| Small complex icosidodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 32, E = 60 (30x2) V = 12 (χ = -16) |
| Faces by sides | 20{3}+12{5} |
| Wythoff symbol | 5 | 3/2 5 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U-, C-, W- |
| Bowers acronym | Cid |
(3/2.5)5 (3.5)5/3 (Vertex figure) |
Small complex icosidodecacron (dual polyhedron) |
In geometry, the small complex icosidodecahedron is a degenerate uniform star polyhedron. It has 32 faces (20 triangles and 12 pentagons), 60 (doubled) edges and 12 vertices. 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.
It can be seen as a compound of the icosahedron {3,5} and the great dodecahedron {5,5/2} where all vertices and edges coincide. The small complex icosidodecahedron appears to be an icosahedron because the great dodecahedron is completely contained inside the icosahedron.
See also
References
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