Enneahedral pentacosiheptacontahexachoron
Jump to navigation
Jump to search
| Enneahedral pentacosiheptacontahexachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | p3p4p3p |
| Elements | |
| Cells | 576 8-vertex enneahedra |
| Faces | 1152 scalene triangles, 576 isosceles triangles, 576 kites, 288 rhombi |
| Edges | 144+384+1152+1152 |
| Vertices | 48+192+576 |
| Vertex figure | 576 phyllic disphenoids, 192 triangular gyrotegums, 48 pentagonal icositetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Snub tetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (F4×2)+, order 1152 |
| Convex | Yes |
| Nature | Tame |
The enneahedral pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 identical cells. It is dual to the snub tetracontoctachoron.
Each cell of this honeycomb has bilateral symmetry, with 1 rhombus, 2 kites, 2 isosceles triangles, and 4 scalene triangles for faces.