Great rhombated tetrahedral honeycomb

The great rhombated tetrahedral honeycomb or grath, also called the cantitruncated tetrahedral honeycomb, is a paracompact uniform tiling of 3D hyperbolic space. 1 hexagonal tiling, 2 truncated octahedra, and 1 hexagonal prism meet at each vertex. It is paracompact because it has Euclidean hexagonal tiling cells. As the name suggests, it can be derived by cantitruncation of the tetrahedral honeycomb.

The truncated octahedra are in the form, as great rhombitetratetrahedra, with tetrahedral symmetry; and the hexagonal tilings are in the form , as truncated triangular tilings.

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


 * o6x3x3x (full symmetry)
 * x3x3x3x3*b (half symmetry)