Omnitruncated_6-simplex_honeycomb
In six-dimensional Euclidean geometry, the omnitruncated 6-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 6-simplex facets.
Omnitruncated 6-simplex honeycomb | |
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(No image) | |
Type | Uniform honeycomb |
Family | Omnitruncated simplectic honeycomb |
Schläfli symbol | {3[8]} |
Coxeter–Dynkin diagrams | |
Facets | t0,1,2,3,4,5{3,3,3,3,3} |
Vertex figure | Irr. 6-simplex |
Symmetry | ×14, [7[3[7]]] |
Properties | vertex-transitive |
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).