Snub bitetrahedral diacositetracontachoron
Jump to navigation
Jump to search
| Snub bitetrahedral diacositetracontachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sobted |
| Elements | |
| Cells | 1440 phyllic disphenoids, 240 snub tetrahedra |
| Faces | 480+480 triangles, 1440 isosceles triangles, 2880 scalene triangles |
| Edges | 1440+1440+1440 |
| Vertices | 720 |
| Vertex figure | Dipentaditritriangular dodecahedron |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dipentaditritridodecahedral heptacosicosachoron |
| Abstract & topological properties | |
| Flag count | 63360 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●H3, order 2880 |
| Convex | Yes |
| Nature | Tame |
The snub bitetrahedral diacositetracontachoron or sobted is a convex isogonal polychoron that consists of 240 snub tetrahedra and 1440 phyllic disphenoids. 4 snub tetrahedra and 8 phyllic disphenoids join at each vertex. However, it cannot be made uniform.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Snub tetrahedron (240): Bitetrahedral diacositetracontachoron