Omnitruncated 5-simplex honeycomb
Five dimensional space-filling tessellation / From Wikipedia, the free encyclopedia
In five-dimensional Euclidean geometry, the omnitruncated 5-simplex honeycomb or omnitruncated hexateric honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 5-simplex facets.
Omnitruncated 5-simplex honeycomb | |
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(No image) | |
Type | Uniform honeycomb |
Family | Omnitruncated simplectic honeycomb |
Schläfli symbol | t012345{3[6]} |
Coxeter–Dynkin diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5-face types | t01234{3,3,3,3} ![]() |
4-face types | t0123{3,3,3}![]() {}×t012{3,3} ![]() {6}×{6} ![]() |
Cell types | t012{3,3}![]() {4,3} ![]() {}x{6} ![]() |
Face types | {4} {6} |
Vertex figure | ![]() Irr. 5-simplex |
Symmetry | |
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).