.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj15.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj15.userData.pointlabels = ["11", "12"];
obj15.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj15.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj15);
scene.add(obj15);

var obj16 = new THREE.Object3D();
obj16.name = "_bounded";
obj16.userData.explodable = 1;
obj16.userData.points = [];
obj16.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));
obj16.userData.points.push(new PMPoint(-0.25, 5.35, 0.75));

obj16.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj16.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj16.userData.pointlabels = ["12", " "];
obj16.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj16.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj16);
scene.add(obj16);

var obj17 = new THREE.Object3D();
obj17.name = "unnamed__10";
obj17.userData.explodable = 1;
obj17.userData.points = [];
obj17.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj17.userData.points.push(new PMPoint(0.25, 0.5, 0.5));

obj17.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj17.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj17.userData.pointlabels = ["6", "13"];
obj17.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj17.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj17);
scene.add(obj17);

var obj18 = new THREE.Object3D();
obj18.name = "unnamed__11";
obj18.userData.explodable = 1;
obj18.userData.points = [];
obj18.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj18.userData.points.push(new PMPoint(-1, -0.25, 0));

obj18.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj18.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj18.userData.pointlabels = ["14", "15"];
obj18.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj18.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj18);
scene.add(obj18);

var obj19 = new THREE.Object3D();
obj19.name = "unnamed__12";
obj19.userData.explodable = 1;
obj19.userData.points = [];
obj19.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj19.userData.points.push(new PMPoint(-1, 0, 0.25));

obj19.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj19.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj19.userData.pointlabels = ["11", "16"];
obj19.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj19.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj19);
scene.add(obj19);

var obj20 = new THREE.Object3D();
obj20.name = "unnamed__13";
obj20.userData.explodable = 1;
obj20.userData.points = [];
obj20.userData.points.push(new PMPoint(-1, -0.25, 0));
obj20.userData.points.push(new PMPoint(-1, 0, 0.25));

obj20.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj20.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj20.userData.pointlabels = ["15", "16"];
obj20.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj20.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj20);
scene.add(obj20);

var obj21 = new THREE.Object3D();
obj21.name = "_bounded";
obj21.userData.explodable = 1;
obj21.userData.points = [];
obj21.userData.points.push(new PMPoint(-1, -0.25, 0));
obj21.userData.points.push(new PMPoint(-5.3, -4.55, -4.3));

obj21.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj21.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj21.userData.pointlabels = ["15", " "];
obj21.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj21.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj21);
scene.add(obj21);

var obj22 = new THREE.Object3D();
obj22.name = "unnamed__14";
obj22.userData.explodable = 1;
obj22.userData.points = [];
obj22.userData.points.push(new PMPoint(-1, 0, 0.25));
obj22.userData.points.push(new PMPoint(-1.25, 0, 0.25));

obj22.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj22.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj22.userData.pointlabels = ["16", "18"];
obj22.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj22.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj22);
scene.add(obj22);

var obj23 = new THREE.Object3D();
obj23.name = "unnamed__15";
obj23.userData.explodable = 1;
obj23.userData.points = [];
obj23.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj23.userData.points.push(new PMPoint(0.75, -0.25, 0.75));

obj23.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj23.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj23.userData.pointlabels = ["8", "19"];
obj23.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj23.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj23);
scene.add(obj23);

var obj24 = new THREE.Object3D();
obj24.name = "unnamed__16";
obj24.userData.explodable = 1;
obj24.userData.points = [];
obj24.userData.points.push(new PMPoint(0.75, -0.25, 0.75));
obj24.userData.points.push(new PMPoint(0.5, -0.5, 0.75));

obj24.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj24.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj24.userData.pointlabels = ["19", "20"];
obj24.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj24.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj24);
scene.add(obj24);

var obj25 = new THREE.Object3D();
obj25.name = "_bounded";
obj25.userData.explodable = 1;
obj25.userData.points = [];
obj25.userData.points.push(new PMPoint(0.75, -0.25, 0.75));
obj25.userData.points.push(new PMPoint(5.65, -0.25, 0.75));

obj25.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj25.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj25.userData.pointlabels = ["19", " "];
obj25.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj25.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj25);
scene.add(obj25);

var obj26 = new THREE.Object3D();
obj26.name = "unnamed__17";
obj26.userData.explodable = 1;
obj26.userData.points = [];
obj26.userData.points.push(new PMPoint(0.25, 0.5, 0.5));
obj26.userData.points.push(new PMPoint(0.5, 0.5, 0.5));

obj26.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj26.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj26.userData.pointlabels = ["13", "21"];
obj26.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj26.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj26);
scene.add(obj26);

var obj27 = new THREE.Object3D();
obj27.name = "unnamed__18";
obj27.userData.explodable = 1;
obj27.userData.points = [];
obj27.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj27.userData.points.push(new PMPoint(0.5, 0.5, 0.5));

obj27.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj27.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj27.userData.pointlabels = ["8", "21"];
obj27.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj27.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj27);
scene.add(obj27);

var obj28 = new THREE.Object3D();
obj28.name = "unnamed__19";
obj28.userData.explodable = 1;
obj28.userData.points = [];
obj28.userData.points.push(new PMPoint(0.5, 0.5, 0.5));
obj28.userData.points.push(new PMPoint(0.5, 0.5, -0.25));

obj28.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj28.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj28.userData.pointlabels = ["21", "22"];
obj28.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj28.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj28);
scene.add(obj28);

var obj29 = new THREE.Object3D();
obj29.name = "unnamed__20";
obj29.userData.explodable = 1;
obj29.userData.points = [];
obj29.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj29.userData.points.push(new PMPoint(-0.5, -1, 0));

obj29.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj29.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj29.userData.pointlabels = ["14", "23"];
obj29.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj29.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj29);
scene.add(obj29);

var obj30 = new THREE.Object3D();
obj30.name = "unnamed__21";
obj30.userData.explodable = 1;
obj30.userData.points = [];
obj30.userData.points.push(new PMPoint(-0.5, -1, 0));
obj30.userData.points.push(new PMPoint(-0.25, -1, 0.25));

obj30.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj30.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj30.userData.pointlabels = ["23", "24"];
obj30.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj30.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj30);
scene.add(obj30);

var obj31 = new THREE.Object3D();
obj31.name = "_bounded";
obj31.userData.explodable = 1;
obj31.userData.points = [];
obj31.userData.points.push(new PMPoint(-0.5, -1, 0));
obj31.userData.points.push(new PMPoint(-4.35, -4.85, -3.85));

obj31.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj31.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj31.userData.pointlabels = ["23", " "];
obj31.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj31.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj31);
scene.add(obj31);

var obj32 = new THREE.Object3D();
obj32.name = "unnamed__22";
obj32.userData.explodable = 1;
obj32.userData.points = [];
obj32.userData.points.push(new PMPoint(0.25, 0.5, 0.5));
obj32.userData.points.push(new PMPoint(-0.25, 0, 0));

obj32.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj32.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj32.userData.pointlabels = ["13", "25"];
obj32.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj32.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj32);
scene.add(obj32);

var obj33 = new THREE.Object3D();
obj33.name = "unnamed__23";
obj33.userData.explodable = 1;
obj33.userData.points = [];
obj33.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj33.userData.points.push(new PMPoint(-0.25, 0, 0));

obj33.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj33.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj33.userData.pointlabels = ["14", "25"];
obj33.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj33.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj33);
scene.add(obj33);

var obj34 = new THREE.Object3D();
obj34.name = "unnamed__24";
obj34.userData.explodable = 1;
obj34.userData.points = [];
obj34.userData.points.push(new PMPoint(-0.25, 0, 0));
obj34.userData.points.push(new PMPoint(-0.25, 0, -0.75));

obj34.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj34.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj34.userData.pointlabels = ["25", "26"];
obj34.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj34.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj34);
scene.add(obj34);

var obj35 = new THREE.Object3D();
obj35.name = "_bounded";
obj35.userData.explodable = 1;
obj35.userData.points = [];
obj35.userData.points.push(new PMPoint(-1.25, 0, 0.25));
obj35.userData.points.push(new PMPoint(-1.25, 0, 5.05));

obj35.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj35.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj35.userData.pointlabels = ["18", " "];
obj35.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj35.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj35);
scene.add(obj35);

var obj36 = new THREE.Object3D();
obj36.name = "unnamed__25";
obj36.userData.explodable = 1;
obj36.userData.points = [];
obj36.userData.points.push(new PMPoint(-1.25, 0, 0.25));
obj36.userData.points.push(new PMPoint(-1.5, 0, 0));

obj36.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj36.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj36.userData.pointlabels = ["18", "27"];
obj36.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj36.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj36);
scene.add(obj36);

var obj37 = new THREE.Object3D();
obj37.name = "_bounded";
obj37.userData.explodable = 1;
obj37.userData.points = [];
obj37.userData.points.push(new PMPoint(-1.5, 0, 0));
obj37.userData.points.push(new PMPoint(-1.5, 5.35, 0));

obj37.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj37.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj37.userData.pointlabels = ["27", " "];
obj37.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj37.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj37);
scene.add(obj37);

var obj38 = new THREE.Object3D();
obj38.name = "_bounded";
obj38.userData.explodable = 1;
obj38.userData.points = [];
obj38.userData.points.push(new PMPoint(-1.5, 0, 0));
obj38.userData.points.push(new PMPoint(-5.4, -3.9, -3.9));

obj38.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj38.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj38.userData.pointlabels = ["27", " "];
obj38.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj38.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj38);
scene.add(obj38);

var obj39 = new THREE.Object3D();
obj39.name = "_bounded";
obj39.userData.explodable = 1;
obj39.userData.points = [];
obj39.userData.points.push(new PMPoint(0.5, -0.5, 0.75));
obj39.userData.points.push(new PMPoint(0.5, -0.5, 5.05));

obj39.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj39.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj39.userData.pointlabels = ["20", " "];
obj39.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj39.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj39);
scene.add(obj39);

var obj40 = new THREE.Object3D();
obj40.name = "_bounded";
obj40.userData.explodable = 1;
obj40.userData.points = [];
obj40.userData.points.push(new PMPoint(-0.25, -1, 0.25));
obj40.userData.points.push(new PMPoint(-0.25, -1, 5.05));

obj40.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj40.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj40.userData.pointlabels = ["24", " "];
obj40.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj40.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj40);
scene.add(obj40);

var obj41 = new THREE.Object3D();
obj41.name = "unnamed__26";
obj41.userData.explodable = 1;
obj41.userData.points = [];
obj41.userData.points.push(new PMPoint(0.5, -0.5, 0.75));
obj41.userData.points.push(new PMPoint(0, -1, 0.25));

obj41.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj41.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj41.userData.pointlabels = ["20", "28"];
obj41.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj41.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj41);
scene.add(obj41);

var obj42 = new THREE.Object3D();
obj42.name = "unnamed__27";
obj42.userData.explodable = 1;
obj42.userData.points = [];
obj42.userData.points.push(new PMPoint(-0.25, -1, 0.25));
obj42.userData.points.push(new PMPoint(0, -1, 0.25));

obj42.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj42.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj42.userData.pointlabels = ["24", "28"];
obj42.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj42.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj42);
scene.add(obj42);

var obj43 = new THREE.Object3D();
obj43.name = "unnamed__28";
obj43.userData.explodable = 1;
obj43.userData.points = [];
obj43.userData.points.push(new PMPoint(0, -1, 0.25));
obj43.userData.points.push(new PMPoint(0, -1.25, 0));

obj43.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj43.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj43.userData.pointlabels = ["28", "29"];
obj43.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj43.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj43);
scene.add(obj43);

var obj44 = new THREE.Object3D();
obj44.name = "_bounded";
obj44.userData.explodable = 1;
obj44.userData.points = [];
obj44.userData.points.push(new PMPoint(0, -1.25, 0));
obj44.userData.points.push(new PMPoint(5.65, -1.25, 0));

obj44.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj44.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj44.userData.pointlabels = ["29", " "];
obj44.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj44.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj44);
scene.add(obj44);

var obj45 = new THREE.Object3D();
obj45.name = "_bounded";
obj45.userData.explodable = 1;
obj45.userData.points = [];
obj45.userData.points.push(new PMPoint(0, -1.25, 0));
obj45.userData.points.push(new PMPoint(-3.6, -4.85, -3.6));

obj45.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj45.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj45.userData.pointlabels = ["29", " "];
obj45.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj45.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj45);
scene.add(obj45);

var obj46 = new THREE.Object3D();
obj46.name = "unnamed__29";
obj46.userData.explodable = 1;
obj46.userData.points = [];
obj46.userData.points.push(new PMPoint(0.5, 0.5, -0.25));
obj46.userData.points.push(new PMPoint(0.75, 0.75, -0.25));

obj46.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj46.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj46.userData.pointlabels = ["22", "30"];
obj46.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj46.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj46);
scene.add(obj46);

var obj47 = new THREE.Object3D();
obj47.name = "_bounded";
obj47.userData.explodable = 1;
obj47.userData.points = [];
obj47.userData.points.push(new PMPoint(0.75, 0.75, -0.25));
obj47.userData.points.push(new PMPoint(0.75, 5.35, -0.25));

obj47.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj47.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj47.userData.pointlabels = ["30", " "];
obj47.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj47.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj47);
scene.add(obj47);

var obj48 = new THREE.Object3D();
obj48.name = "_bounded";
obj48.userData.explodable = 1;
obj48.userData.points = [];
obj48.userData.points.push(new PMPoint(0.75, 0.75, -0.25));
obj48.userData.points.push(new PMPoint(5.65, 0.75, -0.25));

obj48.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj48.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj48.userData.pointlabels = ["30", " "];
obj48.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj48.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj48);
scene.add(obj48);

var obj49 = new THREE.Object3D();
obj49.name = "unnamed__30";
obj49.userData.explodable = 1;
obj49.userData.points = [];
obj49.userData.points.push(new PMPoint(-0.25, 0, -0.75));
obj49.userData.points.push(new PMPoint(-0.5, 0, -1));

obj49.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj49.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj49.userData.pointlabels = ["26", "31"];
obj49.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj49.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj49);
scene.add(obj49);

var obj50 = new THREE.Object3D();
obj50.name = "_bounded";
obj50.userData.explodable = 1;
obj50.userData.points = [];
obj50.userData.points.push(new PMPoint(-0.5, 0, -1));
obj50.userData.points.push(new PMPoint(-0.5, 5.35, -1));

obj50.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj50.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj50.userData.pointlabels = ["31", " "];
obj50.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj50.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj50);
scene.add(obj50);

var obj51 = new THREE.Object3D();
obj51.name = "_bounded";
obj51.userData.explodable = 1;
obj51.userData.points = [];
obj51.userData.points.push(new PMPoint(-0.5, 0, -1));
obj51.userData.points.push(new PMPoint(-3.8, -3.3, -4.3));

obj51.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj51.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj51.userData.pointlabels = ["31", " "];
obj51.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj51.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj51);
scene.add(obj51);

var obj52 = new THREE.Object3D();
obj52.name = "unnamed__31";
obj52.userData.explodable = 1;
obj52.userData.points = [];
obj52.userData.points.push(new PMPoint(0.5, 0.5, -0.25));
obj52.userData.points.push(new PMPoint(0, 0, -0.75));

obj52.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj52.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj52.userData.pointlabels = ["22", "32"];
obj52.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj52.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj52);
scene.add(obj52);

var obj53 = new THREE.Object3D();
obj53.name = "unnamed__32";
obj53.userData.explodable = 1;
obj53.userData.points = [];
obj53.userData.points.push(new PMPoint(-0.25, 0, -0.75));
obj53.userData.points.push(new PMPoint(0, 0, -0.75));

obj53.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj53.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj53.userData.pointlabels = ["26", "32"];
obj53.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj53.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj53);
scene.add(obj53);

var obj54 = new THREE.Object3D();
obj54.name = "unnamed__33";
obj54.userData.explodable = 1;
obj54.userData.points = [];
obj54.userData.points.push(new PMPoint(0, 0, -0.75));
obj54.userData.points.push(new PMPoint(0, -0.25, -1));

obj54.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj54.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj54.userData.pointlabels = ["32", "33"];
obj54.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj54.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj54);
scene.add(obj54);

var obj55 = new THREE.Object3D();
obj55.name = "_bounded";
obj55.userData.explodable = 1;
obj55.userData.points = [];
obj55.userData.points.push(new PMPoint(0, -0.25, -1));
obj55.userData.points.push(new PMPoint(5.65, -0.25, -1));

obj55.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj55.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj55.userData.pointlabels = ["33", " "];
obj55.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj55.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj55);
scene.add(obj55);

var obj56 = new THREE.Object3D();
obj56.name = "_bounded";
obj56.userData.explodable = 1;
obj56.userData.points = [];
obj56.userData.points.push(new PMPoint(0, -0.25, -1));
obj56.userData.points.push(new PMPoint(-3.3, -3.55, -4.3));

obj56.userData.pointradii = [0.02, 0];
   <!-- Vertex style -->
obj56.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj56.userData.pointlabels = ["33", " "];
obj56.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj56.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj56);
scene.add(obj56);

// COMMON_CODE_BLOCK_BEGIN
function textSpriteMaterial(message, parameters) {
    if ( parameters === undefined ) parameters = {};
    var fontface = "Helvetica";
    var fontsize = parameters.hasOwnProperty("fontsize") ? parameters["fontsize"] : 15;
    fontsize = fontsize*10;
    var lines = message.split('\\n');
    var size = 512;
    for(var i = 0; i<lines.length; i++){
        var tmp = lines[i].length;
        while(tmp*fontsize > size){
           fontsize--;
        }
    }
    
    var canvas = document.createElement('canvas');
    canvas.width = size;
    canvas.height = size;
    var context = canvas.getContext('2d');
    context.fillStyle = "rgba(255, 255, 255, 0)";
    context.fill();
    context.font = fontsize + "px " + fontface;
    
    // text color
    context.fillStyle = "rgba(0, 0, 0, 1.0)";
     for(var i = 0; i<lines.length; i++){
        context.fillText(lines[i], size/2, size/2+i*fontsize);
     }
    
    // canvas contents will be used for a texture
    var texture = new THREE.Texture(canvas);
    texture.needsUpdate = true;
    
    var spriteMaterial = new THREE.SpriteMaterial({map: texture, depthTest: true, depthWrite: false, polygonOffset: true, polygonOffsetFactor: -1, polygonOffsetUnits: 1 });
    return spriteMaterial;
}


// ---------------------- INITIALIZING OBJECTS--------------------------------------
// ---------------------------------------------------------------------------------

function init_object(obj) {
    if (obj.userData.hasOwnProperty("pointmaterial")) {
        init_points(obj);
        modelContains.points = true;
    }
    if (obj.userData.hasOwnProperty("pointlabels")) {
        init_pointlabels(obj);
        modelContains.pointlabels = true;
    }
    if (obj.userData.hasOwnProperty("edgematerial")) {
        init_lines(obj);
        modelContains.lines = true;
    }
    if (obj.userData.hasOwnProperty("edgelabels")) {
        init_edgelabels(obj);
        modelContains.edgelabels = true;
    }
    if (obj.userData.hasOwnProperty("arrowstyle")) {
        init_arrowheads(obj);
        modelContains.arrowheads = true;
    }
    if (obj.userData.hasOwnProperty("facetmaterial")) {
        init_faces(obj);
        modelContains.faces = true;
    }
}

function init_points(obj) {
    var pointgroup = new THREE.Group();
    pointgroup.name = "points";
    var points = obj.userData.points;
    var radii = obj.userData.pointradii;
    var materials = obj.userData.pointmaterial;
    var geometry,material;
    if (!Array.isArray(radii)) {
        geometry = new THREE.SphereBufferGeometry(radii);  
    }
    if (!Array.isArray(materials)) {
        material = materials;
    }
    for (var i=0; i<points.length; i++) {
        var point = points[i];
        if (Array.isArray(radii)) {
            if (radii[i] == 0) {
                continue;
            }
            geometry = new THREE.SphereBufferGeometry(radii[i]);  
        } 
        if (Array.isArray(materials)) {
            material = materials[i];     
        } 
        var sphere = new THREE.Mesh(geometry, material);
        point.addSphere(sphere);
        pointgroup.add(sphere);
    }
    obj.add(pointgroup);
}

function init_pointlabels(obj) {
    var points = obj.userData.points;
    var labels = obj.userData.pointlabels;
    var pointlabels = new THREE.Group();
    pointlabels.name = "pointlabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<points.length; i++) {
            var point = points[i];
            var spriteMaterial = textSpriteMaterial( labels[i] );
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<points.length; i++) {
            var point = points[i];
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    }
    obj.add(pointlabels);
}

function init_lines(obj) {
    var edgeindices = obj.userData.edgeindices;
    var points = obj.userData.points;
    var materials = obj.userData.edgematerial;
    var geometry = new THREE.BufferGeometry();
    var bufarr = new Float32Array( obj.userData.edgeindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute( bufarr, 3 );
    var geometry = new THREE.BufferGeometry();
    geometry.setAttribute('position', bufattr);
    if (Array.isArray(materials)) {     
        for (var i=0; i<materials.length; i++) {
            geometry.addGroup(2*i,2,i);
        }
    }
    var lines = new THREE.LineSegments(geometry, materials);
    lines.name = "lines";
    obj.add(lines);
    updateEdgesPosition(obj);
}

function init_edgelabels(obj) {
    var points = obj.userData.points;
    var edgeindices = obj.userData.edgeindices;
    var labels = obj.userData.edgelabels;
    var edgelabels = new THREE.Group();
    edgelabels.name = "edgelabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<edgeindices.length/2; i++) {
            var spriteMaterial = textSpriteMaterial( labels[i] );
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<edgeindices.length/2; i++) {
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    }
    obj.add(edgelabels);
}

function init_arrowheads(obj) {
    var arrowheads = new THREE.Group();
    arrowheads.name = "arrowheads";
    var arrowstyle = obj.userData.arrowstyle;
    var edgeindices = obj.userData.edgeindices;
    var edgematerials = obj.userData.edgematerial;
    var points = obj.userData.points;
    var material;
    if (!Array.isArray(edgematerials)) {
        material = new THREE.MeshBasicMaterial( {color: edgematerials.color} );
    }

    for (var i=0; i<edgeindices.length; i=i+2) {
        var start = points[edgeindices[i]];
        var end = points[edgeindices[i+1]];
        var dist = start.vector.distanceTo( end.vector ) - start.radius() - end.radius();
        if (dist <= 0) {
            continue;
        }
        var dir = new THREE.Vector3().subVectors(end.vector,start.vector);
        dir.normalize();
        var axis = new THREE.Vector3().set(dir.z,0,-dir.x);
        axis.normalize();
        var radians = Math.acos( dir.y );
        var radius = dist/25;
        var height = dist/5;
        var geometry = new THREE.ConeBufferGeometry(radius,height);
        var position = new THREE.Vector3().addVectors(start.vector,dir.clone().multiplyScalar(start.radius()+dist-height/2));
        if (Array.isArray(edgematerials)) {
            material = new THREE.MeshBasicMaterial( {color: edgematerials[i].color} );
        }
        var cone = new THREE.Mesh( geometry, material );
        cone.quaternion.setFromAxisAngle(axis,radians);;
        cone.position.copy(position);;
        arrowheads.add(cone);
    }
    obj.add(arrowheads);
}

function init_faces(obj) {
    var points = obj.userData.points;
    var facets = obj.userData.facets;
    obj.userData.triangleindices = [];
    for (var i=0; i<facets.length; i++) {
        facet = facets[i];
        for (var t=0; t<facet.length-2; t++) {
            obj.userData.triangleindices.push(facet[0],facet[t+1],facet[t+2]);  
        }
    }
    var bufarr = new Float32Array( obj.userData.triangleindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute(bufarr,3);
    
    var materials = obj.userData.facetmaterial;
    var geometry = new THREE.BufferGeometry();
    var frontmaterials = [];
    var backmaterials = [];
    geometry.setAttribute('position',bufattr);
    if (Array.isArray(materials)) {
        var tricount = 0;
        var facet;
        for (var i=0; i<facets.length; i++) {
            facet = facets[i];
            geometry.addGroup(tricount,(facet.length-2)*3,i);
            tricount += (facet.length-2)*3;
        }
        for (var j=0; j<materials.length; j++) {
            var fmat = materials[j].clone()
            fmat.side = THREE.FrontSide;
            frontmaterials.push(fmat);
            var bmat = materials[j].clone()
            bmat.side = THREE.BackSide;
            backmaterials.push(bmat);
            obj.userData.facetmaterial = frontmaterials.concat(backmaterials);
        }
    } else if (materials instanceof THREE.Material) {
        frontmaterials = materials.clone()
        frontmaterials.side = THREE.FrontSide;
        backmaterials = materials.clone()
        backmaterials.side = THREE.BackSide;
        obj.userData.facetmaterial = [frontmaterials, backmaterials];
    }
    // duplicating the object with front and back should avoid transparency issues
    var backmesh = new THREE.Mesh(geometry, backmaterials);
    // meshname is used to show/hide objects
    backmesh.name = "backfaces";
    obj.add(backmesh);
    var frontmesh = new THREE.Mesh(geometry, frontmaterials);
    frontmesh.name = "frontfaces";
    obj.add(frontmesh);
    updateFacesPosition(obj);
}
// //INITIALIZING


function updateFacesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.triangleindices;
    var faces = obj.getObjectByName("frontfaces");
    var ba = faces.geometry.getAttribute("position");
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    faces.geometry.attributes.position.needsUpdate = true;
    
