24-cell honeycomb honeycomb


In the geometry of hyperbolic 5-space, the 24-cell 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 24-cell honeycombs around each cell. It is dual to the 5-orthoplex honeycomb.

Related honeycombs

It is related to the regular Euclidean 4-space 24-cell honeycomb,, and the hyperbolic 5-space order-4 24-cell honeycomb honeycomb.