Antiwedged omnisnub bitetrahedral tetracontoctachoron
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| Antiwedged omnisnub bitetrahedral tetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Awosbitac |
| Elements | |
| Cells | 144 rhombic disphenoids, 288 phyllic disphenoids, 576 irregular tetrahedra, 576 skew isosceles trapezoidal pyramids, 288 tetragonal antiwedges, 192 chiral triangular antipodiums, 48 snub tetrahedra |
| Faces | 192+192 triangles, 576+576+576+576+576+576+576+576 scalene triangles, 576 isosceles trapezoids |
| Edges | 288+288+288+288+576+576+576+576+576 |
| Vertices | 576 |
| Vertex figure | 14-vertex polyhedron with 1 pentagon, 4 tetragons, and 13 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Awosbitac |
| Regiment | Awosbitac |
| Dual | Antiwedge intersected tetradecahedral pentacosiheptacontahexachoron |
| Abstract & topological properties | |
| Flag count | 69120 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●B3, order 576 |
| Convex | Yes |
| Nature | Tame |
The antiwedged omnisnub bitetrahedral tetracontoctachoron or awosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 288 tetragonal antiwedges, 576 skew isosceles trapezoidal pyramids, 144 rhombic disphenoids, 288 phyllic disphenoids, and 576 irregular tetrahedra. 1 snub tetrahedron, 2 triangular antipodiums, 3 tetragonal antiwedges, 5 isosceles trapezoidal pyraids, 1 rhombic disphenoid, 2 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.