Hemidodecahedron (5-dimensional)
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| Hemidodecahedron (5-dimensional) | |
|---|---|
| Rank | 3 |
| Dimension | 5 |
| Type | Regular |
| Elements | |
| Faces | 6 pentagonal-pentagrammic coils |
| Edges | 15 |
| Vertices | 10 |
| Vertex figure | Triangle |
| Petrie polygons | 6 pentagonal-pentagrammic coils |
| Related polytopes | |
| Dual | Hemiicosahedron |
| Petrie dual | Hemidodecahedron (5-dimensional) |
| Orientation double cover | Dodecahedron |
| Abstract & topological properties | |
| Flag count | 60 |
| Euler characteristic | 1 |
| Schläfli type | {5,3} |
| Orientable | No |
| Genus | 1 |
| Skeleton | Petersen graph |
| Properties | |
| Convex | No |
The 5-dimensional hemidodecahedron is a regular skew polyhedron in 5-dimensional Euclidean space. It is one of two pure realizations of the hemidodecahedron.[1]
External links[edit | edit source]
- Hartley, Michael. "{5,3}*60".
- Wikipedia contributors. "Hemi-dodecahedron".
References[edit | edit source]
Bibliography[edit | edit source]
- McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.
- McMullen, Peter; Schulte, Egon (December 2002). Abstract Regular Polytopes. Cambridge University Press. ISBN 0-521-81496-0.
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