| 6-cubic honeycomb | |
|---|---|
| (no image) | |
| Type | Regular 6-honeycomb Uniform 6-honeycomb |
| Family | Hypercube honeycomb |
| Schläfli symbol | {4,34,4} {4,33,31,1} |
| Coxeter-Dynkin diagrams |
|
| 6-face type | {4,34} |
| 5-face type | {4,33} |
| 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 | 64 {4,34} (6-orthoplex) |
| Coxeter group | , [4,34,4] , [4,33,31,1] |
| Dual | self-dual |
| Properties | vertex-transitive, edge-transitive, face-transitive, cell-transitive |
The 6-cubic honeycomb or hexeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 6-space.
It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space.