Petrial hemiicosahedron
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| Petrial hemiicosahedron | |
|---|---|
 | |
| Rank | 3 |
| Space | 5-dimensional Euclidean space |
| Notation | |
| Schläfli symbol | |
| Elements | |
| Faces | 6 pentagonal-pentagrammic coils |
| Edges | 15 |
| Vertices | 6 |
| Vertex figure | Pentagonal-pentagrammic coil |
| Petrie polygons | 10 triangles |
| Related polytopes | |
| Army | Hix |
| Dual | Petrial hemiicosahedron |
| Petrie dual | Hemiicosahedron |
| Convex hull | Hexateron |
| Orientation double cover | Great dodecahedron |
| Abstract & topological properties | |
| Flag count | 60 |
| Euler characteristic | -3 |
| Schläfli type | {5,5} |
| Orientable | No |
| Genus | 5 |
The Petrial hemiicosahedron is an abstract polyhedron and regular skew polyhedron in 5-dimensional Euclidean space. It is the Petrie dual of the hemiicosahedron. Its orientation double cover is a great dodecahedron.
Vertex coordinates[edit | edit source]
The vertex coordinates of the petrial hemiicosahedron in 5-dimensional Euclidean space are the same as the those of the hexateron.
External links[edit | edit source]
- Hartley, Michael. "{5,3}*60".
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