| 7-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 7-honeycomb |
| Family | Simplectic honeycomb |
| Schläfli symbol | {3[8]} = 0[8] |
| Coxeter diagram |      
|
| 6-face types | {36}  , t1{36}  t2{36}  , t3{36} 
|
| 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 | t0,6{36} 
|
| Symmetry | ×21, <[3[8]]> |
| Properties | vertex-transitive |
In seven-dimensional Euclidean geometry, the 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, rectified 7-simplex, birectified 7-simplex, and trirectified 7-simplex facets. These facet types occur in proportions of 2:2:2:1 respectively in the whole honeycomb.