Notched enneacontahexachoron
The notched enneacontahexachoron is a convex isochoric polychoron with 96 notches as cells. It can be obtained as the dual of the small rhombated tesseract.
| Notched enneacontahexachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform dual |
| Space | Spherical |
| Notation | |
| Coxeter diagram | m4o3m3o |
| Elements | |
| Cells | 96 notches |
| Faces | 96 isosceles triangles, 192 scalene triangles |
| Edges | 24+64+64+96 |
| Vertices | 8+16+32 |
| Vertex figure | 32 triangular bipyramids, 16 cubes, 8 deltoidal icositetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small rhombated tesseract |
| Abstract properties | |
| Euler characteristic | 0 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | Yes |
| Nature | Tame |
It can also be constructed as the convex hull of a tesseract, a hexadecachoron, and a rectified tesseract. If the tesseract has edge length 1, the hexadecachoron has edge length 2 and the rectified tesseract has edge length .