Small dodecicosahedron

Small dodecicosahedron
TypeUniform star polyhedron
ElementsF = 32, E = 120
V = 60 (χ = 28)
Faces by sides20{6}+12{10}
Wythoff symbol3 5 (3/2 5/4) |
Symmetry groupIh, [5,3], *532
Index referencesU50, C64, W90
Dual polyhedronSmall dodecicosacron
Vertex figure
6.10.6/5.10/9
Bowers acronymSiddy

In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U50. 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

Small icosicosidodecahedron

Small ditrigonal dodecicosidodecahedron

Small dodecicosahedron

External links

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