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Great retrosnub icosidodecahedron
Uniform star polyhedron / From Wikipedia, the free encyclopedia
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In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{3⁄2,5⁄3}.
Great retrosnub icosidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 92, E = 150 V = 60 (χ = 2) |
Faces by sides | (20+60){3}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | | 2 3/2 5/3 |
Symmetry group | I, [5,3]+, 532 |
Index references | U74, C90, W117 |
Dual polyhedron | Great pentagrammic hexecontahedron |
Vertex figure | ![]() (34.5/2)/2 |
Bowers acronym | Girsid |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Great_retrosnub_icosidodecahedron.stl/640px-Great_retrosnub_icosidodecahedron.stl.png)