2 31 polytope
In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
321 |
231 |
132 | |||
Rectified 321 |
birectified 321 | ||||
Rectified 231 |
Rectified 132 | ||||
| Orthogonal projections in E7 Coxeter plane | |||||
|---|---|---|---|---|---|
Its Coxeter symbol is 231, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 2-node branch.
The rectified 231 is constructed by points at the mid-edges of the 231.
These polytopes are part of a family of 127 (or 27−1) convex uniform polytopes in 7-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: .
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