documentation:latest:polytope:visual_schlegeldiagram

Available versions of this document: latest release, release 4.11, release 4.10, release 4.9, release 4.8, release 4.7, release 4.6, release 4.5, release 4.4, release 4.3, release 4.2, release 4.1, release 4.0, release 3.6, release 3.5, nightly master

Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2

BigObject Visual::SchlegelDiagram

from application polytope

Visualization of the Schlegel diagram of a polytope.

CONSTRUCTION()

Visualize the construction of a 3D Schlegel diagram, that is, the Viewpoint, the 3-polytope and the projection onto one facet.

Options:
Returns:

DIRECTED_GRAPH(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:

LinearProgram lp: a LinearProgram object attached to the polytope.

Returns:

MIN_MAX_FACE(LinearProgram lp)

Illustrate the behavior of a linear objective function on the polytope. The vertices belonging to MINIMAL_FACE and MAXIMAL_FACE are drawn in distinct colors

Parameters:

LinearProgram lp: a LinearProgram object attached to the polytope.

Options:

Color min: minimal face decoration (default: yellow vertices and/or facets)

Color max: maximal face decoration (default: red vertices and/or facets)

Returns:

SOLID()

Draw the facets of the Schlegel diagram as polytopes.

Options:
Returns:

STEINER()

UNDOCUMENTED

Options:

TRIANGULATION_BOUNDARY()

Draw the edges of the TRIANGULATION_BOUNDARY

Options:
Returns:

TRIANGULATION_BOUNDARY_SOLID()

Draw the boundary simplices of the triangulation as solid tetrahedra.

Options:
Returns:

VERTEX_COLORS(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:

LinearProgram lp: a LinearProgram object attached to the polytope.

Options:

Color min: minimal vertex color (default: yellow)

Color max: maximal vertex color (default: red)

Returns:

  • documentation/latest/polytope/visual_schlegeldiagram.txt
  • Last modified: 2023/11/06 10:57
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