Cubic honeycomb honeycomb
In the geometry of hyperbolic 4-space, the cubic honeycomb honeycomb is one of two paracompact regular space-filling tessellations. It is called paracompact because it has infinite facets, whose vertices exist on 3-horospheres and converge to a single ideal point at infinity. With Schläfli symbol, it has three cubic honeycombs around each face, and with a 24-cell| vertex figure. It is dual to the order-4 24-cell honeycomb.Related honeycombs
It is related to the Euclidean 4-space 16-cell honeycomb,, which also has a 24-cell vertex figure.
It is analogous to the paracompact tesseractic honeycomb honeycomb,, in 5-dimensional hyperbolic space, square tiling honeycomb,, in 3-dimensional hyperbolic space, and the order-3 apeirogonal tiling, of 2-dimensional hyperbolic space, each with hypercube honeycomb facets.
