Antipodial biomnisnub tetracontoctachoron

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Antipodial biomnisnub tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymApbosc
Elements
Cells1152+1152 irregular tetrahedra, 576 phyllic disphenoids, 288 rhombic disphenoids, 384 chiral triangular antipodiums, 192 triangular gyroprisms, 144 square gyroprisms, 48 snub cubes
Faces1152+1152+1152+1152+1152+1152+1152+1152 scalene triangles, 384+384 triangles, 288 squares
Edges576+576+576+576+576+1152+1152+1152+1152
Vertices1152
Vertex figure13-vertex polyhedron with 1 pentagon, 4 tetragons, and 11 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyApbosc
RegimentApbosc
DualTridecahedral chiliahecatonpentacontadichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(F4×2)+, order 1152
ConvexYes
NatureTame

The antipodial biomnisnub tetracontoctachoron or apbosc is a convex isogonal polychoron that consists of 48 snub cubes, 144 square gyroprisms, 192 triangular gyroprisms, 384 chiral triangular antipodiums, 288 tetragonal disphenoids, 576 phyllic disphenoids, and 2304 irregular tetrahedra of two kinds. 1 snub cube, 1 square gyroprism, 1 triangular gyroprism, 2 triangular antipodiums, 1 tetragonal disphenoid, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It is one of a total of 8 polychora that can be formed as the convex hull of 2 snub icositetrachora.