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Small dodecicosahedron information


Small dodecicosahedron
Type Uniform star polyhedron
Elements F = 32, E = 120
V = 60 (χ = −28)
Faces by sides 20{6}+12{10}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered pentagrams)
Wythoff symbol 3 5 (3/2 5/4) |
Symmetry group Ih, [5,3], *532
Index references U50, C64, W90
Dual polyhedron Small dodecicosacron
Vertex figure
6.10.6/5.10/9
Bowers acronym Siddy
3D model of a small dodecicosahedron

In geometry, the small dodecicosahedron (or small dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U50. It has 32 faces (20 hexagons and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

  1. ^ Maeder, Roman. "50: small dodecicosahedron". MathConsult.

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U50

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the small dodecicosacron (or small dipteral trisicosahedron) is the dual of the small dodecicosahedron (U50). It is visually identical to the Small ditrigonal...

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U63

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