Hemi-cube (geometry)
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| Hemi-cube (geometry) | |
|---|---|
 |
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| Type | abstract regular polyhedron |
| Faces | 3 squares |
| Edges | 6 |
| Vertices | 4 |
| Vertex configuration | 4.4.4 |
| Symmetry group | S4 |
| Dual | hemi-octahedron |
| Properties | non-orientable |
In abstract geometry, a hemi-cube is an abstract regular polyhedron, containing half the faces of a cube. It exists on a hemisphere as a projective plane where opposite points along the boundary are connected.
It has 3 square faces, 6 edges, and 4 vertices.
From the point of view of graph theory this is an embedding of K4 (the complete graph with 4 vertices) on a projective plane.
[edit] See also
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