Hexagonal tiling honeycomb

The order-3 hexagonal tiling honeycomb, or just hexagonal tiling honeycomb, 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. 3 hexagonal tilings meet at each edge, and 4 meet at each vertex.