Great dodecicosidodecahedron

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Great dodecicosidodecahedron
Great dodecicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5/2}+12{10/3}
Wythoff symbol 5/2 3 | 5/3
5/3 3/2 | 5/3
Symmetry group Ih, [5,3], *532
Index references U61, C77, W99
Dual polyhedron Great dodecacronic hexecontahedron
Vertex figure Great dodecicosidodecahedron vertfig.png
Bowers acronym Gaddid

In geometry, the great dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U61.

Related polyhedra[edit]

It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the triangular and pentagrammic faces in common), and with the great rhombidodecahedron (having the decagrammic faces in common).

Uniform great rhombicosidodecahedron.png
Nonconvex great rhombicosidodecahedron
Great dodecicosidodecahedron.png
Great dodecicosidodecahedron
Great rhombidodecahedron.png
Great rhombidodecahedron
Great truncated dodecahedron.png
Truncated great dodecahedron
UC34-6 pentagonal prisms.png
Compound of six pentagonal prisms
UC35-12 pentagonal prisms.png
Compound of twelve pentagonal prisms

See also[edit]

External links[edit]