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Small rhombidodecahedron information


Small rhombidodecahedron
Type Uniform star polyhedron
Elements F = 42, E = 120
V = 60 (χ = −18)
Faces by sides 30{4}+12{10}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered pentagons)
Wythoff symbol 2 5 (3/2 5/2) |
Symmetry group Ih, [5,3], *532
Index references U39, C46, W74
Dual polyhedron Small rhombidodecacron
Vertex figure
4.10.4/3.10/9
Bowers acronym Sird
3D model of a small rhombidodecahedron

In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. It has 42 faces (30 squares and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

  1. ^ Maeder, Roman. "39: small rhombidodecahedron". MathConsult.

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