Hemidodecahedron (9-dimensional)
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| Hemidodecahedron (9-dimensional) | |
|---|---|
| Rank | 3 |
| Dimension | 9 |
| Type | Regular |
| Elements | |
| Faces | 6 pentagonal-pentagrammic coils |
| Edges | 15 |
| Vertices | 10 |
| Vertex figure | Triangle |
| Petrie polygons | 6 pentagonal-pentagrammic coils |
| Related polytopes | |
| Army | Day |
| Petrie dual | Hemidodecahedron (9-dimensional) |
| Convex hull | 9-simplex |
| Abstract & topological properties | |
| Flag count | 60 |
| Euler characteristic | 1 |
| Schläfli type | {5,3} |
| Orientable | No |
| Genus | 1 |
| Skeleton | Petersen graph |
| Properties | |
| Flag orbits | 1 |
| Convex | No |
| Dimension vector | (4,4,4) |
The hemidodecahedron (9-dimensional) is a regular skew polyhedron in 9-dimensional Euclidean space. It is the simplex realization of the hemidodecahedron, and can be constructed as a blend of the 5-dimensional hemidodecahedron with the 4-dimensional hemidodecahedron.
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