Triangular tiling honeycomb

The order-3 triangular tiling honeycomb, or just triangular tiling honeycomb, is a paracompact regular tiling of 3D hyperbolic space. 3 ideal triangular tilings meet at each edge. All vertices are ideal points at infinity, with infinitely many triangular tilings meeting at each vertex in a hexagonal tiling arrangement.

Representations
The triangular tiling honeycomb has the following Coxeter diagrams:


 * x3o6o3o (full symmetry)
 * o6o3x3o3*b (cells of two types, truncated tiangular tiling verf)
 * x3o3o3o3*a3*c *b3*d (cells of three types)