| 6-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 6-honeycomb |
| Family | Simplectic honeycomb |
| Schläfli symbol | {3[7]} = 0[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 |
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.