Cubic honeycomb honeycomb
| Cubic honeycomb honeycomb | |
|---|---|
| (No image) | |
| Type | Hyperbolic regular honeycomb |
| Schläfli symbol | {4,3,4,3} {4,31,1,1} |
Coxeter diagram |
      ↔         ↔
|
| 4-faces |  {4,3,4}
|
| Cells |  {4,3}
|
| Faces |  {4}
|
| Face figure |  {3}
|
| Edge figure | {4,3}
|
| Vertex figure |  {3,4,3}
|
| Dual | Order-4 24-cell honeycomb |
| Coxeter group | R4, [4,3,4,3] |
| Properties | Regular |
In the
dual to the order-4 24-cell honeycomb
.
Related honeycombs
It is related to the Euclidean 4-space 16-cell honeycomb, {3,3,4,3}, which also has a 24-cell vertex figure.
It is analogous to the paracompact
hypercube honeycomb
facets.
See also
References
- ISBN 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
- ISBN 0-486-40919-8(Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213)