Small omnisnub bitetrahedral tetracontoctachoron

The small omnisnub bitetrahedral tetracontoctachoron or sosbitic 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 576 irregular tetrahedra. 1 snub tetrahedron, 4 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Small omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymSosbitic
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 576 irregular tetrahedra, 192+192 chiral triangular antipodiums, 48 snub tetrahedra
Faces192+192+192 triangles, 576+576+576+576+576+576+576 scalene triangles
Edges288+288+288+288+576+576+576+576
Vertices576
Vertex figure12-vertex polyhedron with 1 pentagon, 4 tetragons, and 9 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmySosbitic
RegimentSosbitic
DualSmall dodecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count55296
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame