Small rhombated tetrahedral honeycomb

The small rhombated tetrahedral honeycomb, also called the cantellated tetrahedral honeycomb, is a paracompact uniform tiling of 3D hyperbolic space. 1 trihexagonal tiling, 2 cuboctahedra, and 2 hexagonal prisms meet at each vertex. It is paracompact because it has Euclidean trihexagonal tiling cells. As the name suggests, it can be derived by cantellation of the tetrahedral honeycomb.

The cuboctahedra are in the form, as small rhombitetratetrahedra, with tetrahedral symmetry.

Representations
A small rhombated tetrahedral honeycomb has the following Coxeter diagarms:


 * o6x3o3x (full symmetry)
 * x3o3x3x3*b (half symmetry)