SmallRhombicuboctahedronGraph() creates the small rhombicuboctahedron graph on 24 vertices. This is an Eulerian graph and has 48 edges.

SnubCubeGraph() creates the snub cube graph on 24 vertices. This graph has 60 edges.

TruncatedCubeGraph() creates the truncated cube graph on 24 vertices. This graph has 36 edges.

TruncatedOctahedronGraph() creates the truncated octahedron graph on 24 vertices. This graph has 36 edges.

All of these are Archimedean graphs.

You can optionally input the labels of the vertices as a list for any of the above graphs.

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

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

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

$\mathrm{TC}≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 24\; vertices\; and\; 36\; edge(s)}$

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

$\mathrm{true}$

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

$14$

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

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

The GraphTheory[SpecialGraphs][SmallRhombicuboctahedronGraph], GraphTheory[SpecialGraphs][SnubCubeGraph], GraphTheory[SpecialGraphs][TruncatedCubeGraph] and GraphTheory[SpecialGraphs][TruncatedOctahedronGraph] commands were introduced in Maple 2024.

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