Order-4 120-cell honeycomb
| Order-4 120-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Hyperbolic regular honeycomb |
| Schläfli symbol | {5,3,3,4} {5,3,31,1} |
| Coxeter diagram |        =  |
| 4-faces |  {5,3,3} |
| Cells |  {5,3} |
| Faces |  {5} |
| Face figure |  {4} |
| Edge figure |  {3,4} |
| Vertex figure |  {3,3,4} |
| Dual | Order-5 tesseractic honeycomb |
| Coxeter group | BH4, [5,3,3,4] |
| Properties | Regular |
In the geometry of hyperbolic 4-space, the order-4 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,4}, it has four 120-cells around each face. Acronym: shitte[1]
Its dual is the order-5 tesseractic honeycomb, {4,3,3,5}.
Related honeycombs
It is related to the (order-3) 120-cell honeycomb, and order-5 120-cell honeycomb.
See also
Notes
References
- Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999, ISBN 0-486-40919-8, (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, pp. 212–213)
- Klitzing, Richard. "4D Tetracombs". o4o3o3o5x - shitte
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