Cyclotruncated tetrahedral-octahedral honeycomb

The btruncated tetrahedral-octahedral honeycomb, or batatoh, also known as the quarter cubic honeycomb, is a convex uniform honeycomb. 2 tetrahedra and 6 truncated tetrahedra join at each vertex of this honeycomb. It can be formed by applying two successive alternated faceting to the cubic honeycomb.

Representations
A bitruncated tetrahedral-octahedral honeycomb has the following Coxeter diagrams:


 * x3x3o3o3*a (full symmetry)
 * x3o3o *b4s (as single alternated faceting)
 * s4o3o4s' (as double alternated faceting)