Rectified triangular tiling honeycomb

The rectified triangular tiling honeycomb, or ritrah, is a paracompact quasiregular tiling of 3D hyperbolic space. 2 hexagonal tilings and 3 trihexagonal tilings meet at each vertex. It is paracompact because it has Euclidean hexagonal tiling and trihexagonal tiling cells. As the name suggests, it can be derived by rectification of the triangular tiling honeycomb.

Representations
A rectified triangular tiling honeycomb has the following Coxeter diagrams:


 * o3x6o3o (full symmetry
 * o6x3o3x3*b (wedge verf, trihexagonal tilings of 2 types)
 * x3x3x3o3*a3*c *b3*d (skewed wedge verf, trihexagonal tilings of 3 types)