In the geometry of hyperbolic 3-space, the order-4 hexagonal tiling honeycomb, given by Schläfli symbol, it has four hexagonal tilings, exist around each edge, and 8 hexagonal tilings around each vertex in an octahedral vertex arrangement.
In the geometry of hyperbolic 3-space, the order-4 hexagonal tiling honeycomb is one of 11 paracompact regular honeycombs. Given by Schläfli symbol, it has four hexagonal tilings, exist around each edge, and 8 hexagonal tilings around each vertex in an octahedral vertex arrangement.