Cubihemisquare honeycomb

The cubihemisquare honeycomb is a uniform honeycomb or tesselation of 3D Euclidean space. 4 cubes and 3 square tilings join at each vertex of this honeycomb. It shares the vertices, edges, and faces of the cubic honeycomb.

Vertex coordinates
The vertices of a cubic honeycomb of edge length 1 are given by


 * $$(i,j,k)$$ in which $$\{i,j,k\}\in\mathbb{Z}$$.