}

function updateEdgesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.edgeindices;
    var lines = obj.getObjectByName("lines");
    var ba = lines.geometry.getAttribute("position"); 
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    lines.geometry.attributes.position.needsUpdate = true;
}

function onWindowResize() {
    renderer.setSize( three.clientWidth, three.clientHeight );
    svgRenderer.setSize( three.clientWidth, three.clientHeight );
    updateCamera();
}

function updateCamera() {
    var width = three.clientWidth;
    var height = three.clientHeight;
    var aspect = width / height;
    if (camera.type == "OrthographicCamera") {
        camera.left = frustumSize * aspect / - 2;
        camera.right = frustumSize * aspect / 2;
        camera.top = frustumSize / 2;
        camera.bottom = - frustumSize / 2;
    } else if (camera.type == "PerspectiveCamera") {
        camera.aspect = aspect;
    }
    camera.updateProjectionMatrix();
}

function changeCamera(event) {
    var selindex = event.currentTarget.selectedIndex;
    camera = cameras[selindex];
    control = controls[selindex];
    control.enabled = true; 
    for (var i=0; i<controls.length; i++) {
        if (i!=selindex) {
            controls[i].enabled = false;
        }
    }
    updateCamera();
}

var camtypenode = document.getElementById('cameraType_2');
camtypenode.onchange = changeCamera;
camtypenode.dispatchEvent(new Event('change'));

onWindowResize();
window.addEventListener('resize', onWindowResize);	


var xRotationEnabled = false;
var yRotationEnabled = false;
var zRotationEnabled = false;
var rotationSpeedFactor = 1;
var settingsShown = false;
var labelsShown = true;
var intervals = [];
var timeouts = [];
var explodingSpeed = 0.05;
var explodeScale = 0.000001;
var XMLS = new XMLSerializer();
var svgElement;
var renderId;

var render = function () {

	renderId = requestAnimationFrame(render);

//	comment in for automatic explosion
//	explode(updateFactor());

    var phi = 0.02 * rotationSpeedFactor;

    if (xRotationEnabled) {
        scene.rotation.x += phi;
    }
    if (yRotationEnabled) {
        scene.rotation.y += phi;
    }
    if (zRotationEnabled) {
        scene.rotation.z += phi;
    }

    control.update();
    renderer.render(scene, camera);
};

if ( THREE.WEBGL.isWebGLAvailable() ) {
	render();
} else {
	var warning = WEBGL.getWebGLErrorMessage();
	three.appendChild( warning );
}
    
function changeTransparency() {
    var opacity = 1-Number(event.currentTarget.value);
    for (var i=0; i<scene.children.length; i++) {
        child = scene.children[i];
        if ( child.userData.hasOwnProperty("facetmaterial") ) {
            if (Array.isArray(child.userData.facetmaterial)) {
                for (var j=0; j<child.userData.facetmaterial.length; j++) {
                    child.userData.facetmaterial[j].opacity = opacity;
                }
            } else {
                child.userData.facetmaterial.opacity = opacity;
            }    
        }
    }
}

function changeRotationX(event){
    xRotationEnabled = event.currentTarget.checked;
}	

function changeRotationY(event){
    yRotationEnabled = event.currentTarget.checked;
}	

function changeRotationZ(event){
    zRotationEnabled = event.currentTarget.checked;
}	


function changeRotationSpeedFactor(event){
    rotationSpeedFactor = Number(event.currentTarget.value);
}

function resetScene(){
    scene.rotation.set(0,0,0);
    camera.position.set(0,0,5);
    camera.up.set(0,1,0);
}

function showSettings(event){
    document.getElementById('settings_2').style.visibility = 'visible';
    document.getElementById('showSettingsButton_2').style.visibility = 'hidden';
    document.getElementById('hideSettingsButton_2').style.visibility = 'visible';
    settingsShown = true;
}

function hideSettings(event){
    document.getElementById('settings_2').style.visibility = 'hidden';
    document.getElementById('showSettingsButton_2').style.visibility = 'visible';
    document.getElementById('hideSettingsButton_2').style.visibility = 'hidden';
    settingsShown = false;
}



var pos = 150* Math.PI;

function updateFactor() {
    pos++;
    return Math.sin(.01*pos)+1;
}

// ------------------------ FOLDING ------------------------------------------------
// ---------------------------------------------------------------------------------
// rotate point p around axis defined by points p1 and p2 by given angle
function rotate(p, p1, p2, angle ){   
    angle = -angle;
    var x = p.x, y = p.y, z = p.z, 
    a = p1.x, b = p1.y, c = p1.z, 
    u = p2.x-p1.x, v = p2.y-p1.y, w = p2.z-p1.z;
    var result = [];
    var L = u*u + v*v + w*w;
    var sqrt = Math.sqrt;
    var cos = Math.cos;
    var sin = Math.sin;

    result[0] = ((a*(v*v+w*w)-u*(b*v+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*x*cos(angle)+sqrt(L)*(-c*v+b*w-w*y+v*z)*sin(angle))/L;
    result[1] = ((b*(u*u+w*w)-v*(a*u+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*y*cos(angle)+sqrt(L)*(c*u-a*w+w*x-u*z)*sin(angle))/L;
    result[2] = ((c*(u*u+v*v)-w*(a*u+b*v-u*x-v*y-w*z))*(1-cos(angle))+L*z*cos(angle)+sqrt(L)*(-b*u+a*v-v*x+u*y)*sin(angle))/L;

    return result;
}

var fold = function(event){
    var obj = foldables[Number(event.currentTarget.name)];
    var foldvalue = Number(event.currentTarget.value);
    var scale = foldvalue - obj.userData.oldscale;

    for (var j=0; j<obj.userData.axes.length; j++) {
        rotateVertices(obj, j, scale);
    }
    update(obj);
    obj.userData.oldscale += scale;
    lookAtBarycenter(obj);
}

function lookAtBarycenter(obj){
    control.target = barycenter(obj);
}

function barycenter(obj) {
    var center = new THREE.Vector3(0,0,0);
    var points = obj.userData.points;
    for (var i=0; i<points.length; i++){
        center.add(points[i].vector);
    }
    center.divideScalar(points.length);
    return center;
}

function rotateVertices(obj, edge, scale) {
    var axes = obj.userData.axes;
    var subtrees = obj.userData.subtrees;
    var points = obj.userData.points;
    var angles = obj.userData.angles;
    if (edge < axes.length){
        for (var j=0; j<subtrees[edge].length; j++){
            var rotP = rotate(points[subtrees[edge][j]].vector, points[axes[edge][0]].vector,points[axes[edge][1]].vector, scale * (Math.PI - angles[edge]));
            points[subtrees[edge][j]].set(rotP[0],rotP[1],rotP[2]);
        }
    }
}

function update(obj) {
   updateFacesPosition(obj);
   updateEdgesPosition(obj);
}

if (foldables.length) {
    var settings = document.getElementById('settings_2');
    var foldDiv = document.createElement('div');
    foldDiv.id = 'fold_2';
    var title = document.createElement('strong');
    title.innerHTML = 'Fold';
    foldDiv.appendChild(title);
    foldDiv.className = 'group';
    for (var i=0; i<foldables.length; i++) {
        var range = document.createElement('input');
        range.type = 'range';
        range.min = 0;
        range.max = 1;
        range.value = 0;
        range.step = 0.001;
        range.name = String(i);
        range.oninput = fold;
        foldDiv.appendChild(range);
    }
    lookAtBarycenter(foldables[0]);
    settings.insertBefore(foldDiv,settings.childNodes[0]);
}

    
// ---------------------- EXPLOSION ------------------------------------------------
// ---------------------------------------------------------------------------------

if (explodableModel) {
    for (var i=0; i<scene.children.length; i++) {
        obj = scene.children[i];
        if ( obj.userData.explodable ) {
            computeCentroid(obj);
        }
    }
    document.getElementById('explodeRange_2').oninput = triggerExplode;
    document.getElementById('explodeCheckbox_2').onchange = triggerAutomaticExplode;
    document.getElementById('explodingSpeedRange_2').oninput = setExplodingSpeed;
    explode(0.000001);
}

function computeCentroid(obj) {
    centroid = new THREE.Vector3();
    obj.userData.points.forEach(function(pmpoint) {
        centroid.add(pmpoint.vector);			
    });
    centroid.divideScalar(obj.userData.points.length);
    obj.userData.centroid = centroid;
}

function explode(factor) {
    for (var i=0; i<scene.children.length; i++) {
        var obj = scene.children[i];
        if (obj.userData.hasOwnProperty("centroid")) { 
            var c = obj.userData.centroid;
            obj.position.set(c.x*factor, c.y*factor, c.z*factor);
        }
    }	
}

function triggerExplode(event){
    explodeScale = Number(event.currentTarget.value);
    explode(explodeScale);
}

function setExplodingSpeed(event){
    explodingSpeed = Number(event.currentTarget.value);
}

function triggerAutomaticExplode(event){
    if (event.currentTarget.checked){
        startExploding();
    } else {
        clearIntervals();
    }	
}

function startExploding(){
    intervals.push(setInterval(explodingInterval, 25));
}


function explodingInterval(){
    explodeScale += explodingSpeed;
    if (explodeScale <= 6){ 
        explode(explodeScale);
    }
    else{
        explode(6);
        explodeScale = 6;
        clearIntervals();
        timeouts.push(setTimeout(startUnexploding, 3000));
    }
    document.getElementById('explodeRange_2').value = explodeScale;
}


function startUnexploding(){
    intervals.push(setInterval(unexplodingInterval, 25));
}

function unexplodingInterval(){
    explodeScale -= explodingSpeed;
    if (explodeScale >= 0){	
        explode(explodeScale);
    }
    else {
        explode(0);
        explodeScale = 0;
        clearIntervals();
        timeouts.push(setTimeout(startExploding, 3000));
    }
    document.getElementById('explodeRange_2').value = explodeScale;
}

function clearIntervals(){
    intervals.forEach(function(interval){
        clearInterval(interval);
    });
    intervals = [];
    timeouts.forEach(function(timeout){
        clearTimeout(timeout);
    });
    timeouts = [];
}

// ---------------------- DISPLAY --------------------------------------------------
// ---------------------------------------------------------------------------------

const objectTypeInnerHTMLs = { points: "Points", pointlabels: "Point labels", lines: "Edges", edgelabels: "Edge labels", faces: "Faces", arrowheads: "Arrow heads" };
const objectTypeVisible = {};
Object.assign(objectTypeVisible,modelContains);
const sortedObjectTypeKeys = Object.keys(objectTypeInnerHTMLs).sort();
const shownObjectTypesList = document.getElementById('shownObjectTypesList_2');

function setVisibility(bool,objname) {
    for (var i=0; i<scene.children.length; i++){
        var obj = scene.children[i].getObjectByName(objname);
        if (obj) {
            obj.visible = bool;
        }
    }
}

function toggleObjectTypeVisibility(event){
    var name = event.currentTarget.name;
    var checked = event.currentTarget.checked;
    objectTypeVisible[name] = checked;
    if (name == "faces") {
        setVisibility(checked,"frontfaces");
        setVisibility(checked,"backfaces");
    } else {
        setVisibility(checked,name);
    }
}

for (var i=0; i<sortedObjectTypeKeys.length; i++){
    var key = sortedObjectTypeKeys[i];
    if (modelContains[key]) {
        var objTypeNode = document.createElement('span');
        objTypeNode.innerHTML = objectTypeInnerHTMLs[key] + '<br>';
        var checkbox = document.createElement('input');
        checkbox.type = 'checkbox';
        checkbox.checked = true;
        checkbox.name = key;
        checkbox.onchange = toggleObjectTypeVisibility;
        shownObjectTypesList.appendChild(checkbox);
        shownObjectTypesList.appendChild(objTypeNode);
    }
}

// ------------------------------------------------------

function toggleObjectVisibility(event){
    var nr = Number(event.currentTarget.name);
    scene.children[nr].visible = event.currentTarget.checked;
}

// append checkboxes for displaying or hiding objects
var shownObjectsList = document.getElementById('shownObjectsList_2');
for (var i=0; i<scene.children.length; i++){
    obj = scene.children[i];
    var objNode = document.createElement('span');
    objNode.innerHTML = obj.name + '<br>';
    var checkbox = document.createElement('input');
    checkbox.type = 'checkbox';
    checkbox.checked = true;
    checkbox.name = String(i);
    checkbox.onchange = toggleObjectVisibility;
    shownObjectsList.appendChild(checkbox);
    shownObjectsList.appendChild(objNode);
}

// ---------------------- SVG ------------------------------------------------------
// ---------------------------------------------------------------------------------

function takeSvgScreenshot() {
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(false,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(false,"edgelabels");
    }
    svgRenderer.render(scene,camera);
    svgElement = XMLS.serializeToString(svgRenderer.domElement);
    
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(true,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(true,"edgelabels");
    }

    if (document.getElementById('tab_2').checked){
        //show in new tab
        var myWindow = window.open("","");
        myWindow.document.body.innerHTML = svgElement;
    } else{
        // download svg file 
        download("screenshot.svg", svgElement);
    }
}

function download(filename, text) {
    var element = document.createElement('a');
    element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
    element.setAttribute('download', filename);

    element.style.display = 'none';
    document.body.appendChild(element);

    element.click();

    document.body.removeChild(element);
}


document.getElementById('transparencyRange_2').oninput = changeTransparency;
document.getElementById('changeRotationX_2').onchange = changeRotationX;
document.getElementById('changeRotationY_2').onchange = changeRotationY;
document.getElementById('changeRotationZ_2').onchange = changeRotationZ;
document.getElementById('resetButton_2').onclick = resetScene;
document.getElementById('rotationSpeedRange_2').oninput = changeRotationSpeedFactor;
document.getElementById('takeScreenshot_2').onclick = takeSvgScreenshot;
document.getElementById('showSettingsButton_2').onclick = showSettings;
document.getElementById('hideSettingsButton_2').onclick = hideSettings;


// ------------------ SHORTCUTS --------------------------------------------
// -------------------------------------------------------------------------

/**
 * http://www.openjs.com/scripts/events/keyboard_shortcuts/
 * Version : 2.01.B
 * By Binny V A
 * License : BSD
 */
shortcut = {
	'all_shortcuts':{},//All the shortcuts are stored in this array
	'add': function(shortcut_combination,callback,opt) {
		//Provide a set of default options
		var default_options = {
			'type':'keydown',
			'propagate':false,
			'disable_in_input':false,
			'target':document,
			'keycode':false
		}
		if(!opt) opt = default_options;
		else {
			for(var dfo in default_options) {
				if(typeof opt[dfo] == 'undefined') opt[dfo] = default_options[dfo];
			}
		}

		var ele = opt.target;
		if(typeof opt.target == 'string') ele = document.getElementById(opt.target);
		var ths = this;
		shortcut_combination = shortcut_combination.toLowerCase();

		//The function to be called at keypress
		var func = function(e) {
			e = e || window.event;
			
			if(opt['disable_in_input']) { //Don't enable shortcut keys in Input, Textarea fields
				var element;
				if(e.target) element=e.target;
				else if(e.srcElement) element=e.srcElement;
				if(element.nodeType==3) element=element.parentNode;

				if(element.tagName == 'INPUT' || element.tagName == 'TEXTAREA') return;
			}
	
			//Find Which key is pressed
			if (e.keyCode) code = e.keyCode;
			else if (e.which) code = e.which;
			var character = String.fromCharCode(code).toLowerCase();
			
			if(code == 188) character=","; //If the user presses , when the type is onkeydown
			if(code == 190) character="."; //If the user presses , when the type is onkeydown

			var keys = shortcut_combination.split("+");
			//Key Pressed - counts the number of valid keypresses - if it is same as the number of keys, the shortcut function is invoked
			var kp = 0;
			
			//Work around for stupid Shift key bug created by using lowercase - as a result the shift+num combination was broken
			var shift_nums = {
				"`":"~",
				"1":"!",
				"2":"@",
				"3":"#",
				"4":"$",
				"5":"%",
				"6":"^",
				"7":"&",
				"8":"*",
				"9":"(",
				"0":")",
				"-":"_",
				"=":"+",
				";":":",
				"'":"\"",
				",":"<",
				".":">",
				"/":"?",
				"\\":"|"
			}
			//Special Keys - and their codes
			var special_keys = {
				'esc':27,
				'escape':27,
				'tab':9,
				'space':32,
				'return':13,
				'enter':13,
				'backspace':8,
	
				'scrolllock':145,
				'scroll_lock':145,
				'scroll':145,
				'capslock':20,
				'caps_lock':20,
				'caps':20,
				'numlock':144,
				'num_lock':144,
				'num':144,
				
				'pause':19,
				'break':19,
				
				'insert':45,
				'home':36,
				'delete':46,
				'end':35,
				
				'pageup':33,
				'page_up':33,
				'pu':33,
	
				'pagedown':34,
				'page_down':34,
				'pd':34,
	
				'left':37,
				'up':38,
				'right':39,
				'down':40,
	
				'f1':112,
				'f2':113,
				'f3':114,
				'f4':115,
				'f5':116,
				'f6':117,
				'f7':118,
				'f8':119,
				'f9':120,
				'f10':121,
				'f11':122,
				'f12':123
			}
	
			var modifiers = { 
				shift: { wanted:false, pressed:false},
				ctrl : { wanted:false, pressed:false},
				alt  : { wanted:false, pressed:false},
				meta : { wanted:false, pressed:false}	//Meta is Mac specific
			};
                        
			if(e.ctrlKey)	modifiers.ctrl.pressed = true;
			if(e.shiftKey)	modifiers.shift.pressed = true;
			if(e.altKey)	modifiers.alt.pressed = true;
			if(e.metaKey)   modifiers.meta.pressed = true;
                        
			for(var i=0; k=keys[i],i<keys.length; i++) {
				//Modifiers
				if(k == 'ctrl' || k == 'control') {
					kp++;
					modifiers.ctrl.wanted = true;

				} else if(k == 'shift') {
					kp++;
					modifiers.shift.wanted = true;

				} else if(k == 'alt') {
					kp++;
					modifiers.alt.wanted = true;
				} else if(k == 'meta') {
					kp++;
					modifiers.meta.wanted = true;
				} else if(k.length > 1) { //If it is a special key
					if(special_keys[k] == code) kp++;
					
				} else if(opt['keycode']) {
					if(opt['keycode'] == code) kp++;

				} else { //The special keys did not match
					if(character == k) kp++;
					else {
						if(shift_nums[character] && e.shiftKey) { //Stupid Shift key bug created by using lowercase
							character = shift_nums[character]; 
							if(character == k) kp++;
						}
					}
				}
			}
			
			if(kp == keys.length && 
						modifiers.ctrl.pressed == modifiers.ctrl.wanted &&
						modifiers.shift.pressed == modifiers.shift.wanted &&
						modifiers.alt.pressed == modifiers.alt.wanted &&
						modifiers.meta.pressed == modifiers.meta.wanted) {
				callback(e);
	
				if(!opt['propagate']) { //Stop the event
					//e.cancelBubble is supported by IE - this will kill the bubbling process.
					e.cancelBubble = true;
					e.returnValue = false;
	
					//e.stopPropagation works in Firefox.
					if (e.stopPropagation) {
						e.stopPropagation();
						e.preventDefault();
					}
					return false;
				}
			}
		}
		this.all_shortcuts[shortcut_combination] = {
			'callback':func, 
			'target':ele, 
			'event': opt['type']
		};
		//Attach the function with the event
		if(ele.addEventListener) ele.addEventListener(opt['type'], func, false);
		else if(ele.attachEvent) ele.attachEvent('on'+opt['type'], func);
		else ele['on'+opt['type']] = func;
	},

	//Remove the shortcut - just specify the shortcut and I will remove the binding
	'remove':function(shortcut_combination) {
		shortcut_combination = shortcut_combination.toLowerCase();
		var binding = this.all_shortcuts[shortcut_combination];
		delete(this.all_shortcuts[shortcut_combination])
		if(!binding) return;
		var type = binding['event'];
		var ele = binding['target'];
		var callback = binding['callback'];

		if(ele.detachEvent) ele.detachEvent('on'+type, callback);
		else if(ele.removeEventListener) ele.removeEventListener(type, callback, false);
		else ele['on'+type] = false;
	}
}

shortcut.add("Alt+Left",function() {
	var event = new Event('click');
	if (settingsShown){
		document.getElementById('hideSettingsButton_2').dispatchEvent(event);
	} else {
		document.getElementById('showSettingsButton_2').dispatchEvent(event);
	}
});


// COMMON_CODE_BLOCK_END

});});
      </script>
   </body>
</html>
</HTML>
==== II.2 Framing a tropical curve in polymake and exporting it to OpenSCAD ====

Constructing a bounding box can be done using the command ''%%generateBoundingBox%%'' as before:

<code perl>
> $boundingBox = generateBoundingBox($tropicalCurve);
> $tropicalCurveBounded = intersectWithBoundingBox($tropicalCurve,$boundingBox);
</code>
For the sake of stability, the tropical curve requires a frame. This is best done using a tropical surface containing it:

