Icosidodecadodecahedron
From Wikipedia, the free encyclopedia
| Icosidodecadodecahedron | |
|---|---|
 |
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| Type | Uniform polyhedron |
| Elements | F=44, E=120, V=60 (χ=-16) |
| Faces by sides | 12{5}+12{5/2}+20{6} |
| Vertex configuration | 5.6.5/3.6 |
| Wythoff symbol | 5/35 | 3 |
| Symmetry group | Ih |
| Index references | U44, C56, W83 |
 Vertex Figure |
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In geometry, the icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U44.
The Icosidodecadodecahedron has 60 verticies, 120 edges and 44 faces (12{5}+12{5/2}+20{6}). The vertex configuration is 5.6.5/3.6. Its symmetry group is Ih, its Wythoff symbols is 5/35 | 3 and its Euler characteristic is χ=-16.
Its Bowers style acronym is Ided, its uniform index number is U44, its Kaleido index is K49, its number in Wenninger's polyhedron models is 83, and it was given the number 56 in Coxeter's 1954 paper, which first gave the complete list of the unifom polyhedron.
