 321    
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 231
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 132 
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 Rectified 321
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 birectified 321
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 Rectified 231
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 Rectified 132 
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| Orthogonal projections in E7 Coxeter plane | |||||
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In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.
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: .