2 31 Polytope

2 31 Polytope

In 7-dimensional geometry, 2₃₁ is a uniform polytope, constructed from the E7 group.

Coxeter named it 2₃₁ by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 2-node sequences.

The rectified 2₃₁ is constructed by points at the mid-edges of the 2₃₁.

These polytopes are part of a family of 127 (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: .