Hemi-dodecahedron
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| Hemi-dodecahedron | |
|---|---|
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| Type | abstract regular polyhedron |
| Faces | 6 pentagons |
| Edges | 15 |
| Vertices | 10 |
| Vertex configuration | 5.5.5 |
| Symmetry group | A5 |
| Dual | hemi-icosahedron |
| Properties | non-orientable |
A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron. It exists on a hemisphere as a projective plane where opposite points along the boundary are connected.
It has 6 pentagonal faces, 15 edges, and 10 vertices.
From the point of view of graph theory this is an embedding of Petersen graph on a projective plane. With this embedding, the dual graph is K6 (the complete graph with 6 vertices) --- see hemi-icosahedron.
[edit] See also
- 57-cell - an abstract regular polychoron constructed from 57 hemi-dodecahedra.
- hemi-icosahedron
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