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 the fundamental domain of its symmetry group has finite volume. 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.

5-orthoplex honeycomb
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Type	Hyperbolic regular honeycomb
Schläfli symbol	{3,3,3,4,3}
Coxeter diagram	=
5-faces	{3,3,3,4}
4-faces	{3,3,3}
Cells	{3,3}
Faces	{3}
Cell figure	{3}
Face figure	{4,3}
Edge figure	{3,4,3}
Vertex figure	{3,3,4,3}
Dual	24-cell honeycomb honeycomb
Coxeter group	U5, [3,3,3,4,3]
Properties	Regular