Small disphenoidal omnisnub bitetrahedral tetracontoctachoron
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| Small disphenoidal omnisnub bitetrahedral tetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Sidwosbitac |
| Elements | |
| Cells | 144 rhombic disphenoids, 288+288 phyllic disphenoids, 576+576+576 irregular tetrahedra, 192 chiral triangular antipodiums, 48 snub tetrahedra |
| Faces | 192+192 triangles, 576+576+576+576+576+576+576+576+576+576 scalene triangles |
| Edges | 288+288+288+288+576+576+576+576+576 |
| Vertices | 576 |
| Vertex figure | 14-vertex polyhedron with 1 pentagon, 2 tetragons, and 17 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Sidwosbitac |
| Regiment | Sidwosbitac |
| Dual | Small tetradecahedral pentacosiheptacontahexachoron |
| Abstract & topological properties | |
| Flag count | 73728 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●B3, order 576 |
| Convex | Yes |
| Nature | Tame |
The small disphenoidal omnisnub bitetrahedral tetracontoctachoron or sidwosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 1728 irregular tetrahedra of three kinds. 1 snub tetrahedron, 2 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 12 irregular tetrahedra join at each vertex. However, it cannot be made uniform.