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.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$\mathrm{with}\left(\mathrm{SpecialGraphs}\right)\:$

$\mathrm{TC}≔\mathrm{GreatRhombicuboctahedronGraph}\left(\right)$

$\mathrm{TC}≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 48\; vertices\; and\; 72\; edge(s)}$

$\mathrm{IsPlanar}\left(\mathrm{TC}\,'F'\right)$

$\mathrm{true}$

$\mathrm{nops}\left(F\right)$

$26$

$\mathrm{DrawGraph}\left(\mathrm{TC}\,\mathrm{style}=\mathrm{spring}\right)$

$\mathrm{DrawGraph}\left(\mathrm{TC}\,\mathrm{style}=\mathrm{spring}\,\mathrm{dimension}=3\right)$

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

For more information on Maple 2024 changes, see Updates in Maple 2024.