Disphenoidal diacosioctacontoctachoron
The disphenoidal diacosioctacontoctachoron is a convex isochoric polychoron with 288 digonal disphenoids as cells. It is a variant of the bitetracontoctachoron with single icositetrachoric symmetry.
| Disphenoidal diacosioctacontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 288 digonal disphenoids |
| Faces | 288+288 isosceles triangles |
| Edges | 96+96+144 |
| Vertices | 24+24 |
| Vertex figure | 24+24 triakis octahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Icositetricositetrachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | Yes |
| Nature | Tame |
It can also be formed as the convex hull of two dually oriented icositetrachora where the larger one has edges less than times the length of those of the smaller one.