Petrial hemiicosahedron
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Petrial hemiicosahedron | |
---|---|
Rank | 3 |
Dimension | 5 |
Type | Regular |
Notation | |
Schläfli symbol | |
Elements | |
Faces | 6 pentagonal-pentagrammic coils |
Edges | 15 |
Vertices | 6 |
Vertex figure | Pentagonal-pentagrammic coil |
Petrie polygons | 10 triangles |
Holes | 10 triangles |
Related polytopes | |
Army | Hix |
Dual | Petrial hemiicosahedron |
Petrie dual | Hemiicosahedron |
φ 2 | Hemiicosahedron |
Convex hull | Hexateron |
Orientation double cover | {5,5∣3} |
Abstract & topological properties | |
Flag count | 60 |
Euler characteristic | -3 |
Schläfli type | {5,5} |
Orientable | No |
Genus | 5 |
Skeleton | K 6 |
The Petrial hemiicosahedron is an abstract polyhedron and regular skew polyhedron in 5-dimensional Euclidean space.
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 5-simplex.
Related polytopes[edit | edit source]
It is the Petrie dual of the hemiicosahedron. It is the halving of the Gordan map.
It is the hemi-polytope of the great dodecahedron and small stellated dodecahedron.
External links[edit | edit source]
- Hartley, Michael. "{5,3}*60".
- Wedd, N. C5:{5,5}
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