Small icosihemidodecahedron: Difference between revisions
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{{Uniform polyhedra db|Uniform polyhedron stat table|lIhD}} |
{{Uniform polyhedra db|Uniform polyhedron stat table|lIhD}} |
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In [[geometry]], the ''' |
In [[geometry]], the '''small icosihemidodecahedron''' is a [[nonconvex uniform polyhedron]], indexed as U<sub>49</sub>. It has a [[crossed-quadrilateral]] [[vertex figure]]. |
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It is a [[hemipolyhedron]] with 6 [[decagon]]al faces passing through the model center. |
It is a [[hemipolyhedron]] with 6 [[decagon]]al faces passing through the model center. |
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Revision as of 04:27, 1 May 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)
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| 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. It has a crossed-quadrilateral vertex figure.
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
Template:Uniform polyhedra navigator
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