Great disphenoidal omnisnub bitetrahedral tetracontoctachoron

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Great disphenoidal omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymGidwosbitac
Elements
Cells144 rhombic disphenoids, 288+288+288 phyllic disphenoids, 576+576+576+576 irregular tetrahedra, 192 chiral triangular antipodiums, 48 snub tetrahedra
Faces192+192 triangles, 576+576+576+576+576+576+576+576+576+576+576+576+576 scalene triangles
Edges288+288+288+288+288+576+576+576+576+576+576
Vertices576
Vertex figure17-vertex polyhedron with 1 pentagon, 2 tetragons, and 23 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyGidwosbitac
RegimentGidwosbitac
DualHeptadecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count94464
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The great disphenoidal omnisnub bitetrahedral tetracontoctachoron or gidwosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 144 rhombic disphenoids, 864 phyllic disphenoids of three kinds, and 2304 irregular tetrahedra of four kinds. 1 snub tetrahedron, 2 triangular antipodiums, 1 rhombic disphenoid, 6 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex. However, it cannot be made uniform.