Great icosicosidodecahedron

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Great icosicosidodecahedron
Great icosicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 52, E = 120
V = 60 (χ = −8)
Faces by sides 20{3}+12{5}+20{6}
Wythoff symbol 3/2 5 | 3
3 5/4 | 3
Symmetry group Ih, [5,3], *532
Index references U48, C62, W88
Dual polyhedron Great icosacronic hexecontahedron
Vertex figure Great icosicosidodecahedron vertfig.png
5.6.3/2.6
Bowers acronym Giid

In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48. Its vertex figure is a crossed quadrilateral.

Related polyhedra[edit]

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

Truncated dodecahedron.png
Truncated dodecahedron
Great icosicosidodecahedron.png
Great icosicosidodecahedron
Great ditrigonal dodecicosidodecahedron.png
Great ditrigonal dodecicosidodecahedron
Great dodecicosahedron.png
Great dodecicosahedron

External links[edit]