2 31 polytope
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: .
2 31 polytope1 32 polytope2 41 polytope2 51 honeycomb3 21 polytope3 31 honeycomb4 21 polytopeCoxeter elementCoxeter groupE7 (mathematics)E7 polytopeE9 honeycombEmanuel Lodewijk ElteGosset 2 31 polytopeGosset–Elte figuresList of mathematical shapesList of polygons, polyhedra and polytopesOctadecagonPoint groupPolytope familiesRectified 2 31 polytopeRectified 5-simplexesRoot systemSeven-dimensional spaceUniform 2 k1 polytopeUniform 7-polytope
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2 31 polytope
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: .
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In 7-dimensional geometry, 231 ...... this Coxeter-Dynkin diagram: .
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2 31 polytope
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November 2019
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In 7-dimensional geometry, 231 ...... this Coxeter-Dynkin diagram: .
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