Small snub tetrahedral-transitional hecatonicosachoron
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| Small snub tetrahedral-transitional hecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sastethi |
| Elements | |
| Cells | 720+720 phyllic disphenoids, 1440 irregular tetrahedra, 120 snub tetrahedra, 120 antipodiated snub tetrahedra |
| Faces | 480+480 triangles, 1440+1440+1440+1440+1440+1440 scalene triangles |
| Edges | 720+720+720+1440+1440+1440+1440 |
| Vertices | 1440 |
| Vertex figure | 11-vertex polyhedron |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Sastethi |
| Regiment | Sastethi |
| Dual | Small hendecahedral chilliatetracositetracontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●H3, order 1440 |
| Convex | Yes |
| Nature | Tame |
The small snub tetrahedral-transitional hecatonicosachoron or sastethi is a convex isogonal polychoron that consists of 120 antipodiated snub tetrahedra, 120 snub tetrahedra, 1440 phyllic disphenoids of two kinds, and 1440 irregular tetrahedra. 2 antipodiated snub tetrahedra, 1 snub tetrahedron, 4 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.