Order-4 24-cell honeycomb
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In the geometry of hyperbolic 4-space, the order-4 24-cell honeycomb is one of two 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 {3,4,3,4}, it has four 24-cells around each face. It is dual to the cubic honeycomb honeycomb.
Order-4 24-cell honeycomb | |
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Type | Hyperbolic regular honeycomb |
Schläfli symbol | {3,4,3,4} {3,4,31,1} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-faces | ![]() |
Cells | ![]() |
Faces | ![]() |
Face figure | ![]() |
Edge figure | ![]() |
Vertex figure | ![]() |
Dual | Cubic honeycomb honeycomb |
Coxeter group | R4, [4,3,4,3] |
Properties | Regular |