Order-4 hexagonal tiling honeycomb

The order-4 hexagonal tiling honeycomb, or shexah, is a paracompact regular tiling of 3D hyperbolic space. Each cell is a hexagonal tiling whose vertices lie on a horosphere, a surface in hyperbolic space that approaches a single ideal point at infinity. 4 hexagonal tilings meet at each edge, and 8 meet at each vertex.

Representations
An order-4 hexagonal tiling has the following Coxeter diagrams:


 * x6o3o4o (full symmetry)
 * o3o3o *b6x (half symmetry, 2 types of cells)
 * x3x6o3o6*a (has a triangular antiprism verf)