Great rhombated cubic honeycomb

The great rhombated cubic honeycomb, or grich, also known as the cantitruncated cubic honeycomb, is a convex uniform honeycomb. 1 truncated octahedron, 1 cube, and 2 great rhombicuboctahedra join at each vertex of this honeycomb. As the name suggests, it is the cantitruncation of the cubic honeycomb.

This honeycomb can be alternated into a snub rectified cubic honeycomb, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create an cantic snub cubic honeycomb, which is also nonuniform.

Representations
A great rhombated cubic honeycomb has the following Coxeter diagrams:


 * x4x3x4o (regular)
 * x3x3x *b4x (S4 symmetry)
 * s4x3x4x (as alternated faceting)