Great omnisnub bitetrahedral tetracontoctachoron

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Great omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymGosbitic
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 576 irregular tetrahedra, 576 skew isosceles trapezoidal pyramids, 192 chiral triangular antipodiums, 48 snub tetrahedra
Faces192+192 triangles, 576+576+576+576+576+576+576 scalene triangles, 576 isosceles trapezoids
Edges288+288+288+288+576+576+576+576
Vertices576
Vertex figure12-vertex polyhedron with 1 pentagon, 3 tetragons, and 13 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyGosbitic
RegimentGosbitic
DualGreat dodecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count64512
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The great omnisnub bitetrahedral tetracontoctachoron or gosbitic is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 576 skew isosceles trapezoidal pyramids, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 576 irregular tetrahedra. 1 snub tetrahedron, 2 triangular antipodiums, 5 isosceles trapezoidal pyramids, 1 rhombic disphenoid, 4 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.