Small omnisnub bitetracontoctachoron
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| Small omnisnub bitetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sosbic |
| Elements | |
| Cells | 1152+1152 irregular tetrahedra, 576 phyllic disphenoids, 288 tetragonal disphenoids, 192 triangular gyroprisms, 144 square antiprisms, 48 snub cubes |
| Faces | 1152+1152+1152+1152+1152 scalene triangles, 1152+1152 isosceles triangles, 384 triangles, 288 squares |
| Edges | 576+576+576+1152+1152+1152+1152 |
| Vertices | 1152 |
| Vertex figure | 11-vertex polyhedron with 1 pentagon, 2 tetragons, and 11 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Sosbic |
| Regiment | Sosbic |
| Dual | Hendecahedral chiliahecatonpentacontadichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4+×2, order 1152 |
| Convex | Yes |
| Nature | Tame |
The small omnisnub bitetracontoctachoron or sosbic is a convex isogonal polychoron that consists of 48 snub cubes, 144 square antiprisms, 192 triangular gyroprisms, 288 tetragonal disphenoids, 576 phyllic disphenoids, and 2304 irregular tetrahedra of two kinds. 1 snub cube, 1 square antiprism, 1 triangular gyroprism, 1 tetragonal disphenoid, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the small biomnitruncatotetracontoctachoron.