5-orthoplex honeycomb

In the geometry of hyperbolic 5-space, the 5-orthoplex honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol {3,3,3,4,3}, it has three 5-orthoplexes around each cell. It is dual to the 24-cell honeycomb honeycomb.

Its vertex figure is the 16-cell honeycomb, {3,3,4,3}.

• List of regular polytopes

• Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999ISBN 0-486-40919-8 (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p. 212-213)