Small dodecicosahedron

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Short description: Polyhedron with 32 faces


Small dodecicosahedron
Small dodecicosahedron.png
Type Uniform star polyhedron
Elements F = 32, E = 120
V = 60 (χ = −28)
Faces by sides 20{6}+12{10}
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 Small dodecicosahedron vertfig.png
6.10.6/5.10/9
Bowers acronym Siddy

File:Small dodecicosahedron.stl 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.

Related polyhedra

It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the hexagonal faces in common) and the small ditrigonal dodecicosidodecahedron (having the decagonal faces in common).

Great stellated truncated dodecahedron.png
Great stellated truncated dodecahedron
Small icosicosidodecahedron.png
Small icosicosidodecahedron
Small ditrigonal dodecicosidodecahedron.png
Small ditrigonal dodecicosidodecahedron
Small dodecicosahedron.png
Small dodecicosahedron

References

External links