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