Small dodecahemicosahedron
From Wikipedia, the free encyclopedia
| Small dodecahemicosahedron | |
|---|---|
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| Type | Uniform polyhedron |
| Elements | F=22, E=60, V=30 (χ=-8) |
| Faces by sides | 12{5/2}+10{6} |
| Vertex configuration | 6.5/2.6.5/3 |
| Wythoff symbol | 5/35/2 | 3 |
| Symmetry group | Ih |
| Index references | U62, C78, W100 |
 Vertex Figure |
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In geometry, the small dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U62.
The Small dodecahemicosahedron has 30 verticies, 60 edges and 22 faces (12{5/2}+10{6}). The vertex configuration is 6.5/2.6.5/2. Its symmetry group is Ih, its Wythoff symbols is 5/35/2 | 3 and its Euler characteristic is χ=-8.
Its Bowers style acronym is Sidhei, its uniform index number is U62, its Kaleido index is K67, its number in Wenninger's polyhedron models is 100, and it was given the number 78 in Coxeter's 1954 paper, which first gave the complete list of the unifom polyhedron.
