Small icosihemidodecahedron
| Small icosihemidodecahedron | |
|---|---|
| File:Small icosihemidodecahedron.png | |
| Type | Uniform star polyhedron |
| Elements | F = 26, E = 60 V = 30 (χ = −4) |
| Faces by sides | 20{3}+6{10} |
| Coxeter diagram | Template:CDD (double covering) |
| Wythoff symbol | 5 (double covering) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U49, C63, W89 |
| Dual polyhedron | Small icosihemidodecacron |
| Vertex figure | File:Small icosihemidodecahedron vertfig.png 3.10.3/2.10 |
| Bowers acronym | Seihid |
In geometry, the small icosihemidodecahedron (or small icosahemidodecahedron) is a uniform star polyhedron, indexed as Template:Math. It has 26 faces (20 triangles and 6 decagons), 60 edges, and 30 vertices.[1] Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral. It is a hemipolyhedron with its six decagonal faces passing through the model center.
It is given a Wythoff symbol, Template:Math but that construction represents a double covering of this model.
Related polyhedra
It 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).
| File:Icosidodecahedron.png Icosidodecahedron |
File:Small icosihemidodecahedron.png Small icosihemidodecahedron |
File:Small dodecahemidodecahedron.png Small dodecahemidodecahedron |
See also
References
External links
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- Uniform polyhedra and duals
Template:Nonconvex polyhedron navigator
- ↑ Script error: No such module "citation/CS1".