Tetrahedral transitional omnisnub bidecachoron
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| Tetrahedral transitional omnisnub bidecachoron | |
|---|---|
| File:Tetrahedral transitional omnisnub bidecachoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Tetosbid |
| Elements | |
| Cells | 120 irregular tetrahedra, 30 tetragonal disphenoids, 20 triangular gyroprisms, 10 gyrated great rhombitetratetrahedra |
| Faces | 120+120+120 scalene triangles, 120 isosceles triangles, 40 triangles, 20 hexagons |
| Edges | 60+60+120+120+120 |
| Vertices | 120 |
| Vertex figure | Irregular triangular-pentagonal gyrowedge |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Tetosbid |
| Regiment | Tetosbid |
| Dual | Octahedral hecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A4+×2, order 120 |
| Convex | Yes |
| Nature | Tame |
The tetrahedral transitional omnisnub bidecachoron or tetosbid is a convex isogonal polychoron that consists of 10 gyrated great rhombitetratetrahedra, 20 triangular gyroprisms, 30 tetragonal disphenoids, and 120 irregular tetrahedra. 2 gyrated great rhombitetratetrahedra, 1 triangular gyroprism, 1 tetragonal disphenoid, and 4 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the tetrahedral transitional biomnitruncatodecachoron.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.44215, where a is the largest real root of 9x8-36x6+48x4-27x2+4.
External links[edit | edit source]
- Bowers, Jonathan. "Pennic and Decaic Isogonals".