Small dodecahemidodecahedron
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| Small dodecahemidodecahedron | |
|---|---|
| File:Small dodecahemidodecahedron.png | |
| Type | Uniform star polyhedron |
| Elements | F = 18, E = 60 V = 30 (χ = −12) |
| Faces by sides | 12{5}+6{10} |
| Coxeter diagram | Template:CDD (double covering) |
| Wythoff symbol | 5 (double covering) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U51, C65, W91 |
| Dual polyhedron | Small dodecahemidodecacron |
| Vertex figure | File:Small dodecahemidodecahedron vertfig.png 5.10.5/4.10 |
| Bowers acronym | Sidhid |
In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as Template:Math. It has 18 faces (12 pentagons and 6 decagons), 60 edges, and 30 vertices.[1] Its vertex figure alternates two regular pentagons and decagons as a crossed quadrilateral.
It is a hemipolyhedron with six decagonal faces passing through the model center.
Related polyhedra
It shares its edge arrangement with the icosidodecahedron (its convex hull, having the pentagonal faces in common), and with the small icosihemidodecahedron (having the decagonal faces in common).
| File:Icosidodecahedron.png Icosidodecahedron |
File:Small icosihemidodecahedron.png Small icosihemidodecahedron |
File:Small dodecahemidodecahedron.png Small dodecahemidodecahedron |
References
External links
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- Uniform polyhedra and duals
Template:Nonconvex polyhedron navigator
- ↑ Script error: No such module "citation/CS1".