| Omnitruncated 8-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform honeycomb |
| Family | Omnitruncated simplectic honeycomb |
| Schläfli symbol | {3[9]} |
| Coxeter–Dynkin diagrams |     
|
| 7-face types | t01234567{3,3,3,3,3,3,3} |
| Vertex figure |  Irr. 8-simplex |
| Symmetry | ×18, [9[3[9]]] |
| Properties | vertex-transitive |
In eight-dimensional Euclidean geometry, the omnitruncated 8-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 8-simplex facets.
The facets of all omnitruncated simplectic honeycombs are called permutahedra and can be positioned in n+1 space with integral coordinates, permutations of the whole numbers (0,1,..,n).