Tetrahedral honeycomb

The order-6 tetrahedral honeycomb, or just tetrahedral honeycomb, is a paracompact regular tiling of 3D hyperbolic space. 6 ideal tetrahedra meet at each edge. All vertices are ideal points at infinity, with infinitely many tetrahedra meeting at each vertex in a triangular tiling arrangement.

Representations
A tetrahedral honeycomb has the following Coxeter diagrams:


 * o6o3o3x (full symmetry)
 * x3o3o3o3*b (tetrahedra of two alternating types)