Gyrowedged omnisnub bitetrahedral tetracontoctachoron

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Gyrowedged omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymGywosbitac
Elements
Cells288 phyllic disphenoids, 576+576 irregular tetrahedra, 288 digonal-rectangular gyrowedges, 192 chiral triangular antipodiums, 48 snub tetrahedra
Faces192+192 triangles, 576+576+576+576+576+576+576+576 scalene triangles, 144 rectangles
Edges288+288+288+576+576+576+576+576
Vertices576
Vertex figure13-vertex polyhedron
Measures (edge length 1)
Central density1
Related polytopes
ArmyGywosbitac
RegimentGywosbitac
DualTridecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count62208
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

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.