Order-4 24-cell honeycomb honeycomb
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In the geometry of hyperbolic 5-space, the order-4 24-cell 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 {3,4,3,3,4}, it has four 24-cell honeycombs around each cell. It is dual to the tesseractic honeycomb honeycomb.
Order-4 24-cell honeycomb honeycomb | |
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Type | Hyperbolic regular honeycomb |
Schläfli symbol | {3,4,3,3,4} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5-faces | ![]() |
4-faces | ![]() |
Cells | ![]() |
Faces | ![]() |
Cell figure | ![]() |
Face figure | ![]() |
Edge figure | ![]() |
Vertex figure | ![]() |
Dual | Tesseractic honeycomb honeycomb |
Coxeter group | R5, [3,4,3,3,4] |
Properties | Regular |