Gyrowedged omnisnub bitetrahedral tetracontoctachoron
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Gyrowedged omnisnub bitetrahedral tetracontoctachoron | |
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Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Gywosbitac |
Elements | |
Cells | 288 phyllic disphenoids, 576+576 irregular tetrahedra, 288 digonal-rectangular gyrowedges, 192 chiral triangular antipodiums, 48 snub tetrahedra |
Faces | 192+192 triangles, 576+576+576+576+576+576+576+576 scalene triangles, 144 rectangles |
Edges | 288+288+288+576+576+576+576+576 |
Vertices | 576 |
Vertex figure | 13-vertex polyhedron |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Army | Gywosbitac |
Regiment | Gywosbitac |
Dual | Tridecahedral pentacosiheptacontahexachoron |
Abstract & topological properties | |
Flag count | 62208 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●B3, order 576 |
Convex | Yes |
Nature | Tame |
The gyrowedged omnisnub bitetrahedral tetracontoctachoron or gywosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 288 digonal-rectangular gyrowedges, 288 phyllic disphenoids, and 1152 irregular tetrahedra of two kinds. 1 snub tetrahedron, 2 triangular antipodiums, 3 digonal-rectangular gyrowedges, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.