The GossetGraph() command constructs the Gosset graph.

The Gosset graph is a 27-regular graph with 56 vertices and 756 edges.

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

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

$G≔\mathrm{GossetGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 56\; vertices\; and\; 756\; edge(s)}$

$\mathrm{IsPlanar}\left(G\right)$

$\mathrm{false}$

$\mathrm{IsRegular}\left(G\right)$

$\mathrm{true}$

$\mathrm{ChromaticNumber}\left(G\right)$

$8$

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

"Gosset graph", Wikipedia. http://en.wikipedia.org/wiki/Gosset_graph

The GraphTheory[SpecialGraphs][GossetGraph] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.