IcosidodecahedronGraph() creates the icosidodecahedron graph on 30 vertices.

This graph is an Archimedean graph and an Eulerian graph.

You can optionally input the labels of the vertices as a list.

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

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

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

$\mathrm{TC}≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 30\; vertices\; and\; 60\; edges}$

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

$\mathrm{true}$

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

$32$

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

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

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

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