Tesseractic honeycomb honeycomb
Geometrical concept / From Wikipedia, the free encyclopedia
In the geometry of hyperbolic 5-space, the tesseractic honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol {4,3,3,4,3}, it has three tesseractic honeycombs around each cell. It is dual to the order-4 24-cell honeycomb honeycomb.
Tesseractic honeycomb honeycomb | |
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Type | Hyperbolic regular honeycomb |
Schläfli symbol | {4,3,3,4,3} {4,3,31,1,1} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5-faces | ![]() |
4-faces | ![]() |
Cells | ![]() |
Faces | ![]() |
Cell figure | ![]() |
Face figure | ![]() |
Edge figure | ![]() |
Vertex figure | ![]() |
Dual | Order-4 24-cell honeycomb honeycomb |
Coxeter group | R5, [3,4,3,3,4] |
Properties | Regular |