2 22 honeycomb
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In geometry, the 222 honeycomb is a uniform tessellation of the six-dimensional Euclidean space. It can be represented by the Schläfli symbol {3,3,32,2}. It is constructed from 221 facets and has a 122 vertex figure, with 54 221 polytopes around every vertex.
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222 honeycomb | |
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Type | Uniform tessellation |
Coxeter symbol | 222 |
Schläfli symbol | {3,3,32,2} |
Coxeter diagram | |
6-face type | 221 |
5-face types | 211 {34} |
4-face type | {33} |
Cell type | {3,3} |
Face type | {3} |
Face figure | {3}×{3} duoprism |
Edge figure | {32,2} |
Vertex figure | 122 |
Coxeter group | , [[3,3,32,2]] |
Properties | vertex-transitive, facet-transitive |
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Its vertex arrangement is the E6 lattice, and the root system of the E6 Lie group so it can also be called the E6 honeycomb.