Small snub truncatotetrahedral hecatonicosachoron
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| Small snub truncatotetrahedral hecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sestuthi |
| Elements | |
| Cells | 720 phyllic disphenoids, 480 chiral triangular antipodiums, 480 triangular-ditrigonal gyrowedges, 120 truncated tetrahedra, 120 snub tetrahedra |
| Faces | 480+480 triangles, 1440+1440+1440+1440 scalene triangles, 480 ditrigons |
| Edges | 720+720+1440+1440+1440+1440 |
| Vertices | 1440 |
| Vertex figure | 10-vertex polyhedron |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Sestuthi |
| Regiment | Sestuthi |
| Dual | Apiculatodecahedral chiliatetracositetracontachoron |
| Abstract & topological properties | |
| Flag count | 97920 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●H3, order 1440 |
| Convex | Yes |
| Nature | Tame |
The small snub truncatotetrahedral hecatonicosachoron or sestuthi is a convex isogonal polychoron that consists of 120 truncated tetrahedra, 120 snub tetrahedra, 480 chiral triangular antipodiums, 480 triangular-ditrigonal gyrowedges, and 720 phyllic disphenoids. 1 snub tetrahedron, 1 truncated tetrahedron, 2 triangular antipodiums, 3 triangular-ditrigonal gyrowedges, and 2 phyllic disphenoids join at each vertex. However, it cannot be made scaliform.