| Six cube enneahedron | |
|---|---|
| |
| Faces | 9: 6 crossed hexagons 3 square |
| Edges | 24 |
| Vertices | 16 |
| Euler characteristic | 1 |
| Genus | 1 |
| Symmetry group | [2+,6], (2*3), order 12 |
| Rotation group | [3,3], (*332), order 24 |
| Dual polyhedron | ? |
| Properties | Nonorientable |
In geometry, a four-cube enneahedron is a non-orientable enneahedron. It has 9 faces, 24 edges, and 16 vertices. It has [3,3] symmetry order 24.
It has 6 crossed hexagons, 
, and 4 central squares.
It was constructed as a simple example of a non-orientable polyhedron. Its Euler_characteristic is one, and its genus is 1.