<code perl>
> $tropicalSurface = new fan::PolyhedralComplex(
>                      VERTICES=>$TQuadric->VERTICES->minor(All,~[1]),
>                      MAXIMAL_POLYTOPES=>$TQuadric->MAXIMAL_POLYTOPES);
> $tropicalSurfaceFrame = intersectWithBoundingBoxForFraming($tropicalSurface,$boundingBox);
> compose($tropicalCurveBounded->VISUAL,$tropicalSurfaceFrame->VISUAL); 
> #todo: adjust edge thicknesses to distinguish frame from curve
</code>
<HTML>
<!--
polymake for ren
Fri Feb 25 14:53:19 2022
pcom:
-->


<html>
   <head>
      <meta charset=utf-8>
      <title>pcom:</title>
      <style>
/*
// COMMON_CODE_BLOCK_BEGIN
*/
         html {overflow: scroll;}
         strong{font-size: 18px;}
         canvas { z-index: 8; }
         input[type='radio'] {margin-left:0;}
         input[type='checkbox'] {margin-right:7px; margin-left: 0px; padding-left:0px;}
         .group{padding-bottom: 15px;}
         .settings * {z-index: 11; }
         .settings{z-index: 10; font-family: Arial, Helvetica, sans-serif; margin-left: 30px; visibility: hidden; width: 14em; height: 96%; border: solid 1px silver; padding: 2px; overflow-y: scroll; box-sizing: border-box; background-color: white; position: absolute;}
         .indented{margin-left: 20px; margin-top: 10px; padding-bottom: 0px;} 
         .shownObjectsList{overflow: auto; max-width: 150px; max-height: 150px;}
         .showSettingsButton{visibility: visible; z-index: 12; position: absolute }
         .hideSettingsButton{visibility: hidden; z-index: 12; position: absolute; opacity: 0.5}
         button{margin-left: 0; margin-top: 10px}
         img{cursor: pointer;}
         .suboption{padding-top: 15px;}
         #model62496904762 { width: 100%; height: 100%; }
         .threejs_container { width: 100%; height: 75vh;}
         .settings{max-height: 74vh} 
         input[type=range] {
           -webkit-appearance: none;
           padding:0; 
           width:90%; 
           margin-left: auto;
           margin-right: auto;
           margin-top: 15px;
           margin-bottom: 15px;
           display: block;	
         }
         input[type=range]:focus {
           outline: none;
         }
         input[type=range]::-webkit-slider-runnable-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-webkit-slider-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
           -webkit-appearance: none;
           margin-top: -5px;
         }
         input[type=range]:focus::-webkit-slider-runnable-track {
           background: #E3E3E3;
         }
         input[type=range]::-moz-range-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-moz-range-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]::-ms-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           background: transparent;
           border-color: transparent;
           color: transparent;
         }
         input[type=range]::-ms-fill-lower {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-fill-upper {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]:focus::-ms-fill-lower {
           background: #E3E3E3;
         }
         input[type=range]:focus::-ms-fill-upper {
           background: #E3E3E3;
         }
/*
// COMMON_CODE_BLOCK_END
*/
		</style>
   </head>
<body>
   <div class='threejs_container'>
		<div id='settings_3' class='settings'>
			<div class=group id='explode_3'>
				<strong>Explode</strong>
				<input id='explodeRange_3' type='range' min='0.00001' max=6 step=0.01 value=0.00001>
				<div class=indented><input id='explodeCheckbox_3' type='checkbox'>Automatic explosion</div>
				<div class=suboption>Exploding speed</div>
				<input id='explodingSpeedRange_3' type='range' min=0 max=0.5 step=0.001 value=0.05>
			</div>
	
			<div class=group id='transparency_3' class='transparency'>
				<strong>Transparency</strong>
				<input id='transparencyRange_3' type='range' min=0 max=1 step=0.01 value=0>
			</div>
			
			<div class=group id='rotation_3'>
				<strong>Rotation</strong>
				<div class=indented>
					<div><input type='checkbox' id='changeRotationX_3'> x-axis</div>
					<div><input type='checkbox' id='changeRotationY_3'> y-axis</div>
					<div><input type='checkbox' id='changeRotationZ_3'> z-axis</div>
					<button id='resetButton_3'>Reset</button>
				</div>

				<div class=suboption>Rotation speed</div>
				<input id='rotationSpeedRange_3' type='range' min=0 max=5 step=0.01 value=2>
			</div>


			<div class=group id='display_3'>
				<strong>Display</strong>
				<div class=indented>
					<div id='shownObjectTypesList_3' class='shownObjectsList'></div>
				</div>
				<div class=suboption>Objects</div>
				<div class=indented>
				   <div id='shownObjectsList_3' class='shownObjectsList'></div>
				</div>
			</div>
         
         <div class=group id='camera_3'>
            <strong>Camera</strong>
            <div class=indented>
               <form>
                  <select id="cameraType_3">
                     <option value='perspective' selected> Perspective<br></option>
                     <option value='orthographic' > Orthographic<br></option>
                  </select>
               </form>
            </div>
         </div>

			<div class=group id='svg_3'>
				<strong>SVG</strong>
				<div class=indented>
					<form>
						<input type="radio" name='screenshotMode' value='download' id='download_3' checked> Download<br>
						<input type="radio" name='screenshotMode' value='tab' id='tab_3' > New tab<br>
					</form>
					<button id='takeScreenshot_3'>Screenshot</button>
				</div>
			</div>

		</div>	<!-- end of settings -->
		<img id='hideSettingsButton_3' class='hideSettingsButton' src='/kernelspecs/r118/polymake/close.svg' width=20px">
		<img id='showSettingsButton_3' class='showSettingsButton' src='/kernelspecs/r118/polymake/menu.svg' width=20px">
<div id="model62496904762"></div>
</div>
   <script>
    requirejs.config({
      paths: {
        three: '/kernelspecs/r118/polymake/three',
        TrackballControls: '/kernelspecs/r118/polymake/TrackballControls',
        OrbitControls: '/kernelspecs/r118/polymake/OrbitControls',
        Projector: '/kernelspecs/r118/polymake/Projector',
        SVGRenderer: '/kernelspecs/r118/polymake/SVGRenderer',
        WEBGL: '/kernelspecs/r118/polymake/WebGL',
      },
      shim: {
        'three': { exports: 'THREE'},
        'SVGRenderer': { deps: [ 'three' ], exports: 'THREE.SVGRenderer' },
        'WEBGL': { deps: [ 'three' ], exports: 'THREE.WEBGL' },
        'Projector': { deps: [ 'three' ], exports: 'THREE.Projector' },
        'TrackballControls': { deps: [ 'three' ], exports: 'THREE.TrackballControls' },
        'OrbitControls': { deps: [ 'three' ], exports: 'THREE.OrbitControls' },
      }
    });
    
    require(['three'],function(THREE){
        window.THREE = THREE;
      require(['TrackballControls', 'OrbitControls', 'Projector', 'SVGRenderer', 'WEBGL'],
               function(TrackballControls, OrbitControls, Projector, SVGRenderer, WEBGL) {
    THREE.TrackballControls = TrackballControls;
    THREE.OrbitControls = OrbitControls;
    THREE.Projector = Projector;
    THREE.SVGRenderer = SVGRenderer;
    THREE.WEBGL = WEBGL;

// COMMON_CODE_BLOCK_BEGIN

const intervalLength = 25; // for automatic animations
const explodableModel = true; 
const modelContains = { points: false, pointlabels: false, lines: false, edgelabels: false, faces: false, arrowheads: false };
const foldables = [];

var three = document.getElementById("model62496904762");
var scene = new THREE.Scene();
var renderer = new THREE.WebGLRenderer( { antialias: true } );
var svgRenderer = new THREE.SVGRenderer( { antialias: true } );
renderer.setPixelRatio( window.devicePixelRatio );
renderer.setClearColor(0xFFFFFF, 1);
svgRenderer.setClearColor(0xFFFFFF, 1);
three.appendChild(renderer.domElement);

var frustumSize = 4;
var cameras = [new THREE.PerspectiveCamera(75, 1, 0.1, 1000), new THREE.OrthographicCamera()];
cameras.forEach(function(cam) {
    cam.position.set(0, 0, 5);
    cam.lookAt(0, 0, 0);  
    cam.up.set(0, 1, 0);         
});
var controls = [new THREE.TrackballControls(cameras[0], three), new THREE.OrbitControls(cameras[1], three)];
var camera, control;

controls[0].zoomSpeed = 0.2;
controls[0].rotateSpeed = 4;


// class to allow move points together with labels and spheres
var PMPoint = function (x,y,z) {
   this.vector = new THREE.Vector3(x,y,z);
   this.sprite = null;
   this.sphere = null;
}
PMPoint.prototype.addLabel = function(labelsprite) {
   this.sprite = labelsprite;
   this.sprite.position.copy(this.vector);
}
PMPoint.prototype.addSphere = function(spheremesh) {
   this.sphere = spheremesh;
   this.sphere.position.copy(this.vector);
}
PMPoint.prototype.set = function(x,y,z) {
   this.vector.set(x,y,z);
   if (this.sprite) {
      this.sprite.position.copy(this.vector);
   }
   if (this.sphere) {
      this.sphere.position.copy(this.vector);
   }
}
PMPoint.prototype.radius = function() {
   if (this.sphere) {
      return this.sphere.geometry.parameters.radius;
   } else {
      return 0;
   }
};
// select the target node
var target = document.querySelector('#model62496904762');

// create an observer instance
var observer = new MutationObserver(function(mutations) {
   mutations.forEach(function(mutation) {
      if (mutation.removedNodes && mutation.removedNodes.length > 0) {
         cancelAnimationFrame(renderId);
         observer.disconnect();
         console.log("cancelled frame "+renderId);
      }
   });
});

// configuration of the observer:
var config = { childList: true, characterData: true }

// pass in the target node, as well as the observer options
while (target) {
   if (target.className=="output") {
      observer.observe(target, config);
      break;
   }
   target = target.parentNode;
}

// COMMON_CODE_BLOCK_END

var obj0 = new THREE.Object3D();
obj0.name = "unnamed__1";
obj0.userData.explodable = 1;
obj0.userData.points = [];
obj0.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj0.userData.points.push(new PMPoint(1.5, 1.5, 2.75));

obj0.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj0.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj0.userData.pointlabels = ["0", "1"];
obj0.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj0.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj0);
scene.add(obj0);

var obj1 = new THREE.Object3D();
obj1.name = "unnamed__2";
obj1.userData.explodable = 1;
obj1.userData.points = [];
obj1.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj1.userData.points.push(new PMPoint(0.75, 1, 2.75));

obj1.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj1.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj1.userData.pointlabels = ["2", "3"];
obj1.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj1.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj1);
scene.add(obj1);

var obj2 = new THREE.Object3D();
obj2.name = "unnamed__3";
obj2.userData.explodable = 1;
obj2.userData.points = [];
obj2.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj2.userData.points.push(new PMPoint(1.75, 1.75, 1.75));

obj2.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj2.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj2.userData.pointlabels = ["0", "4"];
obj2.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj2.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj2);
scene.add(obj2);

var obj3 = new THREE.Object3D();
obj3.name = "unnamed__4";
obj3.userData.explodable = 1;
obj3.userData.points = [];
obj3.userData.points.push(new PMPoint(1.75, 1.75, 1.75));
obj3.userData.points.push(new PMPoint(1.75, 2.75, 1.75));

obj3.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj3.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj3.userData.pointlabels = ["4", "5"];
obj3.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj3.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj3);
scene.add(obj3);

var obj4 = new THREE.Object3D();
obj4.name = "unnamed__5";
obj4.userData.explodable = 1;
obj4.userData.points = [];
obj4.userData.points.push(new PMPoint(1.75, 1.75, 1.75));
obj4.userData.points.push(new PMPoint(2.75, 1.75, 1.75));

obj4.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj4.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj4.userData.pointlabels = ["4", "6"];
obj4.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj4.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj4);
scene.add(obj4);

var obj5 = new THREE.Object3D();
obj5.name = "unnamed__6";
obj5.userData.explodable = 1;
obj5.userData.points = [];
obj5.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj5.userData.points.push(new PMPoint(0.5, 1, 1));

obj5.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj5.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj5.userData.pointlabels = ["7", "8"];
obj5.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj5.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj5);
scene.add(obj5);

var obj6 = new THREE.Object3D();
obj6.name = "unnamed__7";
obj6.userData.explodable = 1;
obj6.userData.points = [];
obj6.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj6.userData.points.push(new PMPoint(0.5, 1, 1));

obj6.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj6.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj6.userData.pointlabels = ["2", "8"];
obj6.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj6.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj6);
scene.add(obj6);

var obj7 = new THREE.Object3D();
obj7.name = "unnamed__8";
obj7.userData.explodable = 1;
obj7.userData.points = [];
obj7.userData.points.push(new PMPoint(0.5, 1, 1));
obj7.userData.points.push(new PMPoint(0.5, 2.75, 1));

obj7.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj7.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj7.userData.pointlabels = ["8", "9"];
obj7.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj7.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj7);
scene.add(obj7);

var obj8 = new THREE.Object3D();
obj8.name = "unnamed__9";
obj8.userData.explodable = 1;
obj8.userData.points = [];
obj8.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj8.userData.points.push(new PMPoint(1, 0.75, 1));

obj8.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj8.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj8.userData.pointlabels = ["10", "11"];
obj8.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj8.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj8);
scene.add(obj8);

var obj9 = new THREE.Object3D();
obj9.name = "unnamed__10";
obj9.userData.explodable = 1;
obj9.userData.points = [];
obj9.userData.points.push(new PMPoint(0.75, 1, 1.25));
obj9.userData.points.push(new PMPoint(1, 1, 1.25));

obj9.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj9.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj9.userData.pointlabels = ["2", "12"];
obj9.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj9.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj9);
scene.add(obj9);

var obj10 = new THREE.Object3D();
obj10.name = "unnamed__11";
obj10.userData.explodable = 1;
obj10.userData.points = [];
obj10.userData.points.push(new PMPoint(1, 0.75, 1));
obj10.userData.points.push(new PMPoint(1, 1, 1.25));

obj10.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj10.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj10.userData.pointlabels = ["11", "12"];
obj10.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj10.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj10);
scene.add(obj10);

var obj11 = new THREE.Object3D();
obj11.name = "unnamed__12";
obj11.userData.explodable = 1;
obj11.userData.points = [];
obj11.userData.points.push(new PMPoint(1, 0.75, 1));
obj11.userData.points.push(new PMPoint(2.75, 0.75, 1));

obj11.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj11.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj11.userData.pointlabels = ["11", "13"];
obj11.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj11.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj11);
scene.add(obj11);

var obj12 = new THREE.Object3D();
obj12.name = "unnamed__13";
obj12.userData.explodable = 1;
obj12.userData.points = [];
obj12.userData.points.push(new PMPoint(1.5, 1.5, 1.75));
obj12.userData.points.push(new PMPoint(1, 1, 1.25));

obj12.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj12.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj12.userData.pointlabels = ["0", "12"];
obj12.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj12.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj12);
scene.add(obj12);

var obj13 = new THREE.Object3D();
obj13.name = "unnamed__14";
obj13.userData.explodable = 1;
obj13.userData.points = [];
obj13.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj13.userData.points.push(new PMPoint(-0.5, 0.5, 2.75));

obj13.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj13.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj13.userData.pointlabels = ["14", "15"];
obj13.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj13.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj13);
scene.add(obj13);

var obj14 = new THREE.Object3D();
obj14.name = "unnamed__15";
obj14.userData.explodable = 1;
obj14.userData.points = [];
obj14.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj14.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));

obj14.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj14.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj14.userData.pointlabels = ["7", "16"];
obj14.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj14.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj14);
scene.add(obj14);

var obj15 = new THREE.Object3D();
obj15.name = "unnamed__16";
obj15.userData.explodable = 1;
obj15.userData.points = [];
obj15.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj15.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));

obj15.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj15.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj15.userData.pointlabels = ["14", "16"];
obj15.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj15.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj15);
scene.add(obj15);

var obj16 = new THREE.Object3D();
obj16.name = "unnamed__17";
obj16.userData.explodable = 1;
obj16.userData.points = [];
obj16.userData.points.push(new PMPoint(-0.25, 0.75, 0.75));
obj16.userData.points.push(new PMPoint(-0.25, 2.75, 0.75));

obj16.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj16.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj16.userData.pointlabels = ["16", "17"];
obj16.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj16.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj16);
scene.add(obj16);

var obj17 = new THREE.Object3D();
obj17.name = "unnamed__18";
obj17.userData.explodable = 1;
obj17.userData.points = [];
obj17.userData.points.push(new PMPoint(0.25, 0.75, 0.75));
obj17.userData.points.push(new PMPoint(0.25, 0.5, 0.5));

obj17.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj17.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj17.userData.pointlabels = ["7", "18"];
obj17.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj17.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj17);
scene.add(obj17);

var obj18 = new THREE.Object3D();
obj18.name = "unnamed__19";
obj18.userData.explodable = 1;
obj18.userData.points = [];
obj18.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj18.userData.points.push(new PMPoint(-1, -0.25, 0));

obj18.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj18.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj18.userData.pointlabels = ["19", "20"];
obj18.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj18.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj18);
scene.add(obj18);

var obj19 = new THREE.Object3D();
obj19.name = "unnamed__20";
obj19.userData.explodable = 1;
obj19.userData.points = [];
obj19.userData.points.push(new PMPoint(-0.5, 0.5, 0.75));
obj19.userData.points.push(new PMPoint(-1, 0, 0.25));

obj19.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj19.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj19.userData.pointlabels = ["14", "21"];
obj19.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj19.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj19);
scene.add(obj19);

var obj20 = new THREE.Object3D();
obj20.name = "unnamed__21";
obj20.userData.explodable = 1;
obj20.userData.points = [];
obj20.userData.points.push(new PMPoint(-1, -0.25, 0));
obj20.userData.points.push(new PMPoint(-1, 0, 0.25));

obj20.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj20.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj20.userData.pointlabels = ["20", "21"];
obj20.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj20.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj20);
scene.add(obj20);

var obj21 = new THREE.Object3D();
obj21.name = "unnamed__22";
obj21.userData.explodable = 1;
obj21.userData.points = [];
obj21.userData.points.push(new PMPoint(-1, -0.25, 0));
obj21.userData.points.push(new PMPoint(-2.5, -1.75, -1.5));

obj21.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj21.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj21.userData.pointlabels = ["20", "22"];
obj21.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj21.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj21);
scene.add(obj21);

var obj22 = new THREE.Object3D();
obj22.name = "unnamed__23";
obj22.userData.explodable = 1;
obj22.userData.points = [];
obj22.userData.points.push(new PMPoint(-1, 0, 0.25));
obj22.userData.points.push(new PMPoint(-1.25, 0, 0.25));

obj22.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj22.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj22.userData.pointlabels = ["21", "23"];
obj22.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj22.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj22);
scene.add(obj22);

var obj23 = new THREE.Object3D();
obj23.name = "unnamed__24";
obj23.userData.explodable = 1;
obj23.userData.points = [];
obj23.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj23.userData.points.push(new PMPoint(0.75, -0.25, 0.75));

obj23.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj23.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj23.userData.pointlabels = ["10", "24"];
obj23.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj23.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj23);
scene.add(obj23);

var obj24 = new THREE.Object3D();
obj24.name = "unnamed__25";
obj24.userData.explodable = 1;
obj24.userData.points = [];
obj24.userData.points.push(new PMPoint(0.75, -0.25, 0.75));
obj24.userData.points.push(new PMPoint(0.5, -0.5, 0.75));

obj24.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj24.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj24.userData.pointlabels = ["24", "25"];
obj24.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj24.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj24);
scene.add(obj24);

var obj25 = new THREE.Object3D();
obj25.name = "unnamed__26";
obj25.userData.explodable = 1;
obj25.userData.points = [];
obj25.userData.points.push(new PMPoint(0.75, -0.25, 0.75));
obj25.userData.points.push(new PMPoint(2.75, -0.25, 0.75));

obj25.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj25.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj25.userData.pointlabels = ["24", "26"];
obj25.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj25.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj25);
scene.add(obj25);

var obj26 = new THREE.Object3D();
obj26.name = "unnamed__27";
obj26.userData.explodable = 1;
obj26.userData.points = [];
obj26.userData.points.push(new PMPoint(0.25, 0.5, 0.5));
obj26.userData.points.push(new PMPoint(0.5, 0.5, 0.5));

obj26.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj26.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj26.userData.pointlabels = ["18", "27"];
obj26.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj26.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj26);
scene.add(obj26);

var obj27 = new THREE.Object3D();
obj27.name = "unnamed__28";
obj27.userData.explodable = 1;
obj27.userData.points = [];
obj27.userData.points.push(new PMPoint(0.75, 0.5, 0.75));
obj27.userData.points.push(new PMPoint(0.5, 0.5, 0.5));

obj27.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj27.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj27.userData.pointlabels = ["10", "27"];
obj27.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj27.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj27);
scene.add(obj27);

var obj28 = new THREE.Object3D();
obj28.name = "unnamed__29";
obj28.userData.explodable = 1;
obj28.userData.points = [];
obj28.userData.points.push(new PMPoint(0.5, 0.5, 0.5));
obj28.userData.points.push(new PMPoint(0.5, 0.5, -0.25));

obj28.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj28.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj28.userData.pointlabels = ["27", "28"];
obj28.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj28.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj28);
scene.add(obj28);

var obj29 = new THREE.Object3D();
obj29.name = "unnamed__30";
obj29.userData.explodable = 1;
obj29.userData.points = [];
obj29.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj29.userData.points.push(new PMPoint(-0.5, -1, 0));

obj29.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj29.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj29.userData.pointlabels = ["19", "29"];
obj29.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj29.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj29);
scene.add(obj29);

var obj30 = new THREE.Object3D();
obj30.name = "unnamed__31";
obj30.userData.explodable = 1;
obj30.userData.points = [];
obj30.userData.points.push(new PMPoint(-0.5, -1, 0));
obj30.userData.points.push(new PMPoint(-0.25, -1, 0.25));

obj30.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj30.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj30.userData.pointlabels = ["29", "30"];
obj30.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj30.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj30);
scene.add(obj30);

var obj31 = new THREE.Object3D();
obj31.name = "unnamed__32";
obj31.userData.explodable = 1;
obj31.userData.points = [];
obj31.userData.points.push(new PMPoint(-0.5, -1, 0));
obj31.userData.points.push(new PMPoint(-1.75, -2.25, -1.25));

obj31.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj31.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj31.userData.pointlabels = ["29", "31"];
obj31.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj31.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj31);
scene.add(obj31);

var obj32 = new THREE.Object3D();
obj32.name = "unnamed__33";
obj32.userData.explodable = 1;
obj32.userData.points = [];
obj32.userData.points.push(new PMPoint(0.25, 0.5, 0.5));
obj32.userData.points.push(new PMPoint(-0.25, 0, 0));

obj32.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj32.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj32.userData.pointlabels = ["18", "32"];
obj32.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj32.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj32);
scene.add(obj32);

var obj33 = new THREE.Object3D();
obj33.name = "unnamed__34";
obj33.userData.explodable = 1;
obj33.userData.points = [];
obj33.userData.points.push(new PMPoint(-0.5, -0.25, 0));
obj33.userData.points.push(new PMPoint(-0.25, 0, 0));

obj33.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj33.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj33.userData.pointlabels = ["19", "32"];
obj33.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj33.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj33);
scene.add(obj33);

var obj34 = new THREE.Object3D();
obj34.name = "unnamed__35";
obj34.userData.explodable = 1;
obj34.userData.points = [];
obj34.userData.points.push(new PMPoint(-0.25, 0, 0));
obj34.userData.points.push(new PMPoint(-0.25, 0, -0.75));

obj34.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj34.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj34.userData.pointlabels = ["32", "33"];
obj34.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj34.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj34);
scene.add(obj34);

var obj35 = new THREE.Object3D();
obj35.name = "unnamed__36";
obj35.userData.explodable = 1;
obj35.userData.points = [];
obj35.userData.points.push(new PMPoint(-1.25, 0, 0.25));
obj35.userData.points.push(new PMPoint(-1.25, 0, 2.75));

obj35.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj35.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj35.userData.pointlabels = ["23", "34"];
obj35.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj35.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj35);
scene.add(obj35);

var obj36 = new THREE.Object3D();
obj36.name = "unnamed__37";
obj36.userData.explodable = 1;
obj36.userData.points = [];
obj36.userData.points.push(new PMPoint(-1.25, 0, 0.25));
obj36.userData.points.push(new PMPoint(-1.5, 0, 0));

obj36.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj36.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj36.userData.pointlabels = ["23", "35"];
obj36.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj36.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj36);
scene.add(obj36);

var obj37 = new THREE.Object3D();
obj37.name = "unnamed__38";
obj37.userData.explodable = 1;
obj37.userData.points = [];
obj37.userData.points.push(new PMPoint(-1.5, 0, 0));
obj37.userData.points.push(new PMPoint(-1.5, 2.75, 0));

obj37.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj37.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj37.userData.pointlabels = ["35", "36"];
obj37.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj37.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj37);
scene.add(obj37);

var obj38 = new THREE.Object3D();
obj38.name = "unnamed__39";
obj38.userData.explodable = 1;
obj38.userData.points = [];
obj38.userData.points.push(new PMPoint(-1.5, 0, 0));
obj38.userData.points.push(new PMPoint(-2.5, -1, -1));

obj38.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj38.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj38.userData.pointlabels = ["35", "37"];
obj38.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj38.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj38);
scene.add(obj38);

var obj39 = new THREE.Object3D();
obj39.name = "unnamed__40";
obj39.userData.explodable = 1;
obj39.userData.points = [];
obj39.userData.points.push(new PMPoint(0.5, -0.5, 0.75));
obj39.userData.points.push(new PMPoint(0.5, -0.5, 2.75));

obj39.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj39.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj39.userData.pointlabels = ["25", "38"];
obj39.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj39.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj39);
scene.add(obj39);

var obj40 = new THREE.Object3D();
obj40.name = "unnamed__41";
obj40.userData.explodable = 1;
obj40.userData.points = [];
obj40.userData.points.push(new PMPoint(-0.25, -1, 0.25));
obj40.userData.points.push(new PMPoint(-0.25, -1, 2.75));

obj40.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj40.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj40.userData.pointlabels = ["30", "39"];
obj40.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj40.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj40);
scene.add(obj40);

var obj41 = new THREE.Object3D();
obj41.name = "unnamed__42";
obj41.userData.explodable = 1;
obj41.userData.points = [];
obj41.userData.points.push(new PMPoint(0.5, -0.5, 0.75));
obj41.userData.points.push(new PMPoint(0, -1, 0.25));

obj41.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj41.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj41.userData.pointlabels = ["25", "40"];
obj41.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj41.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj41);
scene.add(obj41);

var obj42 = new THREE.Object3D();
obj42.name = "unnamed__43";
obj42.userData.explodable = 1;
obj42.userData.points = [];
obj42.userData.points.push(new PMPoint(-0.25, -1, 0.25));
obj42.userData.points.push(new PMPoint(0, -1, 0.25));

obj42.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj42.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj42.userData.pointlabels = ["30", "40"];
obj42.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj42.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj42);
scene.add(obj42);

var obj43 = new THREE.Object3D();
obj43.name = "unnamed__44";
obj43.userData.explodable = 1;
obj43.userData.points = [];
obj43.userData.points.push(new PMPoint(0, -1, 0.25));
obj43.userData.points.push(new PMPoint(0, -1.25, 0));

obj43.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj43.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj43.userData.pointlabels = ["40", "41"];
obj43.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj43.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj43);
scene.add(obj43);

var obj44 = new THREE.Object3D();
obj44.name = "unnamed__45";
obj44.userData.explodable = 1;
obj44.userData.points = [];
obj44.userData.points.push(new PMPoint(0, -1.25, 0));
obj44.userData.points.push(new PMPoint(2.75, -1.25, 0));

obj44.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj44.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj44.userData.pointlabels = ["41", "42"];
obj44.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj44.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj44);
scene.add(obj44);

var obj45 = new THREE.Object3D();
obj45.name = "unnamed__46";
obj45.userData.explodable = 1;
obj45.userData.points = [];
obj45.userData.points.push(new PMPoint(0, -1.25, 0));
obj45.userData.points.push(new PMPoint(-1, -2.25, -1));

obj45.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj45.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj45.userData.pointlabels = ["41", "43"];
obj45.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj45.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj45);
scene.add(obj45);

var obj46 = new THREE.Object3D();
obj46.name = "unnamed__47";
obj46.userData.explodable = 1;
obj46.userData.points = [];
obj46.userData.points.push(new PMPoint(0.5, 0.5, -0.25));
obj46.userData.points.push(new PMPoint(0.75, 0.75, -0.25));

obj46.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj46.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj46.userData.pointlabels = ["28", "44"];
obj46.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj46.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj46);
scene.add(obj46);

var obj47 = new THREE.Object3D();
obj47.name = "unnamed__48";
obj47.userData.explodable = 1;
obj47.userData.points = [];
obj47.userData.points.push(new PMPoint(0.75, 0.75, -0.25));
obj47.userData.points.push(new PMPoint(0.75, 2.75, -0.25));

obj47.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj47.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj47.userData.pointlabels = ["44", "45"];
obj47.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj47.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj47);
scene.add(obj47);

var obj48 = new THREE.Object3D();
obj48.name = "unnamed__49";
obj48.userData.explodable = 1;
obj48.userData.points = [];
obj48.userData.points.push(new PMPoint(0.75, 0.75, -0.25));
obj48.userData.points.push(new PMPoint(2.75, 0.75, -0.25));

obj48.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj48.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj48.userData.pointlabels = ["44", "46"];
obj48.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj48.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj48);
scene.add(obj48);

var obj49 = new THREE.Object3D();
obj49.name = "unnamed__50";
obj49.userData.explodable = 1;
obj49.userData.points = [];
obj49.userData.points.push(new PMPoint(-0.25, 0, -0.75));
obj49.userData.points.push(new PMPoint(-0.5, 0, -1));

obj49.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj49.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj49.userData.pointlabels = ["33", "47"];
obj49.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj49.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj49);
scene.add(obj49);

var obj50 = new THREE.Object3D();
obj50.name = "unnamed__51";
obj50.userData.explodable = 1;
obj50.userData.points = [];
obj50.userData.points.push(new PMPoint(-0.5, 0, -1));
obj50.userData.points.push(new PMPoint(-0.5, 2.75, -1));

obj50.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj50.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj50.userData.pointlabels = ["47", "48"];
obj50.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj50.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj50);
scene.add(obj50);

var obj51 = new THREE.Object3D();
obj51.name = "unnamed__52";
obj51.userData.explodable = 1;
obj51.userData.points = [];
obj51.userData.points.push(new PMPoint(-0.5, 0, -1));
obj51.userData.points.push(new PMPoint(-1.5, -1, -2));

obj51.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj51.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj51.userData.pointlabels = ["47", "49"];
obj51.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj51.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj51);
scene.add(obj51);

var obj52 = new THREE.Object3D();
obj52.name = "unnamed__53";
obj52.userData.explodable = 1;
obj52.userData.points = [];
obj52.userData.points.push(new PMPoint(0.5, 0.5, -0.25));
obj52.userData.points.push(new PMPoint(0, 0, -0.75));

obj52.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj52.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj52.userData.pointlabels = ["28", "50"];
obj52.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj52.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj52);
scene.add(obj52);

var obj53 = new THREE.Object3D();
obj53.name = "unnamed__54";
obj53.userData.explodable = 1;
obj53.userData.points = [];
obj53.userData.points.push(new PMPoint(-0.25, 0, -0.75));
obj53.userData.points.push(new PMPoint(0, 0, -0.75));

obj53.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj53.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj53.userData.pointlabels = ["33", "50"];
obj53.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj53.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj53);
scene.add(obj53);

var obj54 = new THREE.Object3D();
obj54.name = "unnamed__55";
obj54.userData.explodable = 1;
obj54.userData.points = [];
obj54.userData.points.push(new PMPoint(0, 0, -0.75));
obj54.userData.points.push(new PMPoint(0, -0.25, -1));

obj54.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj54.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj54.userData.pointlabels = ["50", "51"];
obj54.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj54.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj54);
scene.add(obj54);

var obj55 = new THREE.Object3D();
obj55.name = "unnamed__56";
obj55.userData.explodable = 1;
obj55.userData.points = [];
obj55.userData.points.push(new PMPoint(0, -0.25, -1));
obj55.userData.points.push(new PMPoint(2.75, -0.25, -1));

obj55.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj55.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj55.userData.pointlabels = ["51", "52"];
obj55.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj55.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj55);
scene.add(obj55);

var obj56 = new THREE.Object3D();
obj56.name = "unnamed__57";
obj56.userData.explodable = 1;
obj56.userData.points = [];
obj56.userData.points.push(new PMPoint(0, -0.25, -1));
obj56.userData.points.push(new PMPoint(-1, -1.25, -2));

obj56.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj56.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj56.userData.pointlabels = ["51", "53"];
obj56.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj56.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj56);
scene.add(obj56);

var obj57 = new THREE.Object3D();
obj57.name = "unnamed__58";
obj57.userData.explodable = 1;
obj57.userData.points = [];
obj57.userData.points.push(new PMPoint(1.25, 1.5, 2.75));
obj57.userData.points.push(new PMPoint(1.25, 2.75, 2.75));

obj57.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj57.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj57.userData.pointlabels = ["0", "1"];
obj57.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj57.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj57);
scene.add(obj57);

var obj58 = new THREE.Object3D();
obj58.name = "unnamed__59";
obj58.userData.explodable = 1;
obj58.userData.points = [];
obj58.userData.points.push(new PMPoint(1.25, 2.75, 2.75));
obj58.userData.points.push(new PMPoint(1.25, 2.75, 1.75));

obj58.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj58.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj58.userData.pointlabels = ["1", "2"];
obj58.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj58.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj58);
scene.add(obj58);

var obj59 = new THREE.Object3D();
obj59.name = "unnamed__60";
obj59.userData.explodable = 1;
obj59.userData.points = [];
obj59.userData.points.push(new PMPoint(1.25, 1.5, 2.75));
obj59.userData.points.push(new PMPoint(2.75, 1.5, 2.75));

obj59.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj59.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj59.userData.pointlabels = ["0", "3"];
obj59.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj59.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj59);
scene.add(obj59);

var obj60 = new THREE.Object3D();
obj60.name = "unnamed__61";
obj60.userData.explodable = 1;
obj60.userData.points = [];
obj60.userData.points.push(new PMPoint(2.75, 1.5, 2.75));
obj60.userData.points.push(new PMPoint(2.75, 1.5, 1.75));

obj60.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj60.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj60.userData.pointlabels = ["3", "4"];
obj60.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj60.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj60);
scene.add(obj60);

var obj61 = new THREE.Object3D();
obj61.name = "unnamed__62";
obj61.userData.explodable = 1;
obj61.userData.points = [];
obj61.userData.points.push(new PMPoint(1.25, 1.5, 2.75));
obj61.userData.points.push(new PMPoint(0.25, 0.5, 2.75));

obj61.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj61.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj61.userData.pointlabels = ["0", "5"];
obj61.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj61.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj61);
scene.add(obj61);

var obj62 = new THREE.Object3D();
obj62.name = "unnamed__63";
obj62.userData.explodable = 1;
obj62.userData.points = [];
obj62.userData.points.push(new PMPoint(1.25, 2.75, 1.75));
obj62.userData.points.push(new PMPoint(2.75, 2.75, 1.75));

obj62.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj62.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj62.userData.pointlabels = ["2", "6"];
obj62.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj62.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj62);
scene.add(obj62);

var obj63 = new THREE.Object3D();
obj63.name = "unnamed__64";
obj63.userData.explodable = 1;
obj63.userData.points = [];
obj63.userData.points.push(new PMPoint(2.75, 1.5, 1.75));
obj63.userData.points.push(new PMPoint(2.75, 2.75, 1.75));

obj63.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj63.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj63.userData.pointlabels = ["4", "6"];
obj63.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj63.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj63);
scene.add(obj63);

var obj64 = new THREE.Object3D();
obj64.name = "unnamed__65";
obj64.userData.explodable = 1;
obj64.userData.points = [];
obj64.userData.points.push(new PMPoint(1.25, 2.75, 1.75));
obj64.userData.points.push(new PMPoint(0.25, 2.75, 0.75));

obj64.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj64.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj64.userData.pointlabels = ["2", "7"];
obj64.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj64.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj64);
scene.add(obj64);

var obj65 = new THREE.Object3D();
obj65.name = "unnamed__66";
obj65.userData.explodable = 1;
obj65.userData.points = [];
obj65.userData.points.push(new PMPoint(2.75, 1.5, 1.75));
obj65.userData.points.push(new PMPoint(2.75, 0.5, 0.75));

obj65.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj65.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj65.userData.pointlabels = ["4", "8"];
obj65.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj65.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj65);
scene.add(obj65);

var obj66 = new THREE.Object3D();
obj66.name = "unnamed__67";
obj66.userData.explodable = 1;
obj66.userData.points = [];
obj66.userData.points.push(new PMPoint(0.25, 0.5, 2.75));
obj66.userData.points.push(new PMPoint(-0.75, 0.5, 2.75));

obj66.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj66.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj66.userData.pointlabels = ["5", "9"];
obj66.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj66.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj66);
scene.add(obj66);

var obj67 = new THREE.Object3D();
obj67.name = "unnamed__68";
obj67.userData.explodable = 1;
obj67.userData.points = [];
obj67.userData.points.push(new PMPoint(0.25, 0.5, 2.75));
obj67.userData.points.push(new PMPoint(0.25, -0.5, 2.75));

obj67.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj67.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj67.userData.pointlabels = ["5", "10"];
obj67.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj67.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj67);
scene.add(obj67);

var obj68 = new THREE.Object3D();
obj68.name = "unnamed__69";
obj68.userData.explodable = 1;
obj68.userData.points = [];
obj68.userData.points.push(new PMPoint(0.25, 2.75, 0.75));
obj68.userData.points.push(new PMPoint(-0.75, 2.75, 0.75));

obj68.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj68.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj68.userData.pointlabels = ["7", "11"];
obj68.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj68.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj68);
scene.add(obj68);

var obj69 = new THREE.Object3D();
obj69.name = "unnamed__70";
obj69.userData.explodable = 1;
obj69.userData.points = [];
obj69.userData.points.push(new PMPoint(0.25, 2.75, 0.75));
obj69.userData.points.push(new PMPoint(0.25, 2.75, -0.25));

obj69.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj69.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj69.userData.pointlabels = ["7", "12"];
obj69.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj69.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj69);
scene.add(obj69);

var obj70 = new THREE.Object3D();
obj70.name = "unnamed__71";
obj70.userData.explodable = 1;
obj70.userData.points = [];
obj70.userData.points.push(new PMPoint(-2.5, -2.25, -2));
obj70.userData.points.push(new PMPoint(-2.5, -1.25, -1));

obj70.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj70.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj70.userData.pointlabels = ["13", "14"];
obj70.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj70.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj70);
scene.add(obj70);

var obj71 = new THREE.Object3D();
obj71.name = "unnamed__72";
obj71.userData.explodable = 1;
obj71.userData.points = [];
obj71.userData.points.push(new PMPoint(2.75, 0.5, 0.75));
obj71.userData.points.push(new PMPoint(2.75, -0.5, 0.75));

obj71.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj71.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj71.userData.pointlabels = ["8", "15"];
obj71.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj71.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj71);
scene.add(obj71);

var obj72 = new THREE.Object3D();
obj72.name = "unnamed__73";
obj72.userData.explodable = 1;
obj72.userData.points = [];
obj72.userData.points.push(new PMPoint(2.75, 0.5, 0.75));
obj72.userData.points.push(new PMPoint(2.75, 0.5, -0.25));

obj72.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj72.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj72.userData.pointlabels = ["8", "16"];
obj72.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj72.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj72);
scene.add(obj72);

var obj73 = new THREE.Object3D();
obj73.name = "unnamed__74";
obj73.userData.explodable = 1;
obj73.userData.points = [];
obj73.userData.points.push(new PMPoint(-2.5, -2.25, -2));
obj73.userData.points.push(new PMPoint(-1.5, -2.25, -1));

obj73.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj73.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj73.userData.pointlabels = ["13", "17"];
obj73.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj73.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj73);
scene.add(obj73);

var obj74 = new THREE.Object3D();
obj74.name = "unnamed__75";
obj74.userData.explodable = 1;
obj74.userData.points = [];
obj74.userData.points.push(new PMPoint(-2.5, -2.25, -2));
obj74.userData.points.push(new PMPoint(-1.5, -1.25, -2));

obj74.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj74.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj74.userData.pointlabels = ["13", "18"];
obj74.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj74.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj74);
scene.add(obj74);

var obj75 = new THREE.Object3D();
obj75.name = "unnamed__76";
obj75.userData.explodable = 1;
obj75.userData.points = [];
obj75.userData.points.push(new PMPoint(-0.75, 0.5, 2.75));
obj75.userData.points.push(new PMPoint(-0.75, 2.75, 2.75));

obj75.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj75.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj75.userData.pointlabels = ["9", "19"];
obj75.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj75.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj75);
scene.add(obj75);

var obj76 = new THREE.Object3D();
obj76.name = "unnamed__77";
obj76.userData.explodable = 1;
obj76.userData.points = [];
obj76.userData.points.push(new PMPoint(-0.75, 2.75, 0.75));
obj76.userData.points.push(new PMPoint(-0.75, 2.75, 2.75));

obj76.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj76.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj76.userData.pointlabels = ["11", "19"];
obj76.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj76.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj76);
scene.add(obj76);

var obj77 = new THREE.Object3D();
obj77.name = "unnamed__78";
obj77.userData.explodable = 1;
obj77.userData.points = [];
obj77.userData.points.push(new PMPoint(-2.5, -1.25, -1));
obj77.userData.points.push(new PMPoint(-2.5, -1.25, 2.75));

obj77.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj77.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj77.userData.pointlabels = ["14", "20"];
obj77.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj77.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj77);
scene.add(obj77);

var obj78 = new THREE.Object3D();
obj78.name = "unnamed__79";
obj78.userData.explodable = 1;
obj78.userData.points = [];
obj78.userData.points.push(new PMPoint(-0.75, 0.5, 2.75));
obj78.userData.points.push(new PMPoint(-2.5, -1.25, 2.75));

obj78.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj78.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj78.userData.pointlabels = ["9", "20"];
obj78.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj78.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj78);
scene.add(obj78);

var obj79 = new THREE.Object3D();
obj79.name = "unnamed__80";
obj79.userData.explodable = 1;
obj79.userData.points = [];
obj79.userData.points.push(new PMPoint(-2.5, -1.25, -1));
obj79.userData.points.push(new PMPoint(-2.5, 2.75, -1));

obj79.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj79.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj79.userData.pointlabels = ["14", "21"];
obj79.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj79.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj79);
scene.add(obj79);

var obj80 = new THREE.Object3D();
obj80.name = "unnamed__81";
obj80.userData.explodable = 1;
obj80.userData.points = [];
obj80.userData.points.push(new PMPoint(-0.75, 2.75, 0.75));
obj80.userData.points.push(new PMPoint(-2.5, 2.75, -1));

obj80.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj80.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj80.userData.pointlabels = ["11", "21"];
obj80.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj80.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj80);
scene.add(obj80);

var obj81 = new THREE.Object3D();
obj81.name = "unnamed__82";
obj81.userData.explodable = 1;
obj81.userData.points = [];
obj81.userData.points.push(new PMPoint(0.25, -0.5, 2.75));
obj81.userData.points.push(new PMPoint(2.75, -0.5, 2.75));

obj81.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj81.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj81.userData.pointlabels = ["10", "22"];
obj81.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj81.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj81);
scene.add(obj81);

var obj82 = new THREE.Object3D();
obj82.name = "unnamed__83";
obj82.userData.explodable = 1;
obj82.userData.points = [];
obj82.userData.points.push(new PMPoint(2.75, -0.5, 0.75));
obj82.userData.points.push(new PMPoint(2.75, -0.5, 2.75));

obj82.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj82.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj82.userData.pointlabels = ["15", "22"];
obj82.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj82.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj82);
scene.add(obj82);

var obj83 = new THREE.Object3D();
obj83.name = "unnamed__84";
obj83.userData.explodable = 1;
obj83.userData.points = [];
obj83.userData.points.push(new PMPoint(-1.5, -2.25, -1));
obj83.userData.points.push(new PMPoint(-1.5, -2.25, 2.75));

obj83.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj83.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj83.userData.pointlabels = ["17", "23"];
obj83.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj83.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj83);
scene.add(obj83);

var obj84 = new THREE.Object3D();
obj84.name = "unnamed__85";
obj84.userData.explodable = 1;
obj84.userData.points = [];
obj84.userData.points.push(new PMPoint(0.25, -0.5, 2.75));
obj84.userData.points.push(new PMPoint(-1.5, -2.25, 2.75));

obj84.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj84.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj84.userData.pointlabels = ["10", "23"];
obj84.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj84.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj84);
scene.add(obj84);

var obj85 = new THREE.Object3D();
obj85.name = "unnamed__86";
obj85.userData.explodable = 1;
obj85.userData.points = [];
obj85.userData.points.push(new PMPoint(-1.5, -2.25, -1));
obj85.userData.points.push(new PMPoint(2.75, -2.25, -1));

obj85.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj85.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj85.userData.pointlabels = ["17", "24"];
obj85.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj85.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj85);
scene.add(obj85);

var obj86 = new THREE.Object3D();
obj86.name = "unnamed__87";
obj86.userData.explodable = 1;
obj86.userData.points = [];
obj86.userData.points.push(new PMPoint(2.75, -0.5, 0.75));
obj86.userData.points.push(new PMPoint(2.75, -2.25, -1));

obj86.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj86.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj86.userData.pointlabels = ["15", "24"];
obj86.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj86.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj86);
scene.add(obj86);

var obj87 = new THREE.Object3D();
obj87.name = "unnamed__88";
obj87.userData.explodable = 1;
obj87.userData.points = [];
obj87.userData.points.push(new PMPoint(0.25, 2.75, -0.25));
obj87.userData.points.push(new PMPoint(2.75, 2.75, -0.25));

obj87.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj87.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj87.userData.pointlabels = ["12", "25"];
obj87.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj87.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj87);
scene.add(obj87);

var obj88 = new THREE.Object3D();
obj88.name = "unnamed__89";
obj88.userData.explodable = 1;
obj88.userData.points = [];
obj88.userData.points.push(new PMPoint(2.75, 0.5, -0.25));
obj88.userData.points.push(new PMPoint(2.75, 2.75, -0.25));

obj88.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj88.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj88.userData.pointlabels = ["16", "25"];
obj88.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj88.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj88);
scene.add(obj88);

var obj89 = new THREE.Object3D();
obj89.name = "unnamed__90";
obj89.userData.explodable = 1;
obj89.userData.points = [];
obj89.userData.points.push(new PMPoint(-1.5, -1.25, -2));
obj89.userData.points.push(new PMPoint(-1.5, 2.75, -2));

obj89.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj89.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj89.userData.pointlabels = ["18", "26"];
obj89.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj89.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj89);
scene.add(obj89);

var obj90 = new THREE.Object3D();
obj90.name = "unnamed__91";
obj90.userData.explodable = 1;
obj90.userData.points = [];
obj90.userData.points.push(new PMPoint(0.25, 2.75, -0.25));
obj90.userData.points.push(new PMPoint(-1.5, 2.75, -2));

obj90.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj90.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj90.userData.pointlabels = ["12", "26"];
obj90.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj90.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj90);
scene.add(obj90);

var obj91 = new THREE.Object3D();
obj91.name = "unnamed__92";
obj91.userData.explodable = 1;
obj91.userData.points = [];
obj91.userData.points.push(new PMPoint(-1.5, -1.25, -2));
obj91.userData.points.push(new PMPoint(2.75, -1.25, -2));

obj91.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj91.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj91.userData.pointlabels = ["18", "27"];
obj91.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj91.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj91);
scene.add(obj91);

var obj92 = new THREE.Object3D();
obj92.name = "unnamed__93";
obj92.userData.explodable = 1;
obj92.userData.points = [];
obj92.userData.points.push(new PMPoint(2.75, 0.5, -0.25));
obj92.userData.points.push(new PMPoint(2.75, -1.25, -2));

obj92.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj92.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj92.userData.pointlabels = ["16", "27"];
obj92.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj92.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj92);
scene.add(obj92);

