GreatRhombicuboctahedronGraph - Maple Help

GraphTheory[SpecialGraphs]

 GreatRhombicuboctahedronGraph
 construct great rhombicuboctahedron graph

 Calling Sequence GreatRhombicuboctahedronGraph() GreatRhombicuboctahedronGraph(V)

Parameters

 V - set or list of size 48 (optional)

Description

 • GreatRhombicuboctahedronGraph() creates the great rhombicuboctahedron graph on 48 vertices. This is also known as the truncated cuboctahedron graph.
 • This is an Archimedean graph. It is planar and 3-regular.
 • You can optionally input the labels of the vertices as a list.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{TC}≔\mathrm{GreatRhombicuboctahedronGraph}\left(\right)$
 ${\mathrm{TC}}{≔}{\mathrm{Graph 1: an undirected graph with 48 vertices and 72 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(\mathrm{TC},'F'\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{nops}\left(F\right)$
 ${26}$ (3)
 > $\mathrm{DrawGraph}\left(\mathrm{TC},\mathrm{style}=\mathrm{spring}\right)$
 > $\mathrm{DrawGraph}\left(\mathrm{TC},\mathrm{style}=\mathrm{spring},\mathrm{dimension}=3\right)$

Compatibility

 • The GraphTheory[SpecialGraphs][GreatRhombicuboctahedronGraph] command was introduced in Maple 2024.