The BidiakisCube() command returns the Bidiakis cube, a 3-regular graph with 12 vertices and 18 edges.

The Bidiakis cube is a cubic Hamiltonian graph and its girth is 4.

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

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

$B≔\mathrm{BidiakisCube}\left(\right)$

$B≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 12\; vertices\; and\; 18\; edge(s)}$

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

$\mathrm{true}$

$\mathrm{DrawGraph}\left(B\right)$

"Bidiakis cube", Wikipedia. http://en.wikipedia.org/wiki/Bidiakis_cube

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

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