Tetrahemihexahedron
| Tetrahemihexahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 7, E = 12 V = 6 (χ = 1) |
| Faces by sides | 4{3}+3{4} |
| Coxeter diagram |       (double-covering)
|
| Wythoff symbol | 3/2 3 | 2 (double-covering) |
| Symmetry group | Td, [3,3], *332 |
| Index references | U04, C36, W67 |
| Dual polyhedron | Tetrahemihexacron |
| Vertex figure |  3.4.3/2.4 |
| Bowers acronym | Thah |
In geometry, the tetrahemihexahedron is a nonconvex uniform polyhedron, indexed as U4.
Its 6 vertices and 12 edges, along with its 4 triangular faces, are shared with the regular octahedron.
It is the only nonprismatic uniform polyhedron with an odd number of faces. It is unique as the only uniform polyhedron with an Euler characteristic of 1 and is hence a representation of the real projective plane very similar to the Roman surface.
The "hemi" part of the name means some of the faces pass through the center of the polyhedron, in this case the square faces.
External links
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |