Small gyrowedged biomnisnub tetracontoctachoron
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| Small gyrowedged biomnisnub tetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sigawbosc |
| Elements | |
| Cells | 1152 irregular tetrahedra, 576 phyllic disphenoids, 576 digonal-rectangular gyrowedges, 192 triangular gyroprisms, 144 square gyroprisms, 48 snub cubes |
| Faces | 1152+1152+1152+1152+1152+1152 scalene triangles, 384 triangles, 288 rectangles, 288 squares |
| Edges | 576+576+576+576+576+1152+1152+1152 |
| Vertices | 1152 |
| Vertex figure | 11-vertex polyhedron with 1 pentagon, 4 tetragons, and 7 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Sigawbosc |
| Regiment | Sigawbosc |
| Dual | Small gyronotch intersected hendecahedral chiliahecatonpentacontadichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (F4×2)+, order 1152 |
| Convex | Yes |
| Nature | Tame |
The small gyrowedged biomnisnub tetracontoctachoron or sigawbosc is a convex isogonal polychoron that consists of 48 snub cubes, 144 square gyroprisms, 192 triangular gyroprisms, 576 digonal-rectangular gyrowedges, 576 phyllic disphenoids, and 1152 irregular tetrahedra. 1 snub cube, 1 square gyroprism, 1 triangular gyroprism, 3 digonal-rectangular gyrowedges, 2 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex.
It is one of a total of 8 polychora that can be obtained as the convex hull of 2 snub icositetrachora.