// COMMON_CODE_BLOCK_BEGIN
function textSpriteMaterial(message, parameters) {
    if ( parameters === undefined ) parameters = {};
    var fontface = "Helvetica";
    var fontsize = parameters.hasOwnProperty("fontsize") ? parameters["fontsize"] : 15;
    fontsize = fontsize*10;
    var lines = message.split('\\n');
    var size = 512;
    for(var i = 0; i<lines.length; i++){
        var tmp = lines[i].length;
        while(tmp*fontsize > size){
           fontsize--;
        }
    }
    
    var canvas = document.createElement('canvas');
    canvas.width = size;
    canvas.height = size;
    var context = canvas.getContext('2d');
    context.fillStyle = "rgba(255, 255, 255, 0)";
    context.fill();
    context.font = fontsize + "px " + fontface;
    
    // text color
    context.fillStyle = "rgba(0, 0, 0, 1.0)";
     for(var i = 0; i<lines.length; i++){
        context.fillText(lines[i], size/2, size/2+i*fontsize);
     }
    
    // canvas contents will be used for a texture
    var texture = new THREE.Texture(canvas);
    texture.needsUpdate = true;
    
    var spriteMaterial = new THREE.SpriteMaterial({map: texture, depthTest: true, depthWrite: false, polygonOffset: true, polygonOffsetFactor: -1, polygonOffsetUnits: 1 });
    return spriteMaterial;
}


// ---------------------- INITIALIZING OBJECTS--------------------------------------
// ---------------------------------------------------------------------------------

function init_object(obj) {
    if (obj.userData.hasOwnProperty("pointmaterial")) {
        init_points(obj);
        modelContains.points = true;
    }
    if (obj.userData.hasOwnProperty("pointlabels")) {
        init_pointlabels(obj);
        modelContains.pointlabels = true;
    }
    if (obj.userData.hasOwnProperty("edgematerial")) {
        init_lines(obj);
        modelContains.lines = true;
    }
    if (obj.userData.hasOwnProperty("edgelabels")) {
        init_edgelabels(obj);
        modelContains.edgelabels = true;
    }
    if (obj.userData.hasOwnProperty("arrowstyle")) {
        init_arrowheads(obj);
        modelContains.arrowheads = true;
    }
    if (obj.userData.hasOwnProperty("facetmaterial")) {
        init_faces(obj);
        modelContains.faces = true;
    }
}

function init_points(obj) {
    var pointgroup = new THREE.Group();
    pointgroup.name = "points";
    var points = obj.userData.points;
    var radii = obj.userData.pointradii;
    var materials = obj.userData.pointmaterial;
    var geometry,material;
    if (!Array.isArray(radii)) {
        geometry = new THREE.SphereBufferGeometry(radii);  
    }
    if (!Array.isArray(materials)) {
        material = materials;
    }
    for (var i=0; i<points.length; i++) {
        var point = points[i];
        if (Array.isArray(radii)) {
            if (radii[i] == 0) {
                continue;
            }
            geometry = new THREE.SphereBufferGeometry(radii[i]);  
        } 
        if (Array.isArray(materials)) {
            material = materials[i];     
        } 
        var sphere = new THREE.Mesh(geometry, material);
        point.addSphere(sphere);
        pointgroup.add(sphere);
    }
    obj.add(pointgroup);
}

function init_pointlabels(obj) {
    var points = obj.userData.points;
    var labels = obj.userData.pointlabels;
    var pointlabels = new THREE.Group();
    pointlabels.name = "pointlabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<points.length; i++) {
            var point = points[i];
            var spriteMaterial = textSpriteMaterial( labels[i] );
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<points.length; i++) {
            var point = points[i];
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    }
    obj.add(pointlabels);
}

function init_lines(obj) {
    var edgeindices = obj.userData.edgeindices;
    var points = obj.userData.points;
    var materials = obj.userData.edgematerial;
    var geometry = new THREE.BufferGeometry();
    var bufarr = new Float32Array( obj.userData.edgeindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute( bufarr, 3 );
    var geometry = new THREE.BufferGeometry();
    geometry.setAttribute('position', bufattr);
    if (Array.isArray(materials)) {     
        for (var i=0; i<materials.length; i++) {
            geometry.addGroup(2*i,2,i);
        }
    }
    var lines = new THREE.LineSegments(geometry, materials);
    lines.name = "lines";
    obj.add(lines);
    updateEdgesPosition(obj);
}

function init_edgelabels(obj) {
    var points = obj.userData.points;
    var edgeindices = obj.userData.edgeindices;
    var labels = obj.userData.edgelabels;
    var edgelabels = new THREE.Group();
    edgelabels.name = "edgelabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<edgeindices.length/2; i++) {
            var spriteMaterial = textSpriteMaterial( labels[i] );
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<edgeindices.length/2; i++) {
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    }
    obj.add(edgelabels);
}

function init_arrowheads(obj) {
    var arrowheads = new THREE.Group();
    arrowheads.name = "arrowheads";
    var arrowstyle = obj.userData.arrowstyle;
    var edgeindices = obj.userData.edgeindices;
    var edgematerials = obj.userData.edgematerial;
    var points = obj.userData.points;
    var material;
    if (!Array.isArray(edgematerials)) {
        material = new THREE.MeshBasicMaterial( {color: edgematerials.color} );
    }

    for (var i=0; i<edgeindices.length; i=i+2) {
        var start = points[edgeindices[i]];
        var end = points[edgeindices[i+1]];
        var dist = start.vector.distanceTo( end.vector ) - start.radius() - end.radius();
        if (dist <= 0) {
            continue;
        }
        var dir = new THREE.Vector3().subVectors(end.vector,start.vector);
        dir.normalize();
        var axis = new THREE.Vector3().set(dir.z,0,-dir.x);
        axis.normalize();
        var radians = Math.acos( dir.y );
        var radius = dist/25;
        var height = dist/5;
        var geometry = new THREE.ConeBufferGeometry(radius,height);
        var position = new THREE.Vector3().addVectors(start.vector,dir.clone().multiplyScalar(start.radius()+dist-height/2));
        if (Array.isArray(edgematerials)) {
            material = new THREE.MeshBasicMaterial( {color: edgematerials[i].color} );
        }
        var cone = new THREE.Mesh( geometry, material );
        cone.quaternion.setFromAxisAngle(axis,radians);;
        cone.position.copy(position);;
        arrowheads.add(cone);
    }
    obj.add(arrowheads);
}

function init_faces(obj) {
    var points = obj.userData.points;
    var facets = obj.userData.facets;
    obj.userData.triangleindices = [];
    for (var i=0; i<facets.length; i++) {
        facet = facets[i];
        for (var t=0; t<facet.length-2; t++) {
            obj.userData.triangleindices.push(facet[0],facet[t+1],facet[t+2]);  
        }
    }
    var bufarr = new Float32Array( obj.userData.triangleindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute(bufarr,3);
    
    var materials = obj.userData.facetmaterial;
    var geometry = new THREE.BufferGeometry();
    var frontmaterials = [];
    var backmaterials = [];
    geometry.setAttribute('position',bufattr);
    if (Array.isArray(materials)) {
        var tricount = 0;
        var facet;
        for (var i=0; i<facets.length; i++) {
            facet = facets[i];
            geometry.addGroup(tricount,(facet.length-2)*3,i);
            tricount += (facet.length-2)*3;
        }
        for (var j=0; j<materials.length; j++) {
            var fmat = materials[j].clone()
            fmat.side = THREE.FrontSide;
            frontmaterials.push(fmat);
            var bmat = materials[j].clone()
            bmat.side = THREE.BackSide;
            backmaterials.push(bmat);
            obj.userData.facetmaterial = frontmaterials.concat(backmaterials);
        }
    } else if (materials instanceof THREE.Material) {
        frontmaterials = materials.clone()
        frontmaterials.side = THREE.FrontSide;
        backmaterials = materials.clone()
        backmaterials.side = THREE.BackSide;
        obj.userData.facetmaterial = [frontmaterials, backmaterials];
    }
    // duplicating the object with front and back should avoid transparency issues
    var backmesh = new THREE.Mesh(geometry, backmaterials);
    // meshname is used to show/hide objects
    backmesh.name = "backfaces";
    obj.add(backmesh);
    var frontmesh = new THREE.Mesh(geometry, frontmaterials);
    frontmesh.name = "frontfaces";
    obj.add(frontmesh);
    updateFacesPosition(obj);
}
// //INITIALIZING


function updateFacesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.triangleindices;
    var faces = obj.getObjectByName("frontfaces");
    var ba = faces.geometry.getAttribute("position");
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    faces.geometry.attributes.position.needsUpdate = true;
    
}

function updateEdgesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.edgeindices;
    var lines = obj.getObjectByName("lines");
    var ba = lines.geometry.getAttribute("position"); 
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    lines.geometry.attributes.position.needsUpdate = true;
}

function onWindowResize() {
    renderer.setSize( three.clientWidth, three.clientHeight );
    svgRenderer.setSize( three.clientWidth, three.clientHeight );
    updateCamera();
}

function updateCamera() {
    var width = three.clientWidth;
    var height = three.clientHeight;
    var aspect = width / height;
    if (camera.type == "OrthographicCamera") {
        camera.left = frustumSize * aspect / - 2;
        camera.right = frustumSize * aspect / 2;
        camera.top = frustumSize / 2;
        camera.bottom = - frustumSize / 2;
    } else if (camera.type == "PerspectiveCamera") {
        camera.aspect = aspect;
    }
    camera.updateProjectionMatrix();
}

function changeCamera(event) {
    var selindex = event.currentTarget.selectedIndex;
    camera = cameras[selindex];
    control = controls[selindex];
    control.enabled = true; 
    for (var i=0; i<controls.length; i++) {
        if (i!=selindex) {
            controls[i].enabled = false;
        }
    }
    updateCamera();
}

var camtypenode = document.getElementById('cameraType_3');
camtypenode.onchange = changeCamera;
camtypenode.dispatchEvent(new Event('change'));

onWindowResize();
window.addEventListener('resize', onWindowResize);	


var xRotationEnabled = false;
var yRotationEnabled = false;
var zRotationEnabled = false;
var rotationSpeedFactor = 1;
var settingsShown = false;
var labelsShown = true;
var intervals = [];
var timeouts = [];
var explodingSpeed = 0.05;
var explodeScale = 0.000001;
var XMLS = new XMLSerializer();
var svgElement;
var renderId;

var render = function () {

	renderId = requestAnimationFrame(render);

//	comment in for automatic explosion
//	explode(updateFactor());

    var phi = 0.02 * rotationSpeedFactor;

    if (xRotationEnabled) {
        scene.rotation.x += phi;
    }
    if (yRotationEnabled) {
        scene.rotation.y += phi;
    }
    if (zRotationEnabled) {
        scene.rotation.z += phi;
    }

    control.update();
    renderer.render(scene, camera);
};

if ( THREE.WEBGL.isWebGLAvailable() ) {
	render();
} else {
	var warning = WEBGL.getWebGLErrorMessage();
	three.appendChild( warning );
}
    
function changeTransparency() {
    var opacity = 1-Number(event.currentTarget.value);
    for (var i=0; i<scene.children.length; i++) {
        child = scene.children[i];
        if ( child.userData.hasOwnProperty("facetmaterial") ) {
            if (Array.isArray(child.userData.facetmaterial)) {
                for (var j=0; j<child.userData.facetmaterial.length; j++) {
                    child.userData.facetmaterial[j].opacity = opacity;
                }
            } else {
                child.userData.facetmaterial.opacity = opacity;
            }    
        }
    }
}

function changeRotationX(event){
    xRotationEnabled = event.currentTarget.checked;
}	

function changeRotationY(event){
    yRotationEnabled = event.currentTarget.checked;
}	

function changeRotationZ(event){
    zRotationEnabled = event.currentTarget.checked;
}	


function changeRotationSpeedFactor(event){
    rotationSpeedFactor = Number(event.currentTarget.value);
}

function resetScene(){
    scene.rotation.set(0,0,0);
    camera.position.set(0,0,5);
    camera.up.set(0,1,0);
}

function showSettings(event){
    document.getElementById('settings_3').style.visibility = 'visible';
    document.getElementById('showSettingsButton_3').style.visibility = 'hidden';
    document.getElementById('hideSettingsButton_3').style.visibility = 'visible';
    settingsShown = true;
}

function hideSettings(event){
    document.getElementById('settings_3').style.visibility = 'hidden';
    document.getElementById('showSettingsButton_3').style.visibility = 'visible';
    document.getElementById('hideSettingsButton_3').style.visibility = 'hidden';
    settingsShown = false;
}



var pos = 150* Math.PI;

function updateFactor() {
    pos++;
    return Math.sin(.01*pos)+1;
}

// ------------------------ FOLDING ------------------------------------------------
// ---------------------------------------------------------------------------------
// rotate point p around axis defined by points p1 and p2 by given angle
function rotate(p, p1, p2, angle ){   
    angle = -angle;
    var x = p.x, y = p.y, z = p.z, 
    a = p1.x, b = p1.y, c = p1.z, 
    u = p2.x-p1.x, v = p2.y-p1.y, w = p2.z-p1.z;
    var result = [];
    var L = u*u + v*v + w*w;
    var sqrt = Math.sqrt;
    var cos = Math.cos;
    var sin = Math.sin;

    result[0] = ((a*(v*v+w*w)-u*(b*v+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*x*cos(angle)+sqrt(L)*(-c*v+b*w-w*y+v*z)*sin(angle))/L;
    result[1] = ((b*(u*u+w*w)-v*(a*u+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*y*cos(angle)+sqrt(L)*(c*u-a*w+w*x-u*z)*sin(angle))/L;
    result[2] = ((c*(u*u+v*v)-w*(a*u+b*v-u*x-v*y-w*z))*(1-cos(angle))+L*z*cos(angle)+sqrt(L)*(-b*u+a*v-v*x+u*y)*sin(angle))/L;

    return result;
}

var fold = function(event){
    var obj = foldables[Number(event.currentTarget.name)];
    var foldvalue = Number(event.currentTarget.value);
    var scale = foldvalue - obj.userData.oldscale;

    for (var j=0; j<obj.userData.axes.length; j++) {
        rotateVertices(obj, j, scale);
    }
    update(obj);
    obj.userData.oldscale += scale;
    lookAtBarycenter(obj);
}

function lookAtBarycenter(obj){
    control.target = barycenter(obj);
}

function barycenter(obj) {
    var center = new THREE.Vector3(0,0,0);
    var points = obj.userData.points;
    for (var i=0; i<points.length; i++){
        center.add(points[i].vector);
    }
    center.divideScalar(points.length);
    return center;
}

function rotateVertices(obj, edge, scale) {
    var axes = obj.userData.axes;
    var subtrees = obj.userData.subtrees;
    var points = obj.userData.points;
    var angles = obj.userData.angles;
    if (edge < axes.length){
        for (var j=0; j<subtrees[edge].length; j++){
            var rotP = rotate(points[subtrees[edge][j]].vector, points[axes[edge][0]].vector,points[axes[edge][1]].vector, scale * (Math.PI - angles[edge]));
            points[subtrees[edge][j]].set(rotP[0],rotP[1],rotP[2]);
        }
    }
}

function update(obj) {
   updateFacesPosition(obj);
   updateEdgesPosition(obj);
}

if (foldables.length) {
    var settings = document.getElementById('settings_3');
    var foldDiv = document.createElement('div');
    foldDiv.id = 'fold_3';
    var title = document.createElement('strong');
    title.innerHTML = 'Fold';
    foldDiv.appendChild(title);
    foldDiv.className = 'group';
    for (var i=0; i<foldables.length; i++) {
        var range = document.createElement('input');
        range.type = 'range';
        range.min = 0;
        range.max = 1;
        range.value = 0;
        range.step = 0.001;
        range.name = String(i);
        range.oninput = fold;
        foldDiv.appendChild(range);
    }
    lookAtBarycenter(foldables[0]);
    settings.insertBefore(foldDiv,settings.childNodes[0]);
}

    
// ---------------------- EXPLOSION ------------------------------------------------
// ---------------------------------------------------------------------------------

if (explodableModel) {
    for (var i=0; i<scene.children.length; i++) {
        obj = scene.children[i];
        if ( obj.userData.explodable ) {
            computeCentroid(obj);
        }
    }
    document.getElementById('explodeRange_3').oninput = triggerExplode;
    document.getElementById('explodeCheckbox_3').onchange = triggerAutomaticExplode;
    document.getElementById('explodingSpeedRange_3').oninput = setExplodingSpeed;
    explode(0.000001);
}

function computeCentroid(obj) {
    centroid = new THREE.Vector3();
    obj.userData.points.forEach(function(pmpoint) {
        centroid.add(pmpoint.vector);			
    });
    centroid.divideScalar(obj.userData.points.length);
    obj.userData.centroid = centroid;
}

function explode(factor) {
    for (var i=0; i<scene.children.length; i++) {
        var obj = scene.children[i];
        if (obj.userData.hasOwnProperty("centroid")) { 
            var c = obj.userData.centroid;
            obj.position.set(c.x*factor, c.y*factor, c.z*factor);
        }
    }	
}

function triggerExplode(event){
    explodeScale = Number(event.currentTarget.value);
    explode(explodeScale);
}

function setExplodingSpeed(event){
    explodingSpeed = Number(event.currentTarget.value);
}

function triggerAutomaticExplode(event){
    if (event.currentTarget.checked){
        startExploding();
    } else {
        clearIntervals();
    }	
}

function startExploding(){
    intervals.push(setInterval(explodingInterval, 25));
}


function explodingInterval(){
    explodeScale += explodingSpeed;
    if (explodeScale <= 6){ 
        explode(explodeScale);
    }
    else{
        explode(6);
        explodeScale = 6;
        clearIntervals();
        timeouts.push(setTimeout(startUnexploding, 3000));
    }
    document.getElementById('explodeRange_3').value = explodeScale;
}


function startUnexploding(){
    intervals.push(setInterval(unexplodingInterval, 25));
}

function unexplodingInterval(){
    explodeScale -= explodingSpeed;
    if (explodeScale >= 0){	
        explode(explodeScale);
    }
    else {
        explode(0);
        explodeScale = 0;
        clearIntervals();
        timeouts.push(setTimeout(startExploding, 3000));
    }
    document.getElementById('explodeRange_3').value = explodeScale;
}

function clearIntervals(){
    intervals.forEach(function(interval){
        clearInterval(interval);
    });
    intervals = [];
    timeouts.forEach(function(timeout){
        clearTimeout(timeout);
    });
    timeouts = [];
}

// ---------------------- DISPLAY --------------------------------------------------
// ---------------------------------------------------------------------------------

const objectTypeInnerHTMLs = { points: "Points", pointlabels: "Point labels", lines: "Edges", edgelabels: "Edge labels", faces: "Faces", arrowheads: "Arrow heads" };
const objectTypeVisible = {};
Object.assign(objectTypeVisible,modelContains);
const sortedObjectTypeKeys = Object.keys(objectTypeInnerHTMLs).sort();
const shownObjectTypesList = document.getElementById('shownObjectTypesList_3');

function setVisibility(bool,objname) {
    for (var i=0; i<scene.children.length; i++){
        var obj = scene.children[i].getObjectByName(objname);
        if (obj) {
            obj.visible = bool;
        }
    }
}

function toggleObjectTypeVisibility(event){
    var name = event.currentTarget.name;
    var checked = event.currentTarget.checked;
    objectTypeVisible[name] = checked;
    if (name == "faces") {
        setVisibility(checked,"frontfaces");
        setVisibility(checked,"backfaces");
    } else {
        setVisibility(checked,name);
    }
}

for (var i=0; i<sortedObjectTypeKeys.length; i++){
    var key = sortedObjectTypeKeys[i];
    if (modelContains[key]) {
        var objTypeNode = document.createElement('span');
        objTypeNode.innerHTML = objectTypeInnerHTMLs[key] + '<br>';
        var checkbox = document.createElement('input');
        checkbox.type = 'checkbox';
        checkbox.checked = true;
        checkbox.name = key;
        checkbox.onchange = toggleObjectTypeVisibility;
        shownObjectTypesList.appendChild(checkbox);
        shownObjectTypesList.appendChild(objTypeNode);
    }
}

// ------------------------------------------------------

function toggleObjectVisibility(event){
    var nr = Number(event.currentTarget.name);
    scene.children[nr].visible = event.currentTarget.checked;
}

// append checkboxes for displaying or hiding objects
var shownObjectsList = document.getElementById('shownObjectsList_3');
for (var i=0; i<scene.children.length; i++){
    obj = scene.children[i];
    var objNode = document.createElement('span');
    objNode.innerHTML = obj.name + '<br>';
    var checkbox = document.createElement('input');
    checkbox.type = 'checkbox';
    checkbox.checked = true;
    checkbox.name = String(i);
    checkbox.onchange = toggleObjectVisibility;
    shownObjectsList.appendChild(checkbox);
    shownObjectsList.appendChild(objNode);
}

// ---------------------- SVG ------------------------------------------------------
// ---------------------------------------------------------------------------------

function takeSvgScreenshot() {
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(false,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(false,"edgelabels");
    }
    svgRenderer.render(scene,camera);
    svgElement = XMLS.serializeToString(svgRenderer.domElement);
    
