Tesseractic honeycomb honeycomb


In the geometry of hyperbolic 5-space, the tesseractic honeycomb honeycomb is one of five paracompact regular space-filling tessellations. It is called paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol, it has three tesseractic honeycombs around each cell. It is dual to the order-4 24-cell honeycomb honeycomb.

Related honeycombs

It is related to the regular Euclidean 4-space tesseractic honeycomb,.
It is analogous to the paracompact cubic honeycomb honeycomb,, in 4-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.