Small icosicosidodecahedron

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Small icosicosidodecahedron
Small icosicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 52, E = 120
V = 60 (χ = −8)
Faces by sides 20{3}+12{5/2}+20{6}
Wythoff symbol 5/2 3 | 3
Symmetry group Ih, [5,3], *532
Index references U31, C40, W71
Dual polyhedron Small icosacronic hexecontahedron
Vertex figure Small icosicosidodecahedron vertfig.png
Bowers acronym Siid

In geometry, the small icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U31.

Related polyhedra[edit]

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

See also[edit]

External links[edit]