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Great rhombihexahedron information


Great rhombihexahedron
Type Uniform star polyhedron
Elements F = 18, E = 48
V = 24 (χ = −6)
Faces by sides 12{4}+6{8/3}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered squares)
Wythoff symbol 2 4/3 (3/2 4/2) |
Symmetry group Oh, [4,3], *432
Index references U21, C82, W103
Dual polyhedron Great rhombihexacron
Vertex figure
4.8/3.4/3.8/5
Bowers acronym Groh
3D model of a great rhombihexahedron

In geometry, the great rhombihexahedron (or great rhombicube) is a nonconvex uniform polyhedron, indexed as U21. It has 18 faces (12 squares and 6 octagrams), 48 edges, and 24 vertices.[1] Its dual is the great rhombihexacron.[2] Its vertex figure is a crossed quadrilateral.

  1. ^ Maeder, Roman. "21: great rhombihexahedron". MathConsult.
  2. ^ Weisstein, Eric W. "Great Rhombihexahedron". MathWorld.

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