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 are the same as those of the cubic honeycomb, given by


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