Great complex icosidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 32, E = 60 (30x2) V = 12 (χ = -16) |
Faces by sides | 20{3}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 5 | 3 5/3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U-, C-, W- |
Dual polyhedron | Great complex icosidodecacron |
Vertex figure | ![]() (3.5/3)5 (3.5/2)5/3 |
Bowers acronym | Gacid |
In geometry, the great complex icosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 (doubled) edges, and 32 faces, 12 pentagrams and 20 triangles. All edges are doubled (making it degenerate), sharing 4 faces, but are considered as two overlapping edges as topological polyhedron.
It can be constructed from a number of different vertex figures.
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