Order-4 24-cell honeycomb
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| Order-4 24-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Hyperbolic regular honeycomb |
| Schläfli symbol | {3,4,3,4} {3,4,31,1} |
| Coxeter diagram |       ↔  |
| 4-faces |  {3,4,3} |
| Cells |  {3,4} |
| Faces |  {3} |
| Face figure |  {4} |
| Edge figure | {3,4} |
| Vertex figure |  {4,3,4} |
| Dual | Cubic honeycomb honeycomb |
| Coxeter group | R4, [4,3,4,3] |
| Properties | Regular |
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.