Hepteractic heptacomb
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| Hepteractic heptacomb | |
|---|---|
| (no image) | |
| Type | Regular heptacomb |
| Family | Hypercube honeycomb |
| Schläfli symbol | {4,3,3,3,3,3,4} |
| Coxeter-Dynkin diagrams |          |
| 7-face type | {4,3,3,3,3,3} |
| 6-face type | {4,3,3,3,3} |
| 5-face type | {4,3,3,3} |
| 4-face type | {4,3,3} |
| Cell type | {4,3} |
| Face type | {4} |
| Face figure | {4,3} (octahedron) |
| Edge figure | 8 {4,3,3} (16-cell) |
| Vertex figure | 128 {4,3,3,3,3,3} (heptacross) |
| Coxeter group | [4,3,3,3,3,3,4] |
| Dual | self-dual |
| Properties | vertex-transitive, edge-transitive, face-transitive, cell-transitive |
The hepteractic heptacomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 7-space.
It is an analog of the square tiling of the plane, the cubic honeycomb of 3-space.
[edit] See also
[edit] References
- Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p.296, Table II: Regular honeycombs
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