Cubic transitional omnisnub bitetracontoctachoron
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| Cubic transitional omnisnub bitetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Catosbic |
| Elements | |
| Cells | 1152 irregular tetrahedra, 288 tetragonal disphenoids, 192 triangular gyroprisms, 48 gyrated great rhombicuboctahedra |
| Faces | 1152+1152+1152 scalene triangles, 1152 isosceles triangles, 384 triangles, 144 octagons |
| Edges | 576+576+1152+1152+1152 |
| Vertices | 1152 |
| Vertex figure | Irregular triangular-pentagonal gyrowedge |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Catosbic |
| Regiment | Catosbic |
| Dual | Octahedral chiliahecatonpentacontadichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4+×2, order 1152 |
| Convex | Yes |
| Nature | Tame |
The cubic transitional omnisnub bitetracontoctachoron or catosbic, also known as the octahedral transitional omnisnub bitetracontoctachoron, is a convex isogonal polychoron that consists of 48 gyrated great rhombicuboctahedra, 192 triangular gyroprisms, 288 tetragonal disphenoids, and 1152 irregular tetrahedra. 2 gyrated great rhombicuboctahedra, 1 triangular gyroprism, 1 tetragonal disphenoid, and 4 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the octahedral transitional biomnitruncatotetracontoctachoron.