Great icosihemidodecahedron
| Great icosihemidodecahedron | |
|---|---|
| File:Great icosihemidodecahedron.png | |
| Type | Uniform star polyhedron |
| Elements | F = 26, E = 60 V = 30 (χ = −4) |
| Faces by sides | 20{3}+6{10/3} |
| Coxeter diagram | Template:CDD |
| Wythoff symbol | 5/3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U71, C85, W106 |
| Dual polyhedron | Great icosihemidodecacron |
| Vertex figure | File:Great icosihemidodecahedron vertfig.png 3.10/3.3/2.10/3 |
| Bowers acronym | Geihid |
In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. It has 26 faces (20 triangles and 6 decagrams), 60 edges, and 30 vertices.[1] Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with 6 decagrammic faces passing through the model center.
Related polyhedra
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the triangular faces in common), and with the great dodecahemidodecahedron (having the decagrammic faces in common).
Gallery
| File:Great icosihemidodecahedron.png Traditional filling |
File:Great icosihemidodecahedron 2.png Modulo-2 filling |
See also
References
External links
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- Uniform polyhedra and duals
Template:Nonconvex polyhedron navigator
- ↑ Script error: No such module "citation/CS1".