Small icosihemidodecahedron: Difference between revisions
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== External links == |
== External links == |
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* {{mathworld | urlname = SmallIcosihemidodecahedron| title = Small icosihemidodecahedron}} |
* {{mathworld | urlname = SmallIcosihemidodecahedron| title = Small icosihemidodecahedron}} |
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* [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals] |
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Revision as of 14:33, 15 October 2010
| Small icosihemidodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 26, E = 60 V = 30 (χ = −4) |
| Faces by sides | 20{3}+6{10} |
| Coxeter diagram |     (double covering)
|
| Wythoff symbol | 3/2 3 | 5 (double covering) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U49, C63, W89 |
| Dual polyhedron | Small icosihemidodecacron |
| Vertex figure |  3.10.3/2.10 |
| Bowers acronym | Seihid |
In geometry, the small icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U49. Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with 6 decagonal faces passing through the model center.
Related polyhedra
Its shares its edge arrangement with the icosidodecahedron (its convex hull, having the triangular faces in common), and with the small dodecahemidodecahedron (having the decagonal faces in common).
 Icosidodecahedron |
Small icosihemidodecahedron |
 Small dodecahemidodecahedron |
See also
External links
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |