Prismatic transitional omnisnub bitetracontoctachoron

The prismatic transitional omnisnub bitetracontoctachoron or petosbic is a convex isogonal polychoron that consists of 48 snub cubes, 144 square antiprisms, 192 gyrated rectified triangular prisms, and 1152 irregular tetrahedra. 1 snub cube, 1 square antiprism, 2 gyrated rectified triangular prisms, and 4 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the prismatic transitional biomnitruncatotetracontoctachoron.

Prismatic transitional omnisnub bitetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymPetosbic
Elements
Cells1152 irregular tetarhedar, 192 gyrated rectified triangular prisms, 144 square antiprisms, 48 snub cubes
Faces1152+1152+1152 scalene triangles, 1152 isosceles triangles, 384 triangles, 288+288 squares
Edges576+1152+1152+1152+1152
Vertices1152
Vertex figure9-vertex polyhedron with 2 pentagons, 2 tetragons, and 4 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyPetosbic
RegimentPetosbic
DualEnneahedral chiliahecatonpentacontadichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4+×2, order 1152
ConvexYes
NatureTame