| 5-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 5-honeycomb |
| Family | Simplectic honeycomb |
| Schläfli symbol | {3[6]} = 0[6] |
| Coxeter diagram |      
|
| 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 | t0,4{34} 
|
| Coxeter groups | ×2, <[3[6]]> |
| Properties | vertex-transitive |
In five-dimensional Euclidean geometry, the 5-simplex honeycomb or hexateric honeycomb is a space-filling tessellation (or honeycomb or pentacomb). Each vertex is shared by 12 5-simplexes, 30 rectified 5-simplexes, and 20 birectified 5-simplexes. These facet types occur in proportions of 2:2:1 respectively in the whole honeycomb.