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(true,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(true,"edgelabels");
    }

    if (document.getElementById('tab_3').checked){
        //show in new tab
        var myWindow = window.open("","");
        myWindow.document.body.innerHTML = svgElement;
    } else{
        // download svg file 
        download("screenshot.svg", svgElement);
    }
}

function download(filename, text) {
    var element = document.createElement('a');
    element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
    element.setAttribute('download', filename);

    element.style.display = 'none';
    document.body.appendChild(element);

    element.click();

    document.body.removeChild(element);
}


document.getElementById('transparencyRange_3').oninput = changeTransparency;
document.getElementById('changeRotationX_3').onchange = changeRotationX;
document.getElementById('changeRotationY_3').onchange = changeRotationY;
document.getElementById('changeRotationZ_3').onchange = changeRotationZ;
document.getElementById('resetButton_3').onclick = resetScene;
document.getElementById('rotationSpeedRange_3').oninput = changeRotationSpeedFactor;
document.getElementById('takeScreenshot_3').onclick = takeSvgScreenshot;
document.getElementById('showSettingsButton_3').onclick = showSettings;
document.getElementById('hideSettingsButton_3').onclick = hideSettings;


// ------------------ SHORTCUTS --------------------------------------------
// -------------------------------------------------------------------------

/**
 * http://www.openjs.com/scripts/events/keyboard_shortcuts/
 * Version : 2.01.B
 * By Binny V A
 * License : BSD
 */
shortcut = {
	'all_shortcuts':{},//All the shortcuts are stored in this array
	'add': function(shortcut_combination,callback,opt) {
		//Provide a set of default options
		var default_options = {
			'type':'keydown',
			'propagate':false,
			'disable_in_input':false,
			'target':document,
			'keycode':false
		}
		if(!opt) opt = default_options;
		else {
			for(var dfo in default_options) {
				if(typeof opt[dfo] == 'undefined') opt[dfo] = default_options[dfo];
			}
		}

		var ele = opt.target;
		if(typeof opt.target == 'string') ele = document.getElementById(opt.target);
		var ths = this;
		shortcut_combination = shortcut_combination.toLowerCase();

		//The function to be called at keypress
		var func = function(e) {
			e = e || window.event;
			
			if(opt['disable_in_input']) { //Don't enable shortcut keys in Input, Textarea fields
				var element;
				if(e.target) element=e.target;
				else if(e.srcElement) element=e.srcElement;
				if(element.nodeType==3) element=element.parentNode;

				if(element.tagName == 'INPUT' || element.tagName == 'TEXTAREA') return;
			}
	
			//Find Which key is pressed
			if (e.keyCode) code = e.keyCode;
			else if (e.which) code = e.which;
			var character = String.fromCharCode(code).toLowerCase();
			
			if(code == 188) character=","; //If the user presses , when the type is onkeydown
			if(code == 190) character="."; //If the user presses , when the type is onkeydown

			var keys = shortcut_combination.split("+");
			//Key Pressed - counts the number of valid keypresses - if it is same as the number of keys, the shortcut function is invoked
			var kp = 0;
			
			//Work around for stupid Shift key bug created by using lowercase - as a result the shift+num combination was broken
			var shift_nums = {
				"`":"~",
				"1":"!",
				"2":"@",
				"3":"#",
				"4":"$",
				"5":"%",
				"6":"^",
				"7":"&",
				"8":"*",
				"9":"(",
				"0":")",
				"-":"_",
				"=":"+",
				";":":",
				"'":"\"",
				",":"<",
				".":">",
				"/":"?",
				"\\":"|"
			}
			//Special Keys - and their codes
			var special_keys = {
				'esc':27,
				'escape':27,
				'tab':9,
				'space':32,
				'return':13,
				'enter':13,
				'backspace':8,
	
				'scrolllock':145,
				'scroll_lock':145,
				'scroll':145,
				'capslock':20,
				'caps_lock':20,
				'caps':20,
				'numlock':144,
				'num_lock':144,
				'num':144,
				
				'pause':19,
				'break':19,
				
				'insert':45,
				'home':36,
				'delete':46,
				'end':35,
				
				'pageup':33,
				'page_up':33,
				'pu':33,
	
				'pagedown':34,
				'page_down':34,
				'pd':34,
	
				'left':37,
				'up':38,
				'right':39,
				'down':40,
	
				'f1':112,
				'f2':113,
				'f3':114,
				'f4':115,
				'f5':116,
				'f6':117,
				'f7':118,
				'f8':119,
				'f9':120,
				'f10':121,
				'f11':122,
				'f12':123
			}
	
			var modifiers = { 
				shift: { wanted:false, pressed:false},
				ctrl : { wanted:false, pressed:false},
				alt  : { wanted:false, pressed:false},
				meta : { wanted:false, pressed:false}	//Meta is Mac specific
			};
                        
			if(e.ctrlKey)	modifiers.ctrl.pressed = true;
			if(e.shiftKey)	modifiers.shift.pressed = true;
			if(e.altKey)	modifiers.alt.pressed = true;
			if(e.metaKey)   modifiers.meta.pressed = true;
                        
			for(var i=0; k=keys[i],i<keys.length; i++) {
				//Modifiers
				if(k == 'ctrl' || k == 'control') {
					kp++;
					modifiers.ctrl.wanted = true;

				} else if(k == 'shift') {
					kp++;
					modifiers.shift.wanted = true;

				} else if(k == 'alt') {
					kp++;
					modifiers.alt.wanted = true;
				} else if(k == 'meta') {
					kp++;
					modifiers.meta.wanted = true;
				} else if(k.length > 1) { //If it is a special key
					if(special_keys[k] == code) kp++;
					
				} else if(opt['keycode']) {
					if(opt['keycode'] == code) kp++;

				} else { //The special keys did not match
					if(character == k) kp++;
					else {
						if(shift_nums[character] && e.shiftKey) { //Stupid Shift key bug created by using lowercase
							character = shift_nums[character]; 
							if(character == k) kp++;
						}
					}
				}
			}
			
			if(kp == keys.length && 
						modifiers.ctrl.pressed == modifiers.ctrl.wanted &&
						modifiers.shift.pressed == modifiers.shift.wanted &&
						modifiers.alt.pressed == modifiers.alt.wanted &&
						modifiers.meta.pressed == modifiers.meta.wanted) {
				callback(e);
	
				if(!opt['propagate']) { //Stop the event
					//e.cancelBubble is supported by IE - this will kill the bubbling process.
					e.cancelBubble = true;
					e.returnValue = false;
	
					//e.stopPropagation works in Firefox.
					if (e.stopPropagation) {
						e.stopPropagation();
						e.preventDefault();
					}
					return false;
				}
			}
		}
		this.all_shortcuts[shortcut_combination] = {
			'callback':func, 
			'target':ele, 
			'event': opt['type']
		};
		//Attach the function with the event
		if(ele.addEventListener) ele.addEventListener(opt['type'], func, false);
		else if(ele.attachEvent) ele.attachEvent('on'+opt['type'], func);
		else ele['on'+opt['type']] = func;
	},

	//Remove the shortcut - just specify the shortcut and I will remove the binding
	'remove':function(shortcut_combination) {
		shortcut_combination = shortcut_combination.toLowerCase();
		var binding = this.all_shortcuts[shortcut_combination];
		delete(this.all_shortcuts[shortcut_combination])
		if(!binding) return;
		var type = binding['event'];
		var ele = binding['target'];
		var callback = binding['callback'];

		if(ele.detachEvent) ele.detachEvent('on'+type, callback);
		else if(ele.removeEventListener) ele.removeEventListener(type, callback, false);
		else ele['on'+type] = false;
	}
}

shortcut.add("Alt+Left",function() {
	var event = new Event('click');
	if (settingsShown){
		document.getElementById('hideSettingsButton_3').dispatchEvent(event);
	} else {
		document.getElementById('showSettingsButton_3').dispatchEvent(event);
	}
});


// COMMON_CODE_BLOCK_END

});});
      </script>
   </body>
</html>
</HTML>
Exporting the frame and the tropical curve to ''%%OpenSCAD%%'' can be done using the command ''%%generateSCADFileForCurve%%''. It requires two bounded polyhedral complexes and a filename. If the file already exists, it will be overwritten:

<code perl>
> $filename = "foo.scad";
> generateSCADFileForCurve($tropicalSurfaceFrame,$tropicalCurve,$filename);
</code>
==== II.3 Solidifying a tropical curve in OpenSCAD and exporting it for 3D-printing ====

To solidify the curve into a three-dimensional model, open the exported file in ''%%OpenSCAD%%''. Here is the preview of the solidified tropical sextic curve (with frame) constructed above:

{{:tutorials:release:4.12:hands_on_tropical_geometry:OpenSCADCurve.png|OpenSCADCurve.png}}

As before, the top of the ''%%OpenSCAD%%'' file contains parameters which control the thickness of the model amongst other things:

<code java>
colorFrame = "SlateGray"; // color of frame
colorCurve = [0.83,.15,0.27]; // color of curve
scalingFactor = 1; // global scaling factor
thicknessFrame = 0.05; // thickness of frame
thicknessCurve = 0.05; // thickness of curve
</code>
  - ''%%colorFrame%%'' and ''%%colorCurve%%'' are the colors of the surface in the render. They can be specified either by an HTML color name or by RGB value.
  - ''%%scalingFactor%%'' is a factor by which the polyhedral complex is scaled. It can be used to scale the model to the desired size.
  - ''%%thicknessFrame%%'' and ''%%thicknessCurve%%'' control the thickness of the frame and curve. ''%%OpenSCAD%%'' solidifies both by replacing every vertex with a ball with diameter equal to the specified radius and taking convex hulls.

===== III. Modelling Tropical Curves on Tropical Surfaces =====

==== III.1 Constructing a curve and surface in polymake ====

The previous section showed an easy way to construct a tropical curve lying on a tropical surface in ''%%polymake%%'': start with the surface and construct the curve by intersecting it with another surface. However, as mentioned before, this may not always possible or easy to do. One option that always works is to construct the curve manually by specifying its vertices and edges:

<code perl>
> $linearEquation = toTropicalPolynomial("max(y,z,w)",qw(w x y z));
> $tropicalSurfaceTmp = new tropical::Hypersurface<Max>(POLYNOMIAL=>$linearEquation);
> $tropicalSurface = new fan::PolyhedralComplex(
>                      POINTS=>$tropicalSurfaceTmp->VERTICES->minor(All,~[1]),
>                      INPUT_POLYTOPES=>$tropicalSurfaceTmp->MAXIMAL_POLYTOPES,
>                      INPUT_LINEALITY=>$tropicalSurfaceTmp->LINEALITY_SPACE->minor(All,~[1]));
>         
> $tropicalCurveVertices = 
>    [[1,0,0,0],[1,-8,0,0],[1,-8,-6,0],[1,12,0,0],[0,0,-1,0],[1,-6,-6,0],[1,-11,-3,0],
>     [1,-11,-6,0],[0,-1,0,0],[1,-12,-7,0],[1,4,0,-2],[1,10,0,-2],[1,8,0,-6],[0,0,0,-1],
>     [0,1,1,1],[1,-4,6,6],[1,-4,5,5],[1,-3,5,5],[1,-5,4,4],[1,-3,3,3],[1,-5,3,3]];
> $tropicalCurveEdges = 
>   [[3,4],[0,5],[2,5],[4,5],[1,6],[6,7],[6,8],[2,7],[7,9],[8,9],[4,9],[10,11],[3,11],[11,12],
>    [0,10],[10,12],[12,13],[1,13],[14,15],[8,15],[15,16],[14,17],[16,17],[16,18],[17,19],[8,18],
>    [18,20],[0,19],[19,20],[1,20],[3,14]];
> $tropicalCurve = new fan::PolyhedralComplex(
>                    POINTS=>$tropicalCurveVertices,
>                    INPUT_POLYTOPES=>$tropicalCurveEdges);
</code>
(for a preview of the constructed tropical plane with a tropical quartic curve see below)

==== III.2 Bounding a tropical surface in polymake and exporting it to OpenSCAD ====

Constructing a bounding box is easiest done using the command ''%%generateBoundingBox%%'' as before:

<code perl>
> $boundingBox = generateBoundingBox($tropicalCurve);
> $tropicalSurfaceBounded = intersectWithBoundingBox($tropicalSurface,$boundingBox);
> $tropicalCurveBounded = intersectWithBoundingBox($tropicalCurve,$boundingBox);
> compose($tropicalSurfaceBounded->VISUAL,$tropicalCurveBounded->VISUAL);
</code>
<HTML>
<!--
polymake for ren
Fri Feb 25 14:53:24 2022
pcom:
-->


<html>
   <head>
      <meta charset=utf-8>
      <title>pcom:</title>
      <style>
/*
// COMMON_CODE_BLOCK_BEGIN
*/
         html {overflow: scroll;}
         strong{font-size: 18px;}
         canvas { z-index: 8; }
         input[type='radio'] {margin-left:0;}
         input[type='checkbox'] {margin-right:7px; margin-left: 0px; padding-left:0px;}
         .group{padding-bottom: 15px;}
         .settings * {z-index: 11; }
         .settings{z-index: 10; font-family: Arial, Helvetica, sans-serif; margin-left: 30px; visibility: hidden; width: 14em; height: 96%; border: solid 1px silver; padding: 2px; overflow-y: scroll; box-sizing: border-box; background-color: white; position: absolute;}
         .indented{margin-left: 20px; margin-top: 10px; padding-bottom: 0px;} 
         .shownObjectsList{overflow: auto; max-width: 150px; max-height: 150px;}
         .showSettingsButton{visibility: visible; z-index: 12; position: absolute }
         .hideSettingsButton{visibility: hidden; z-index: 12; position: absolute; opacity: 0.5}
         button{margin-left: 0; margin-top: 10px}
         img{cursor: pointer;}
         .suboption{padding-top: 15px;}
         #model90149503874 { width: 100%; height: 100%; }
         .threejs_container { width: 100%; height: 75vh;}
         .settings{max-height: 74vh} 
         input[type=range] {
           -webkit-appearance: none;
           padding:0; 
           width:90%; 
           margin-left: auto;
           margin-right: auto;
           margin-top: 15px;
           margin-bottom: 15px;
           display: block;	
         }
         input[type=range]:focus {
           outline: none;
         }
         input[type=range]::-webkit-slider-runnable-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-webkit-slider-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
           -webkit-appearance: none;
           margin-top: -5px;
         }
         input[type=range]:focus::-webkit-slider-runnable-track {
           background: #E3E3E3;
         }
         input[type=range]::-moz-range-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           box-shadow: 0px 0px 0px #000000;
           background: #E3E3E3;
           border-radius: 0px;
           border: 0px solid #000000;
         }
         input[type=range]::-moz-range-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]::-ms-track {
           height: 4px;
           cursor: pointer;
           animate: 0.2s;
           background: transparent;
           border-color: transparent;
           color: transparent;
         }
         input[type=range]::-ms-fill-lower {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-fill-upper {
           background: #E3E3E3;
           border: 0px solid #000000;
           border-radius: 0px;
           box-shadow: 0px 0px 0px #000000;
         }
         input[type=range]::-ms-thumb {
           box-shadow: 1px 1px 2px #B8B8B8;
           border: 1px solid #ABABAB;
           height: 13px;
           width: 25px;
           border-radius: 20px;
           background: #E0E0E0;
           cursor: pointer;
         }
         input[type=range]:focus::-ms-fill-lower {
           background: #E3E3E3;
         }
         input[type=range]:focus::-ms-fill-upper {
           background: #E3E3E3;
         }
/*
// COMMON_CODE_BLOCK_END
*/
		</style>
   </head>
<body>
   <div class='threejs_container'>
		<div id='settings_4' class='settings'>
			<div class=group id='explode_4'>
				<strong>Explode</strong>
				<input id='explodeRange_4' type='range' min='0.00001' max=6 step=0.01 value=0.00001>
				<div class=indented><input id='explodeCheckbox_4' type='checkbox'>Automatic explosion</div>
				<div class=suboption>Exploding speed</div>
				<input id='explodingSpeedRange_4' type='range' min=0 max=0.5 step=0.001 value=0.05>
			</div>
	
			<div class=group id='transparency_4' class='transparency'>
				<strong>Transparency</strong>
				<input id='transparencyRange_4' type='range' min=0 max=1 step=0.01 value=0>
			</div>
			
			<div class=group id='rotation_4'>
				<strong>Rotation</strong>
				<div class=indented>
					<div><input type='checkbox' id='changeRotationX_4'> x-axis</div>
					<div><input type='checkbox' id='changeRotationY_4'> y-axis</div>
					<div><input type='checkbox' id='changeRotationZ_4'> z-axis</div>
					<button id='resetButton_4'>Reset</button>
				</div>

				<div class=suboption>Rotation speed</div>
				<input id='rotationSpeedRange_4' type='range' min=0 max=5 step=0.01 value=2>
			</div>


			<div class=group id='display_4'>
				<strong>Display</strong>
				<div class=indented>
					<div id='shownObjectTypesList_4' class='shownObjectsList'></div>
				</div>
				<div class=suboption>Objects</div>
				<div class=indented>
				   <div id='shownObjectsList_4' class='shownObjectsList'></div>
				</div>
			</div>
         
         <div class=group id='camera_4'>
            <strong>Camera</strong>
            <div class=indented>
               <form>
                  <select id="cameraType_4">
                     <option value='perspective' selected> Perspective<br></option>
                     <option value='orthographic' > Orthographic<br></option>
                  </select>
               </form>
            </div>
         </div>

			<div class=group id='svg_4'>
				<strong>SVG</strong>
				<div class=indented>
					<form>
						<input type="radio" name='screenshotMode' value='download' id='download_4' checked> Download<br>
						<input type="radio" name='screenshotMode' value='tab' id='tab_4' > New tab<br>
					</form>
					<button id='takeScreenshot_4'>Screenshot</button>
				</div>
			</div>

		</div>	<!-- end of settings -->
		<img id='hideSettingsButton_4' class='hideSettingsButton' src='/kernelspecs/r118/polymake/close.svg' width=20px">
		<img id='showSettingsButton_4' class='showSettingsButton' src='/kernelspecs/r118/polymake/menu.svg' width=20px">
<div id="model90149503874"></div>
</div>
   <script>
    requirejs.config({
      paths: {
        three: '/kernelspecs/r118/polymake/three',
        TrackballControls: '/kernelspecs/r118/polymake/TrackballControls',
        OrbitControls: '/kernelspecs/r118/polymake/OrbitControls',
        Projector: '/kernelspecs/r118/polymake/Projector',
        SVGRenderer: '/kernelspecs/r118/polymake/SVGRenderer',
        WEBGL: '/kernelspecs/r118/polymake/WebGL',
      },
      shim: {
        'three': { exports: 'THREE'},
        'SVGRenderer': { deps: [ 'three' ], exports: 'THREE.SVGRenderer' },
        'WEBGL': { deps: [ 'three' ], exports: 'THREE.WEBGL' },
        'Projector': { deps: [ 'three' ], exports: 'THREE.Projector' },
        'TrackballControls': { deps: [ 'three' ], exports: 'THREE.TrackballControls' },
        'OrbitControls': { deps: [ 'three' ], exports: 'THREE.OrbitControls' },
      }
    });
    
    require(['three'],function(THREE){
        window.THREE = THREE;
      require(['TrackballControls', 'OrbitControls', 'Projector', 'SVGRenderer', 'WEBGL'],
               function(TrackballControls, OrbitControls, Projector, SVGRenderer, WEBGL) {
    THREE.TrackballControls = TrackballControls;
    THREE.OrbitControls = OrbitControls;
    THREE.Projector = Projector;
    THREE.SVGRenderer = SVGRenderer;
    THREE.WEBGL = WEBGL;

// COMMON_CODE_BLOCK_BEGIN

const intervalLength = 25; // for automatic animations
const explodableModel = true; 
const modelContains = { points: false, pointlabels: false, lines: false, edgelabels: false, faces: false, arrowheads: false };
const foldables = [];

var three = document.getElementById("model90149503874");
var scene = new THREE.Scene();
var renderer = new THREE.WebGLRenderer( { antialias: true } );
var svgRenderer = new THREE.SVGRenderer( { antialias: true } );
renderer.setPixelRatio( window.devicePixelRatio );
renderer.setClearColor(0xFFFFFF, 1);
svgRenderer.setClearColor(0xFFFFFF, 1);
three.appendChild(renderer.domElement);

var frustumSize = 4;
var cameras = [new THREE.PerspectiveCamera(75, 1, 0.1, 1000), new THREE.OrthographicCamera()];
cameras.forEach(function(cam) {
    cam.position.set(0, 0, 5);
    cam.lookAt(0, 0, 0);  
    cam.up.set(0, 1, 0);         
});
var controls = [new THREE.TrackballControls(cameras[0], three), new THREE.OrbitControls(cameras[1], three)];
var camera, control;

controls[0].zoomSpeed = 0.2;
controls[0].rotateSpeed = 4;


// class to allow move points together with labels and spheres
var PMPoint = function (x,y,z) {
   this.vector = new THREE.Vector3(x,y,z);
   this.sprite = null;
   this.sphere = null;
}
PMPoint.prototype.addLabel = function(labelsprite) {
   this.sprite = labelsprite;
   this.sprite.position.copy(this.vector);
}
PMPoint.prototype.addSphere = function(spheremesh) {
   this.sphere = spheremesh;
   this.sphere.position.copy(this.vector);
}
PMPoint.prototype.set = function(x,y,z) {
   this.vector.set(x,y,z);
   if (this.sprite) {
      this.sprite.position.copy(this.vector);
   }
   if (this.sphere) {
      this.sphere.position.copy(this.vector);
   }
}
PMPoint.prototype.radius = function() {
   if (this.sphere) {
      return this.sphere.geometry.parameters.radius;
   } else {
      return 0;
   }
};
// select the target node
var target = document.querySelector('#model90149503874');

// create an observer instance
var observer = new MutationObserver(function(mutations) {
   mutations.forEach(function(mutation) {
      if (mutation.removedNodes && mutation.removedNodes.length > 0) {
         cancelAnimationFrame(renderId);
         observer.disconnect();
         console.log("cancelled frame "+renderId);
      }
   });
});

// configuration of the observer:
var config = { childList: true, characterData: true }

// pass in the target node, as well as the observer options
while (target) {
   if (target.className=="output") {
      observer.observe(target, config);
      break;
   }
   target = target.parentNode;
}

// COMMON_CODE_BLOCK_END

var obj0 = new THREE.Object3D();
obj0.name = "unnamed__1";
obj0.userData.explodable = 1;
obj0.userData.points = [];
obj0.userData.points.push(new PMPoint(13, -8, 0));
obj0.userData.points.push(new PMPoint(13, 0, 0));
obj0.userData.points.push(new PMPoint(-13, 0, 0));
obj0.userData.points.push(new PMPoint(-13, -8, 0));

obj0.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj0.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj0.userData.pointlabels = ["0", "1", "2", "3"];
obj0.userData.edgeindices = [0, 1, 1, 2, 0, 3, 2, 3];
   <!-- Edge style -->
obj0.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj0.userData.facets = [[0, 1, 2, 3]];
   <!-- Facet style -->
obj0.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj0);
scene.add(obj0);

var obj1 = new THREE.Object3D();
obj1.name = "unnamed__2";
obj1.userData.explodable = 1;
obj1.userData.points = [];
obj1.userData.points.push(new PMPoint(13, 0, 0));
obj1.userData.points.push(new PMPoint(-13, 0, 0));
obj1.userData.points.push(new PMPoint(13, 0, -7));
obj1.userData.points.push(new PMPoint(-13, 0, -7));

obj1.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj1.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj1.userData.pointlabels = ["1", "2", "4", "5"];
obj1.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj1.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj1.userData.facets = [[2, 0, 1, 3]];
   <!-- Facet style -->
obj1.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj1);
scene.add(obj1);

var obj2 = new THREE.Object3D();
obj2.name = "unnamed__3";
obj2.userData.explodable = 1;
obj2.userData.points = [];
obj2.userData.points.push(new PMPoint(13, 0, 0));
obj2.userData.points.push(new PMPoint(-13, 0, 0));
obj2.userData.points.push(new PMPoint(13, 7, 7));
obj2.userData.points.push(new PMPoint(-13, 7, 7));

obj2.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj2.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj2.userData.pointlabels = ["1", "2", "6", "7"];
obj2.userData.edgeindices = [0, 1, 0, 2, 1, 3, 2, 3];
   <!-- Edge style -->
obj2.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
obj2.userData.facets = [[0, 2, 3, 1]];
   <!-- Facet style -->
obj2.userData.facetmaterial = new THREE.MeshBasicMaterial( { color: 0x77EC9E, depthFunc: THREE.LessDepth, depthWrite: false, opacity: 1, polygonOffset: true, polygonOffsetFactor: 1, polygonOffsetUnits: 0.5, side: THREE.DoubleSide, transparent: true } );
init_object(obj2);
scene.add(obj2);

var obj3 = new THREE.Object3D();
obj3.name = "unnamed__4";
obj3.userData.explodable = 1;
obj3.userData.points = [];
obj3.userData.points.push(new PMPoint(12, 0, 0));
obj3.userData.points.push(new PMPoint(12, -8, 0));

obj3.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj3.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj3.userData.pointlabels = ["0", "1"];
obj3.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj3.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj3);
scene.add(obj3);

var obj4 = new THREE.Object3D();
obj4.name = "unnamed__5";
obj4.userData.explodable = 1;
obj4.userData.points = [];
obj4.userData.points.push(new PMPoint(-6, -6, 0));
obj4.userData.points.push(new PMPoint(0, 0, 0));

obj4.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj4.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj4.userData.pointlabels = ["2", "3"];
obj4.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj4.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj4);
scene.add(obj4);

var obj5 = new THREE.Object3D();
obj5.name = "unnamed__6";
obj5.userData.explodable = 1;
obj5.userData.points = [];
obj5.userData.points.push(new PMPoint(-6, -6, 0));
obj5.userData.points.push(new PMPoint(-8, -6, 0));

obj5.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj5.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj5.userData.pointlabels = ["2", "4"];
obj5.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj5.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj5);
scene.add(obj5);

var obj6 = new THREE.Object3D();
obj6.name = "unnamed__7";
obj6.userData.explodable = 1;
obj6.userData.points = [];
obj6.userData.points.push(new PMPoint(-6, -6, 0));
obj6.userData.points.push(new PMPoint(-6, -8, 0));

obj6.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj6.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj6.userData.pointlabels = ["2", "5"];
obj6.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj6.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj6);
scene.add(obj6);

var obj7 = new THREE.Object3D();
obj7.name = "unnamed__8";
obj7.userData.explodable = 1;
obj7.userData.points = [];
obj7.userData.points.push(new PMPoint(-8, 0, 0));
obj7.userData.points.push(new PMPoint(-11, -3, 0));

obj7.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj7.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj7.userData.pointlabels = ["6", "7"];
obj7.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj7.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj7);
scene.add(obj7);

var obj8 = new THREE.Object3D();
obj8.name = "unnamed__9";
obj8.userData.explodable = 1;
obj8.userData.points = [];
obj8.userData.points.push(new PMPoint(-11, -3, 0));
obj8.userData.points.push(new PMPoint(-11, -6, 0));

obj8.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj8.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj8.userData.pointlabels = ["7", "8"];
obj8.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj8.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj8);
scene.add(obj8);

var obj9 = new THREE.Object3D();
obj9.name = "unnamed__10";
obj9.userData.explodable = 1;
obj9.userData.points = [];
obj9.userData.points.push(new PMPoint(-11, -3, 0));
obj9.userData.points.push(new PMPoint(-13, -3, 0));

obj9.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj9.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj9.userData.pointlabels = ["7", "9"];
obj9.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj9.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj9);
scene.add(obj9);

var obj10 = new THREE.Object3D();
obj10.name = "unnamed__11";
obj10.userData.explodable = 1;
obj10.userData.points = [];
obj10.userData.points.push(new PMPoint(-8, -6, 0));
obj10.userData.points.push(new PMPoint(-11, -6, 0));

obj10.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj10.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj10.userData.pointlabels = ["4", "8"];
obj10.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj10.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj10);
scene.add(obj10);

var obj11 = new THREE.Object3D();
obj11.name = "unnamed__12";
obj11.userData.explodable = 1;
obj11.userData.points = [];
obj11.userData.points.push(new PMPoint(-11, -6, 0));
obj11.userData.points.push(new PMPoint(-12, -7, 0));

obj11.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj11.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj11.userData.pointlabels = ["8", "10"];
obj11.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj11.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj11);
scene.add(obj11);

var obj12 = new THREE.Object3D();
obj12.name = "unnamed__13";
obj12.userData.explodable = 1;
obj12.userData.points = [];
obj12.userData.points.push(new PMPoint(-12, -7, 0));
obj12.userData.points.push(new PMPoint(-13, -7, 0));

obj12.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj12.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj12.userData.pointlabels = ["10", "11"];
obj12.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj12.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj12);
scene.add(obj12);

var obj13 = new THREE.Object3D();
obj13.name = "unnamed__14";
obj13.userData.explodable = 1;
obj13.userData.points = [];
obj13.userData.points.push(new PMPoint(-12, -7, 0));
obj13.userData.points.push(new PMPoint(-12, -8, 0));

obj13.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj13.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj13.userData.pointlabels = ["10", "12"];
obj13.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj13.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj13);
scene.add(obj13);

var obj14 = new THREE.Object3D();
obj14.name = "unnamed__15";
obj14.userData.explodable = 1;
obj14.userData.points = [];
obj14.userData.points.push(new PMPoint(4, 0, -2));
obj14.userData.points.push(new PMPoint(10, 0, -2));

obj14.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj14.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj14.userData.pointlabels = ["13", "14"];
obj14.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj14.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj14);
scene.add(obj14);

var obj15 = new THREE.Object3D();
obj15.name = "unnamed__16";
obj15.userData.explodable = 1;
obj15.userData.points = [];
obj15.userData.points.push(new PMPoint(12, 0, 0));
obj15.userData.points.push(new PMPoint(10, 0, -2));

obj15.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj15.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj15.userData.pointlabels = ["0", "14"];
obj15.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj15.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj15);
scene.add(obj15);

var obj16 = new THREE.Object3D();
obj16.name = "unnamed__17";
obj16.userData.explodable = 1;
obj16.userData.points = [];
obj16.userData.points.push(new PMPoint(10, 0, -2));
obj16.userData.points.push(new PMPoint(8, 0, -6));

obj16.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj16.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj16.userData.pointlabels = ["14", "15"];
obj16.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj16.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj16);
scene.add(obj16);

var obj17 = new THREE.Object3D();
obj17.name = "unnamed__18";
obj17.userData.explodable = 1;
obj17.userData.points = [];
obj17.userData.points.push(new PMPoint(0, 0, 0));
obj17.userData.points.push(new PMPoint(4, 0, -2));

obj17.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj17.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj17.userData.pointlabels = ["3", "13"];
obj17.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj17.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj17);
scene.add(obj17);

var obj18 = new THREE.Object3D();
obj18.name = "unnamed__19";
obj18.userData.explodable = 1;
obj18.userData.points = [];
obj18.userData.points.push(new PMPoint(4, 0, -2));
obj18.userData.points.push(new PMPoint(8, 0, -6));

obj18.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj18.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj18.userData.pointlabels = ["13", "15"];
obj18.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj18.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj18);
scene.add(obj18);

var obj19 = new THREE.Object3D();
obj19.name = "unnamed__20";
obj19.userData.explodable = 1;
obj19.userData.points = [];
obj19.userData.points.push(new PMPoint(8, 0, -6));
obj19.userData.points.push(new PMPoint(8, 0, -7));

obj19.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj19.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj19.userData.pointlabels = ["15", "16"];
obj19.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj19.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj19);
scene.add(obj19);

var obj20 = new THREE.Object3D();
obj20.name = "unnamed__21";
obj20.userData.explodable = 1;
obj20.userData.points = [];
obj20.userData.points.push(new PMPoint(-8, 0, 0));
obj20.userData.points.push(new PMPoint(-8, 0, -7));

obj20.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj20.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj20.userData.pointlabels = ["6", "17"];
obj20.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj20.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj20);
scene.add(obj20);

var obj21 = new THREE.Object3D();
obj21.name = "unnamed__22";
obj21.userData.explodable = 1;
obj21.userData.points = [];
obj21.userData.points.push(new PMPoint(-4, 6, 6));
obj21.userData.points.push(new PMPoint(-3, 7, 7));

obj21.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj21.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj21.userData.pointlabels = ["18", "19"];
obj21.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj21.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj21);
scene.add(obj21);

var obj22 = new THREE.Object3D();
obj22.name = "unnamed__23";
obj22.userData.explodable = 1;
obj22.userData.points = [];
obj22.userData.points.push(new PMPoint(-4, 6, 6));
obj22.userData.points.push(new PMPoint(-13, 6, 6));

obj22.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj22.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj22.userData.pointlabels = ["18", "20"];
obj22.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj22.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj22);
scene.add(obj22);

var obj23 = new THREE.Object3D();
obj23.name = "unnamed__24";
obj23.userData.explodable = 1;
obj23.userData.points = [];
obj23.userData.points.push(new PMPoint(-4, 6, 6));
obj23.userData.points.push(new PMPoint(-4, 5, 5));

obj23.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj23.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj23.userData.pointlabels = ["18", "21"];
obj23.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj23.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj23);
scene.add(obj23);

var obj24 = new THREE.Object3D();
obj24.name = "unnamed__25";
obj24.userData.explodable = 1;
obj24.userData.points = [];
obj24.userData.points.push(new PMPoint(-3, 5, 5));
obj24.userData.points.push(new PMPoint(-1, 7, 7));

obj24.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj24.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj24.userData.pointlabels = ["22", "23"];
obj24.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj24.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj24);
scene.add(obj24);

var obj25 = new THREE.Object3D();
obj25.name = "unnamed__26";
obj25.userData.explodable = 1;
obj25.userData.points = [];
obj25.userData.points.push(new PMPoint(-4, 5, 5));
obj25.userData.points.push(new PMPoint(-3, 5, 5));

obj25.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj25.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj25.userData.pointlabels = ["21", "22"];
obj25.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj25.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj25);
scene.add(obj25);

var obj26 = new THREE.Object3D();
obj26.name = "unnamed__27";
obj26.userData.explodable = 1;
obj26.userData.points = [];
obj26.userData.points.push(new PMPoint(-4, 5, 5));
obj26.userData.points.push(new PMPoint(-5, 4, 4));

obj26.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj26.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj26.userData.pointlabels = ["21", "24"];
obj26.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj26.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj26);
scene.add(obj26);

var obj27 = new THREE.Object3D();
obj27.name = "unnamed__28";
obj27.userData.explodable = 1;
obj27.userData.points = [];
obj27.userData.points.push(new PMPoint(-3, 5, 5));
obj27.userData.points.push(new PMPoint(-3, 3, 3));

obj27.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj27.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj27.userData.pointlabels = ["22", "25"];
obj27.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj27.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj27);
scene.add(obj27);

var obj28 = new THREE.Object3D();
obj28.name = "unnamed__29";
obj28.userData.explodable = 1;
obj28.userData.points = [];
obj28.userData.points.push(new PMPoint(-5, 4, 4));
obj28.userData.points.push(new PMPoint(-13, 4, 4));

obj28.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj28.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj28.userData.pointlabels = ["24", "26"];
obj28.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj28.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj28);
scene.add(obj28);

var obj29 = new THREE.Object3D();
obj29.name = "unnamed__30";
obj29.userData.explodable = 1;
obj29.userData.points = [];
obj29.userData.points.push(new PMPoint(-5, 4, 4));
obj29.userData.points.push(new PMPoint(-5, 3, 3));

obj29.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj29.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj29.userData.pointlabels = ["24", "27"];
obj29.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj29.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj29);
scene.add(obj29);

var obj30 = new THREE.Object3D();
obj30.name = "unnamed__31";
obj30.userData.explodable = 1;
obj30.userData.points = [];
obj30.userData.points.push(new PMPoint(0, 0, 0));
obj30.userData.points.push(new PMPoint(-3, 3, 3));

obj30.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj30.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj30.userData.pointlabels = ["3", "25"];
obj30.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj30.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj30);
scene.add(obj30);

var obj31 = new THREE.Object3D();
obj31.name = "unnamed__32";
obj31.userData.explodable = 1;
obj31.userData.points = [];
obj31.userData.points.push(new PMPoint(-3, 3, 3));
obj31.userData.points.push(new PMPoint(-5, 3, 3));

obj31.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj31.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj31.userData.pointlabels = ["25", "27"];
obj31.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj31.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj31);
scene.add(obj31);

var obj32 = new THREE.Object3D();
obj32.name = "unnamed__33";
obj32.userData.explodable = 1;
obj32.userData.points = [];
obj32.userData.points.push(new PMPoint(-8, 0, 0));
obj32.userData.points.push(new PMPoint(-5, 3, 3));

obj32.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj32.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj32.userData.pointlabels = ["6", "27"];
obj32.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj32.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj32);
scene.add(obj32);

var obj33 = new THREE.Object3D();
obj33.name = "unnamed__34";
obj33.userData.explodable = 1;
obj33.userData.points = [];
obj33.userData.points.push(new PMPoint(12, 0, 0));
obj33.userData.points.push(new PMPoint(13, 1, 1));

obj33.userData.pointradii = 0.02;
   <!-- Vertex style -->
obj33.userData.pointmaterial = new THREE.MeshBasicMaterial( { color: 0xFF0000, side: THREE.DoubleSide, transparent: false } );
obj33.userData.pointlabels = ["0", "28"];
obj33.userData.edgeindices = [1, 0];
   <!-- Edge style -->
obj33.userData.edgematerial = new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 1.5, transparent: false } );
init_object(obj33);
scene.add(obj33);

// COMMON_CODE_BLOCK_BEGIN
function textSpriteMaterial(message, parameters) {
    if ( parameters === undefined ) parameters = {};
    var fontface = "Helvetica";
    var fontsize = parameters.hasOwnProperty("fontsize") ? parameters["fontsize"] : 15;
    fontsize = fontsize*10;
    var lines = message.split('\\n');
    var size = 512;
    for(var i = 0; i<lines.length; i++){
        var tmp = lines[i].length;
        while(tmp*fontsize > size){
           fontsize--;
        }
    }
    
    var canvas = document.createElement('canvas');
    canvas.width = size;
    canvas.height = size;
    var context = canvas.getContext('2d');
    context.fillStyle = "rgba(255, 255, 255, 0)";
    context.fill();
    context.font = fontsize + "px " + fontface;
    
    // text color
    context.fillStyle = "rgba(0, 0, 0, 1.0)";
     for(var i = 0; i<lines.length; i++){
        context.fillText(lines[i], size/2, size/2+i*fontsize);
     }
    
    // canvas contents will be used for a texture
    var texture = new THREE.Texture(canvas);
    texture.needsUpdate = true;
    
    var spriteMaterial = new THREE.SpriteMaterial({map: texture, depthTest: true, depthWrite: false, polygonOffset: true, polygonOffsetFactor: -1, polygonOffsetUnits: 1 });
    return spriteMaterial;
}


// ---------------------- INITIALIZING OBJECTS--------------------------------------
// ---------------------------------------------------------------------------------

function init_object(obj) {
    if (obj.userData.hasOwnProperty("pointmaterial")) {
        init_points(obj);
        modelContains.points = true;
    }
    if (obj.userData.hasOwnProperty("pointlabels")) {
        init_pointlabels(obj);
        modelContains.pointlabels = true;
    }
    if (obj.userData.hasOwnProperty("edgematerial")) {
        init_lines(obj);
        modelContains.lines = true;
    }
    if (obj.userData.hasOwnProperty("edgelabels")) {
        init_edgelabels(obj);
        modelContains.edgelabels = true;
    }
    if (obj.userData.hasOwnProperty("arrowstyle")) {
        init_arrowheads(obj);
        modelContains.arrowheads = true;
    }
    if (obj.userData.hasOwnProperty("facetmaterial")) {
        init_faces(obj);
        modelContains.faces = true;
    }
}

function init_points(obj) {
    var pointgroup = new THREE.Group();
    pointgroup.name = "points";
    var points = obj.userData.points;
    var radii = obj.userData.pointradii;
    var materials = obj.userData.pointmaterial;
    var geometry,material;
    if (!Array.isArray(radii)) {
        geometry = new THREE.SphereBufferGeometry(radii);  
    }
    if (!Array.isArray(materials)) {
        material = materials;
    }
    for (var i=0; i<points.length; i++) {
        var point = points[i];
        if (Array.isArray(radii)) {
            if (radii[i] == 0) {
                continue;
            }
            geometry = new THREE.SphereBufferGeometry(radii[i]);  
        } 
        if (Array.isArray(materials)) {
            material = materials[i];     
        } 
        var sphere = new THREE.Mesh(geometry, material);
        point.addSphere(sphere);
        pointgroup.add(sphere);
    }
    obj.add(pointgroup);
}

function init_pointlabels(obj) {
    var points = obj.userData.points;
    var labels = obj.userData.pointlabels;
    var pointlabels = new THREE.Group();
    pointlabels.name = "pointlabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<points.length; i++) {
            var point = points[i];
            var spriteMaterial = textSpriteMaterial( labels[i] );
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<points.length; i++) {
            var point = points[i];
	        var sprite = new THREE.Sprite(spriteMaterial);
            point.addLabel(sprite);
            pointlabels.add(sprite);
        }
    }
    obj.add(pointlabels);
}

function init_lines(obj) {
    var edgeindices = obj.userData.edgeindices;
    var points = obj.userData.points;
    var materials = obj.userData.edgematerial;
    var geometry = new THREE.BufferGeometry();
    var bufarr = new Float32Array( obj.userData.edgeindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute( bufarr, 3 );
    var geometry = new THREE.BufferGeometry();
    geometry.setAttribute('position', bufattr);
    if (Array.isArray(materials)) {     
        for (var i=0; i<materials.length; i++) {
            geometry.addGroup(2*i,2,i);
        }
    }
    var lines = new THREE.LineSegments(geometry, materials);
    lines.name = "lines";
    obj.add(lines);
    updateEdgesPosition(obj);
}

function init_edgelabels(obj) {
    var points = obj.userData.points;
    var edgeindices = obj.userData.edgeindices;
    var labels = obj.userData.edgelabels;
    var edgelabels = new THREE.Group();
    edgelabels.name = "edgelabels";
    if (Array.isArray(labels)) {
        for (var i=0; i<edgeindices.length/2; i++) {
            var spriteMaterial = textSpriteMaterial( labels[i] );
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    } else {
        var spriteMaterial = textSpriteMaterial( labels );
        for (var i=0; i<edgeindices.length/2; i++) {
            var sprite = new THREE.Sprite(spriteMaterial);
            sprite.position.copy(new THREE.Vector3().addVectors(points[edgeindices[2*i]].vector,points[edgeindices[2*i+1]].vector).multiplyScalar(0.5));
            edgelabels.add(sprite);
        }
    }
    obj.add(edgelabels);
}

function init_arrowheads(obj) {
    var arrowheads = new THREE.Group();
    arrowheads.name = "arrowheads";
    var arrowstyle = obj.userData.arrowstyle;
    var edgeindices = obj.userData.edgeindices;
    var edgematerials = obj.userData.edgematerial;
    var points = obj.userData.points;
    var material;
    if (!Array.isArray(edgematerials)) {
        material = new THREE.MeshBasicMaterial( {color: edgematerials.color} );
    }

    for (var i=0; i<edgeindices.length; i=i+2) {
        var start = points[edgeindices[i]];
        var end = points[edgeindices[i+1]];
        var dist = start.vector.distanceTo( end.vector ) - start.radius() - end.radius();
        if (dist <= 0) {
            continue;
        }
        var dir = new THREE.Vector3().subVectors(end.vector,start.vector);
        dir.normalize();
        var axis = new THREE.Vector3().set(dir.z,0,-dir.x);
        axis.normalize();
        var radians = Math.acos( dir.y );
        var radius = dist/25;
        var height = dist/5;
        var geometry = new THREE.ConeBufferGeometry(radius,height);
        var position = new THREE.Vector3().addVectors(start.vector,dir.clone().multiplyScalar(start.radius()+dist-height/2));
        if (Array.isArray(edgematerials)) {
            material = new THREE.MeshBasicMaterial( {color: edgematerials[i].color} );
        }
        var cone = new THREE.Mesh( geometry, material );
        cone.quaternion.setFromAxisAngle(axis,radians);;
        cone.position.copy(position);;
        arrowheads.add(cone);
    }
    obj.add(arrowheads);
}

function init_faces(obj) {
    var points = obj.userData.points;
    var facets = obj.userData.facets;
    obj.userData.triangleindices = [];
    for (var i=0; i<facets.length; i++) {
        facet = facets[i];
        for (var t=0; t<facet.length-2; t++) {
            obj.userData.triangleindices.push(facet[0],facet[t+1],facet[t+2]);  
        }
    }
    var bufarr = new Float32Array( obj.userData.triangleindices.length * 3 );
    var bufattr = new THREE.Float32BufferAttribute(bufarr,3);
    
    var materials = obj.userData.facetmaterial;
    var geometry = new THREE.BufferGeometry();
    var frontmaterials = [];
    var backmaterials = [];
    geometry.setAttribute('position',bufattr);
    if (Array.isArray(materials)) {
        var tricount = 0;
        var facet;
        for (var i=0; i<facets.length; i++) {
            facet = facets[i];
            geometry.addGroup(tricount,(facet.length-2)*3,i);
            tricount += (facet.length-2)*3;
        }
        for (var j=0; j<materials.length; j++) {
            var fmat = materials[j].clone()
            fmat.side = THREE.FrontSide;
            frontmaterials.push(fmat);
            var bmat = materials[j].clone()
            bmat.side = THREE.BackSide;
            backmaterials.push(bmat);
            obj.userData.facetmaterial = frontmaterials.concat(backmaterials);
        }
    } else if (materials instanceof THREE.Material) {
        frontmaterials = materials.clone()
        frontmaterials.side = THREE.FrontSide;
        backmaterials = materials.clone()
        backmaterials.side = THREE.BackSide;
        obj.userData.facetmaterial = [frontmaterials, backmaterials];
    }
    // duplicating the object with front and back should avoid transparency issues
    var backmesh = new THREE.Mesh(geometry, backmaterials);
    // meshname is used to show/hide objects
    backmesh.name = "backfaces";
    obj.add(backmesh);
    var frontmesh = new THREE.Mesh(geometry, frontmaterials);
    frontmesh.name = "frontfaces";
    obj.add(frontmesh);
    updateFacesPosition(obj);
}
// //INITIALIZING


function updateFacesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.triangleindices;
    var faces = obj.getObjectByName("frontfaces");
    var ba = faces.geometry.getAttribute("position");
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    faces.geometry.attributes.position.needsUpdate = true;
    
}

function updateEdgesPosition(obj) {
    var points = obj.userData.points;
    var indices = obj.userData.edgeindices;
    var lines = obj.getObjectByName("lines");
    var ba = lines.geometry.getAttribute("position"); 
    for (var i=0; i<indices.length; i++) {
        ba.setXYZ(i, points[indices[i]].vector.x, points[indices[i]].vector.y ,points[indices[i]].vector.z); 
    }
    lines.geometry.attributes.position.needsUpdate = true;
}

function onWindowResize() {
    renderer.setSize( three.clientWidth, three.clientHeight );
    svgRenderer.setSize( three.clientWidth, three.clientHeight );
    updateCamera();
}

function updateCamera() {
    var width = three.clientWidth;
    var height = three.clientHeight;
    var aspect = width / height;
    if (camera.type == "OrthographicCamera") {
        camera.left = frustumSize * aspect / - 2;
        camera.right = frustumSize * aspect / 2;
        camera.top = frustumSize / 2;
        camera.bottom = - frustumSize / 2;
    } else if (camera.type == "PerspectiveCamera") {
        camera.aspect = aspect;
    }
    camera.updateProjectionMatrix();
}

function changeCamera(event) {
    var selindex = event.currentTarget.selectedIndex;
    camera = cameras[selindex];
    control = controls[selindex];
    control.enabled = true; 
    for (var i=0; i<controls.length; i++) {
        if (i!=selindex) {
            controls[i].enabled = false;
        }
    }
    updateCamera();
}

var camtypenode = document.getElementById('cameraType_4');
camtypenode.onchange = changeCamera;
camtypenode.dispatchEvent(new Event('change'));

onWindowResize();
window.addEventListener('resize', onWindowResize);	


var xRotationEnabled = false;
var yRotationEnabled = false;
var zRotationEnabled = false;
var rotationSpeedFactor = 1;
var settingsShown = false;
var labelsShown = true;
var intervals = [];
var timeouts = [];
var explodingSpeed = 0.05;
var explodeScale = 0.000001;
var XMLS = new XMLSerializer();
var svgElement;
var renderId;

var render = function () {

	renderId = requestAnimationFrame(render);

//	comment in for automatic explosion
//	explode(updateFactor());

    var phi = 0.02 * rotationSpeedFactor;

    if (xRotationEnabled) {
        scene.rotation.x += phi;
    }
    if (yRotationEnabled) {
        scene.rotation.y += phi;
    }
    if (zRotationEnabled) {
        scene.rotation.z += phi;
    }

    control.update();
    renderer.render(scene, camera);
};

if ( THREE.WEBGL.isWebGLAvailable() ) {
	render();
} else {
	var warning = WEBGL.getWebGLErrorMessage();
	three.appendChild( warning );
}
    
function changeTransparency() {
    var opacity = 1-Number(event.currentTarget.value);
    for (var i=0; i<scene.children.length; i++) {
        child = scene.children[i];
        if ( child.userData.hasOwnProperty("facetmaterial") ) {
            if (Array.isArray(child.userData.facetmaterial)) {
                for (var j=0; j<child.userData.facetmaterial.length; j++) {
                    child.userData.facetmaterial[j].opacity = opacity;
                }
            } else {
                child.userData.facetmaterial.opacity = opacity;
            }    
        }
    }
}

function changeRotationX(event){
    xRotationEnabled = event.currentTarget.checked;
}	

function changeRotationY(event){
    yRotationEnabled = event.currentTarget.checked;
}	

function changeRotationZ(event){
    zRotationEnabled = event.currentTarget.checked;
}	


function changeRotationSpeedFactor(event){
    rotationSpeedFactor = Number(event.currentTarget.value);
}

function resetScene(){
    scene.rotation.set(0,0,0);
    camera.position.set(0,0,5);
    camera.up.set(0,1,0);
}

function showSettings(event){
    document.getElementById('settings_4').style.visibility = 'visible';
    document.getElementById('showSettingsButton_4').style.visibility = 'hidden';
    document.getElementById('hideSettingsButton_4').style.visibility = 'visible';
    settingsShown = true;
}

function hideSettings(event){
    document.getElementById('settings_4').style.visibility = 'hidden';
    document.getElementById('showSettingsButton_4').style.visibility = 'visible';
    document.getElementById('hideSettingsButton_4').style.visibility = 'hidden';
    settingsShown = false;
}



var pos = 150* Math.PI;

function updateFactor() {
    pos++;
    return Math.sin(.01*pos)+1;
}

// ------------------------ FOLDING ------------------------------------------------
// ---------------------------------------------------------------------------------
// rotate point p around axis defined by points p1 and p2 by given angle
function rotate(p, p1, p2, angle ){   
    angle = -angle;
    var x = p.x, y = p.y, z = p.z, 
    a = p1.x, b = p1.y, c = p1.z, 
    u = p2.x-p1.x, v = p2.y-p1.y, w = p2.z-p1.z;
    var result = [];
    var L = u*u + v*v + w*w;
    var sqrt = Math.sqrt;
    var cos = Math.cos;
    var sin = Math.sin;

    result[0] = ((a*(v*v+w*w)-u*(b*v+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*x*cos(angle)+sqrt(L)*(-c*v+b*w-w*y+v*z)*sin(angle))/L;
    result[1] = ((b*(u*u+w*w)-v*(a*u+c*w-u*x-v*y-w*z))*(1-cos(angle))+L*y*cos(angle)+sqrt(L)*(c*u-a*w+w*x-u*z)*sin(angle))/L;
    result[2] = ((c*(u*u+v*v)-w*(a*u+b*v-u*x-v*y-w*z))*(1-cos(angle))+L*z*cos(angle)+sqrt(L)*(-b*u+a*v-v*x+u*y)*sin(angle))/L;

    return result;
}

var fold = function(event){
    var obj = foldables[Number(event.currentTarget.name)];
    var foldvalue = Number(event.currentTarget.value);
    var scale = foldvalue - obj.userData.oldscale;

    for (var j=0; j<obj.userData.axes.length; j++) {
        rotateVertices(obj, j, scale);
    }
    update(obj);
    obj.userData.oldscale += scale;
    lookAtBarycenter(obj);
}

function lookAtBarycenter(obj){
    control.target = barycenter(obj);
}

function barycenter(obj) {
    var center = new THREE.Vector3(0,0,0);
    var points = obj.userData.points;
    for (var i=0; i<points.length; i++){
        center.add(points[i].vector);
    }
    center.divideScalar(points.length);
    return center;
}

function rotateVertices(obj, edge, scale) {
    var axes = obj.userData.axes;
    var subtrees = obj.userData.subtrees;
    var points = obj.userData.points;
    var angles = obj.userData.angles;
    if (edge < axes.length){
        for (var j=0; j<subtrees[edge].length; j++){
            var rotP = rotate(points[subtrees[edge][j]].vector, points[axes[edge][0]].vector,points[axes[edge][1]].vector, scale * (Math.PI - angles[edge]));
            points[subtrees[edge][j]].set(rotP[0],rotP[1],rotP[2]);
        }
    }
}

function update(obj) {
   updateFacesPosition(obj);
   updateEdgesPosition(obj);
}

if (foldables.length) {
    var settings = document.getElementById('settings_4');
    var foldDiv = document.createElement('div');
    foldDiv.id = 'fold_4';
    var title = document.createElement('strong');
    title.innerHTML = 'Fold';
    foldDiv.appendChild(title);
    foldDiv.className = 'group';
    for (var i=0; i<foldables.length; i++) {
        var range = document.createElement('input');
        range.type = 'range';
        range.min = 0;
        range.max = 1;
        range.value = 0;
        range.step = 0.001;
        range.name = String(i);
        range.oninput = fold;
        foldDiv.appendChild(range);
    }
    lookAtBarycenter(foldables[0]);
    settings.insertBefore(foldDiv,settings.childNodes[0]);
}

    
// ---------------------- EXPLOSION ------------------------------------------------
// ---------------------------------------------------------------------------------

if (explodableModel) {
    for (var i=0; i<scene.children.length; i++) {
        obj = scene.children[i];
        if ( obj.userData.explodable ) {
            computeCentroid(obj);
        }
    }
    document.getElementById('explodeRange_4').oninput = triggerExplode;
    document.getElementById('explodeCheckbox_4').onchange = triggerAutomaticExplode;
    document.getElementById('explodingSpeedRange_4').oninput = setExplodingSpeed;
    explode(0.000001);
}

function computeCentroid(obj) {
    centroid = new THREE.Vector3();
    obj.userData.points.forEach(function(pmpoint) {
        centroid.add(pmpoint.vector);			
    });
    centroid.divideScalar(obj.userData.points.length);
    obj.userData.centroid = centroid;
}

function explode(factor) {
    for (var i=0; i<scene.children.length; i++) {
        var obj = scene.children[i];
        if (obj.userData.hasOwnProperty("centroid")) { 
            var c = obj.userData.centroid;
            obj.position.set(c.x*factor, c.y*factor, c.z*factor);
        }
    }	
}

function triggerExplode(event){
    explodeScale = Number(event.currentTarget.value);
    explode(explodeScale);
}

function setExplodingSpeed(event){
    explodingSpeed = Number(event.currentTarget.value);
}

function triggerAutomaticExplode(event){
    if (event.currentTarget.checked){
        startExploding();
    } else {
        clearIntervals();
    }	
}

function startExploding(){
    intervals.push(setInterval(explodingInterval, 25));
}


function explodingInterval(){
    explodeScale += explodingSpeed;
    if (explodeScale <= 6){ 
        explode(explodeScale);
    }
    else{
        explode(6);
        explodeScale = 6;
        clearIntervals();
        timeouts.push(setTimeout(startUnexploding, 3000));
    }
    document.getElementById('explodeRange_4').value = explodeScale;
}


function startUnexploding(){
    intervals.push(setInterval(unexplodingInterval, 25));
}

function unexplodingInterval(){
    explodeScale -= explodingSpeed;
    if (explodeScale >= 0){	
        explode(explodeScale);
    }
    else {
        explode(0);
        explodeScale = 0;
        clearIntervals();
        timeouts.push(setTimeout(startExploding, 3000));
    }
    document.getElementById('explodeRange_4').value = explodeScale;
}

function clearIntervals(){
    intervals.forEach(function(interval){
        clearInterval(interval);
    });
    intervals = [];
    timeouts.forEach(function(timeout){
        clearTimeout(timeout);
    });
    timeouts = [];
}

// ---------------------- DISPLAY --------------------------------------------------
// ---------------------------------------------------------------------------------

const objectTypeInnerHTMLs = { points: "Points", pointlabels: "Point labels", lines: "Edges", edgelabels: "Edge labels", faces: "Faces", arrowheads: "Arrow heads" };
const objectTypeVisible = {};
Object.assign(objectTypeVisible,modelContains);
const sortedObjectTypeKeys = Object.keys(objectTypeInnerHTMLs).sort();
const shownObjectTypesList = document.getElementById('shownObjectTypesList_4');

function setVisibility(bool,objname) {
    for (var i=0; i<scene.children.length; i++){
        var obj = scene.children[i].getObjectByName(objname);
        if (obj) {
            obj.visible = bool;
        }
    }
}

function toggleObjectTypeVisibility(event){
    var name = event.currentTarget.name;
    var checked = event.currentTarget.checked;
    objectTypeVisible[name] = checked;
    if (name == "faces") {
        setVisibility(checked,"frontfaces");
        setVisibility(checked,"backfaces");
    } else {
        setVisibility(checked,name);
    }
}

for (var i=0; i<sortedObjectTypeKeys.length; i++){
    var key = sortedObjectTypeKeys[i];
    if (modelContains[key]) {
        var objTypeNode = document.createElement('span');
        objTypeNode.innerHTML = objectTypeInnerHTMLs[key] + '<br>';
        var checkbox = document.createElement('input');
        checkbox.type = 'checkbox';
        checkbox.checked = true;
        checkbox.name = key;
        checkbox.onchange = toggleObjectTypeVisibility;
        shownObjectTypesList.appendChild(checkbox);
        shownObjectTypesList.appendChild(objTypeNode);
    }
}

// ------------------------------------------------------

function toggleObjectVisibility(event){
    var nr = Number(event.currentTarget.name);
    scene.children[nr].visible = event.currentTarget.checked;
}

// append checkboxes for displaying or hiding objects
var shownObjectsList = document.getElementById('shownObjectsList_4');
for (var i=0; i<scene.children.length; i++){
    obj = scene.children[i];
    var objNode = document.createElement('span');
    objNode.innerHTML = obj.name + '<br>';
    var checkbox = document.createElement('input');
    checkbox.type = 'checkbox';
    checkbox.checked = true;
    checkbox.name = String(i);
    checkbox.onchange = toggleObjectVisibility;
    shownObjectsList.appendChild(checkbox);
    shownObjectsList.appendChild(objNode);
}

// ---------------------- SVG ------------------------------------------------------
// ---------------------------------------------------------------------------------

function takeSvgScreenshot() {
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(false,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(false,"edgelabels");
    }
    svgRenderer.render(scene,camera);
    svgElement = XMLS.serializeToString(svgRenderer.domElement);
    
    if (objectTypeVisible["pointlabels"]) {
        setVisibility(true,"pointlabels");
    }
    if (objectTypeVisible["edgelabels"]) {
        setVisibility(true,"edgelabels");
    }

    if (document.getElementById('tab_4').checked){
        //show in new tab
        var myWindow = window.open("","");
        myWindow.document.body.innerHTML = svgElement;
    } else{
        // download svg file 
        download("screenshot.svg", svgElement);
    }
}

function download(filename, text) {
    var element = document.createElement('a');
    element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
    element.setAttribute('download', filename);

    element.style.display = 'none';
    document.body.appendChild(element);

    element.click();

    document.body.removeChild(element);
}


document.getElementById('transparencyRange_4').oninput = changeTransparency;
document.getElementById('changeRotationX_4').onchange = changeRotationX;
document.getElementById('changeRotationY_4').onchange = changeRotationY;
document.getElementById('changeRotationZ_4').onchange = changeRotationZ;
document.getElementById('resetButton_4').onclick = resetScene;
document.getElementById('rotationSpeedRange_4').oninput = changeRotationSpeedFactor;
document.getElementById('takeScreenshot_4').onclick = takeSvgScreenshot;
document.getElementById('showSettingsButton_4').onclick = showSettings;
document.getElementById('hideSettingsButton_4').onclick = hideSettings;


// ------------------ SHORTCUTS --------------------------------------------
// -------------------------------------------------------------------------

/**
 * http://www.openjs.com/scripts/events/keyboard_shortcuts/
 * Version : 2.01.B
 * By Binny V A
 * License : BSD
 */
shortcut = {
	'all_shortcuts':{},//All the shortcuts are stored in this array
	'add': function(shortcut_combination,callback,opt) {
		//Provide a set of default options
		var default_options = {
			'type':'keydown',
			'propagate':false,
			'disable_in_input':false,
			'target':document,
			'keycode':false
		}
		if(!opt) opt = default_options;
		else {
			for(var dfo in default_options) {
				if(typeof opt[dfo] == 'undefined') opt[dfo] = default_options[dfo];
			}
		}

		var ele = opt.target;
		if(typeof opt.target == 'string') ele = document.getElementById(opt.target);
		var ths = this;
		shortcut_combination = shortcut_combination.toLowerCase();

		//The function to be called at keypress
		var func = function(e) {
			e = e || window.event;
			
			if(opt['disable_in_input']) { //Don't enable shortcut keys in Input, Textarea fields
				var element;
				if(e.target) element=e.target;
				else if(e.srcElement) element=e.srcElement;
				if(element.nodeType==3) element=element.parentNode;

				if(element.tagName == 'INPUT' || element.tagName == 'TEXTAREA') return;
			}
	
			//Find Which key is pressed
			if (e.keyCode) code = e.keyCode;
			else if (e.which) code = e.which;
			var character = String.fromCharCode(code).toLowerCase();
			
			if(code == 188) character=","; //If the user presses , when the type is onkeydown
			if(code == 190) character="."; //If the user presses , when the type is onkeydown

			var keys = shortcut_combination.split("+");
			//Key Pressed - counts the number of valid keypresses - if it is same as the number of keys, the shortcut function is invoked
			var kp = 0;
			
			//Work around for stupid Shift key bug created by using lowercase - as a result the shift+num combination was broken
			var shift_nums = {
				"`":"~",
				"1":"!",
				"2":"@",
				"3":"#",
				"4":"$",
				"5":"%",
				"6":"^",
				"7":"&",
				"8":"*",
				"9":"(",
				"0":")",
				"-":"_",
				"=":"+",
				";":":",
				"'":"\"",
				",":"<",
				".":">",
				"/":"?",
				"\\":"|"
			}
			//Special Keys - and their codes
			var special_keys = {
				'esc':27,
				'escape':27,
				'tab':9,
				'space':32,
				'return':13,
				'enter':13,
				'backspace':8,
	
				'scrolllock':145,
				'scroll_lock':145,
				'scroll':145,
				'capslock':20,
				'caps_lock':20,
				'caps':20,
				'numlock':144,
				'num_lock':144,
				'num':144,
				
				'pause':19,
				'break':19,
				
				'insert':45,
				'home':36,
				'delete':46,
				'end':35,
				
				'pageup':33,
				'page_up':33,
				'pu':33,
	
				'pagedown':34,
				'page_down':34,
				'pd':34,
	
				'left':37,
				'up':38,
				'right':39,
				'down':40,
	
				'f1':112,
				'f2':113,
				'f3':114,
				'f4':115,
				'f5':116,
				'f6':117,
				'f7':118,
				'f8':119,
				'f9':120,
				'f10':121,
				'f11':122,
				'f12':123
			}
	
			var modifiers = { 
				shift: { wanted:false, pressed:false},
				ctrl : { wanted:false, pressed:false},
				alt  : { wanted:false, pressed:false},
				meta : { wanted:false, pressed:false}	//Meta is Mac specific
			};
                        
			if(e.ctrlKey)	modifiers.ctrl.pressed = true;
			if(e.shiftKey)	modifiers.shift.pressed = true;
			if(e.altKey)	modifiers.alt.pressed = true;
			if(e.metaKey)   modifiers.meta.pressed = true;
                        
			for(var i=0; k=keys[i],i<keys.length; i++) {
				//Modifiers
				if(k == 'ctrl' || k == 'control') {
					kp++;
					modifiers.ctrl.wanted = true;

				} else if(k == 'shift') {
					kp++;
					modifiers.shift.wanted = true;

				} else if(k == 'alt') {
					kp++;
					modifiers.alt.wanted = true;
				} else if(k == 'meta') {
					kp++;
					modifiers.meta.wanted = true;
				} else if(k.length > 1) { //If it is a special key
					if(special_keys[k] == code) kp++;
					
				} else if(opt['keycode']) {
					if(opt['keycode'] == code) kp++;

				} else { //The special keys did not match
					if(character == k) kp++;
					else {
						if(shift_nums[character] && e.shiftKey) { //Stupid Shift key bug created by using lowercase
							character = shift_nums[character]; 
							if(character == k) kp++;
						}
					}
				}
			}
			
			if(kp == keys.length && 
						modifiers.ctrl.pressed == modifiers.ctrl.wanted &&
						modifiers.shift.pressed == modifiers.shift.wanted &&
						modifiers.alt.pressed == modifiers.alt.wanted &&
						modifiers.meta.pressed == modifiers.meta.wanted) {
				callback(e);
	
				if(!opt['propagate']) { //Stop the event
					//e.cancelBubble is supported by IE - this will kill the bubbling process.
					e.cancelBubble = true;
					e.returnValue = false;
	
					//e.stopPropagation works in Firefox.
					if (e.stopPropagation) {
						e.stopPropagation();
						e.preventDefault();
					}
					return false;
				}
			}
		}
		this.all_shortcuts[shortcut_combination] = {
			'callback':func, 
			'target':ele, 
			'event': opt['type']
		};
		//Attach the function with the event
		if(ele.addEventListener) ele.addEventListener(opt['type'], func, false);
		else if(ele.attachEvent) ele.attachEvent('on'+opt['type'], func);
		else ele['on'+opt['type']] = func;
	},

	//Remove the shortcut - just specify the shortcut and I will remove the binding
	'remove':function(shortcut_combination) {
		shortcut_combination = shortcut_combination.toLowerCase();
		var binding = this.all_shortcuts[shortcut_combination];
		delete(this.all_shortcuts[shortcut_combination])
		if(!binding) return;
		var type = binding['event'];
		var ele = binding['target'];
		var callback = binding['callback'];

		if(ele.detachEvent) ele.detachEvent('on'+type, callback);
		else if(ele.removeEventListener) ele.removeEventListener(type, callback, false);
		else ele['on'+type] = false;
	}
}

shortcut.add("Alt+Left",function() {
	var event = new Event('click');
	if (settingsShown){
		document.getElementById('hideSettingsButton_4').dispatchEvent(event);
	} else {
		document.getElementById('showSettingsButton_4').dispatchEvent(event);
	}
});


// COMMON_CODE_BLOCK_END

});});
      </script>
   </body>
</html>
</HTML>
Exporting the tropical surface and curve to ''%%OpenSCAD%%'' can be done using the command ''%%generateSCADFileForSurfaceAndCurve%%''. It requires two bounded polyhedral complexes and a filename. If the file already exists, it will be overwritten:

<code perl>
> $filename = "foo.scad";
> generateSCADFileForSurfaceAndCurve($tropicalSurfaceBounded,$tropicalCurveBounded,$filename);
</code>
==== III.3 Solidifying a tropical surface with curve in OpenSCAD and exporting it for 3D-printing ====

To solidify the surface and curve into a three-dimensional model, open the exported file in ''%%OpenSCAD%%''. Here is a preview of the solidified tropical plane with a tropical quartic curve constructed above:

{{:tutorials:release:4.12:hands_on_tropical_geometry:OpenSCADSurfaceAndCurve.png|OpenSCADSurfaceAndCurve.png}}

The top of the ''%%OpenSCAD%%'' file contains parameters which control the thickness of the model amongst other things:

<code java>
colorSurface = "SlateGray"; // color of surface
colorCurve = [0.83,.15,0.27]; // color of curve
scalingFactor = 1; // global scaling factor
thicknessSurface = 0.01; // thickness of surface
thicknessCurve = 0.1; // thickness of curve
</code>
  - ''%%colorSurface%%'' and ''%%colorCurve%%'' are the colors of the surface and curve in the render. It can be specified either by an HTML color name or by RGB value.
  - ''%%scalingFactor%%'' is a factor by which the polyhedral complex is scaled. It can be used to scale the model to the desired size.
  - ''%%thicknessSurface%%'' and ''%%thicknessCurve%%'' control the thickness of the surface and curve. ''%%OpenSCAD%%'' solidifies the surface by replacing every vertex with a ball with diameter equal to the specified radius and taking convex hulls.

===== IV. Printing tropical models using Prusa =====

To 3D-print our models using ''%%Prusa%%'', we suggest exporting them to ''%%3mf%%''. The advantage of the ''%%3mf%%'' file format is that it may contain multiple objects. The relative positions of the object is stored, so that - once loaded into ''%%PrusaSlicer%%'' - they are aligned as intended and we could assign them differently colored materials. The export of a single ''%%3mf%%'' file containing multiple objects can be done with [[https://github.com/jschobben/colorscad|''%%Colorscad%%'']].