====== BigObject Visual::SchlegelDiagram ======
//from application [[..:polytope|polytope]]//\\
\\
 Visualization of the Schlegel diagram of a polytope.

===== Methods =====

==== no category ====
{{anchor:construction:}}
  ?  **''CONSTRUCTION()''**
  :: Visualize the construction of a 3D Schlegel diagram, that is, the Viewpoint, the 3-polytope and the projection onto one facet.
    ? Options:
    : option list ''[[..:common#Visual_Polygons_decorations |Visual::Polygons::decorations]]''
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:directed_graph:}}
  ?  **''DIRECTED_GRAPH([[..:polytope:LinearProgram |LinearProgram]] lp)''**
  :: Illustrate the behavior of a linear objective function on the polytope. Superpose the drawing with the directed graph induced by the objective function.
    ? Parameters:
    :: ''[[..:polytope:LinearProgram |LinearProgram]]'' ''lp'': a LinearProgram object attached to the polytope.
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:min_max_face:}}
  ?  **''MIN_MAX_FACE([[..:polytope:LinearProgram |LinearProgram]] lp)''**
  :: Illustrate the behavior of a linear objective function on the polytope. The vertices belonging to ''[[..:polytope:LinearProgram#MINIMAL_FACE |MINIMAL_FACE]]'' and ''[[..:polytope:LinearProgram#MAXIMAL_FACE |MAXIMAL_FACE]]'' are drawn in distinct colors
    ? Parameters:
    :: ''[[..:polytope:LinearProgram |LinearProgram]]'' ''lp'': a LinearProgram object attached to the polytope.
    ? Options:
    : 
    :: ''[[..:common#Color |Color]]'' ''min'': minimal face decoration (default: yellow vertices and/or facets)
    :: ''[[..:common#Color |Color]]'' ''max'': maximal face decoration (default: red vertices and/or facets)
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:solid:}}
  ?  **''SOLID()''**
  :: Draw the facets of the Schlegel diagram as polytopes.
    ? Options:
    : option list ''[[..:common#Visual_Polygons_decorations |Visual::Polygons::decorations]]''
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:steiner:}}
  ?  **''STEINER()''**
  ::UNDOCUMENTED
    ? Options:
    : option list ''[[..:common#Visual_PointSet_decorations |Visual::PointSet::decorations]]''


----
{{anchor:triangulation_boundary:}}
  ?  **''TRIANGULATION_BOUNDARY()''**
  :: Draw the edges of the [[..:polytope:Visual_Polytope#TRIANGULATION_BOUNDARY |TRIANGULATION_BOUNDARY]]
    ? Options:
    : option list ''[[..:graph#Visual_Graph_decorations |Visual::Graph::decorations]]''
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:triangulation_boundary_solid:}}
  ?  **''TRIANGULATION_BOUNDARY_SOLID()''**
  :: Draw the boundary simplices of the triangulation as solid tetrahedra.
    ? Options:
    : option list ''[[..:common#Visual_Polygons_decorations |Visual::Polygons::decorations]]''
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----
{{anchor:vertex_colors:}}
  ?  **''VERTEX_COLORS([[..:polytope:LinearProgram |LinearProgram]] lp)''**
  :: Illustrate the behavior of a linear objective function on the polytope. Color the vertices according to the values of the objective function.
    ? Parameters:
    :: ''[[..:polytope:LinearProgram |LinearProgram]]'' ''lp'': a LinearProgram object attached to the polytope.
    ? Options:
    : 
    :: ''[[..:common#Color |Color]]'' ''min'': minimal vertex color (default: yellow)
    :: ''[[..:common#Color |Color]]'' ''max'': maximal vertex color (default: red)
    ? Returns:
    :''[[..:polytope:Visual_SchlegelDiagram |Visual::SchlegelDiagram]]''


----