6-simplex honeycomb
In six-dimensional Euclidean geometry, the 6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, rectified 6-simplex, and birectified 6-simplex facets. These facet types occur in proportions of 1:1:1 respectively in the whole honeycomb.
| 6-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 6-honeycomb |
| Family | Simplectic honeycomb |
| Schläfli symbol | {3[7]} |
| Coxeter diagram | |
| 6-face types | {35} , t1{35} t2{35} |
| 5-face types | {34} , t1{34} t2{34} |
| 4-face types | {33} , t1{33} |
| Cell types | {3,3} , t1{3,3} |
| Face types | {3} |
| Vertex figure | t0,5{35} |
| Symmetry | ×2, [[3[7]]] |
| Properties | vertex-transitive |
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