Small disphenoidal omnisnub bitetrahedral tetracontoctachoron

The small disphenoidal omnisnub bitetrahedral tetracontoctachoron or sidwosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 1728 irregular tetrahedra of three kinds. 1 snub tetrahedron, 2 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 12 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Small disphenoidal omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymSidwosbitac
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 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 scalene triangles
Edges288+288+288+288+576+576+576+576+576
Vertices576
Vertex figure14-vertex polyhedron with 1 pentagon, 2 tetragons, and 17 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmySidwosbitac
RegimentSidwosbitac
DualSmall tetradecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count73728
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame