Great icosicosidodecahedron
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Short description: Polyhedron with 52 faces
| Great icosicosidodecahedron | |
|---|---|
| |
| 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 |  5.6.3/2.6 |
| Bowers acronym | Giid |
File:Great icosicosidodecahedron.stl In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces (20 triangles, 12 pentagrams, and 20 hexagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
Related polyhedra
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 |
Great icosicosidodecahedron |
 Great ditrigonal dodecicosidodecahedron |
 Great dodecicosahedron |
References
External links
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