Antipodial omnisnub bitetrahedral tetracontoctachoron

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Antipodial omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymAposbitac
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 576+576 irregular tetrahedra, 192+192 triangular antipodiums, 48 snub tetrahedra
Faces192+192+192 triangles, 576+576+576+576+576+576+576+576+576 scalene triangles
Edges288+288+288+288+576+576+576+576+576
Vertices576
Vertex figure14-vertex polyhedron with 1 pentagon, 4 tetragons, and 13 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyAposbitac
RegimentAposbitac
DualTrapezohedral intersected tetradecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count69120
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The antipodial omnisnub bitetrahedral tetracontoctachoron or aposbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 384 chiral triangular antipodiums of two kinds, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 1152 irregular tetrahedra of two kinds. 1 snub tetrahedron, 4 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made uniform.