Order-5 5-cell honeycomb
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| Order-5 5-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Hyperbolic regular honeycomb |
| Schläfli symbol | {3,3,3,5} |
| Coxeter diagram |     |
| 4-faces |  {3,3,3} |
| Cells |  {3,3} |
| Faces |  {3} |
| Face figure |  {5} |
| Edge figure |  {3,5} |
| Vertex figure |  {3,3,5} |
| Dual | 120-cell honeycomb |
| Coxeter group | H4, [5,3,3,3] |
| Properties | Regular |
In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {3,3,3,5}, it has five 5-cells around each face. Its dual is the 120-cell honeycomb, {5,3,3,3}.