Prismatic transitional biomnisnub tetracontoctachoron
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| Prismatic transitional biomnisnub tetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Petbosc |
| Elements | |
| Cells | 1152 irregular tetrahedra, 576 phyllic disphenoids, 192 gyrated rectified triangular prisms, 144 square gyroprisms, 48 snub cubes |
| Faces | 1152+1152+1152+1152+1152 scalene triangles, 384 triangles, 288 rectangles, 288 squares |
| Edges | 576+576+576+576+1152+1152+1152 |
| Vertices | 1152 |
| Vertex figure | 10-vertex polyhedron with 2 pentagons, 2 tetragons, and 6 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Petbosc |
| Regiment | Petbosc |
| Dual | Decahedral chiliahecatonpentacontadichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (F4×2)+, order 1152 |
| Convex | Yes |
| Nature | Tame |
The prismatic transitional biomnisnub tetracontoctachoron or petbosc is a convex isogonal polychoron that consists of 48 snub cubes, 144 square gyroprisms, 192 gyrated rectified triangular prisms, 576 phyllic disphenoids, and 1152 irregular tetrahedra. 1 snub cube, 1 sqsuare gyroprism, 2 gyrated rectified triangular prisms, 2 phyllic disphenoids, and 4 irregluar tetrahedra join at each vertex. It is one of a total of 8 polychora that can be formed as the convex hull of 2 opposite snub icositetrachora.