5-orthoplex honeycomb
In the geometry of hyperbolic 5-space, the 5-orthoplex 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 5-orthoplexes around each cell. It is dual to the 24-cell honeycomb honeycomb.It is related to the regular Euclidean 4-space 16-cell honeycomb,, with 16-cell facets, and the regular 4-polytope 24-cell, with octahedral cell, and cube, with square faces.
