Joined square-antitegmatic hecatontetracontatetrachoron

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Joined square-antitegmatic hecatontetracontatetrachoron
Rank4
TypeIsotopic
Elements
Cells576 kite tegums
Faces1152 scalene triangles, 1152 isosceles triangles
Edges288+288+384+1152
Vertices48+144+192
Vertex figure192 joined triangular prisms, 144 square antitegums, 48 rhombic dodecahedra
Measures (edge length 1)
Central density1
Related polytopes
DualRectified small prismatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The joined square-antitegmatic hecatontetracontatetrachoron is a convex isochoric polychoron with 576 kite tegums as cells. It can be obtained as the dual of the rectified small prismatotetracontoctachoron.

Each cell of this polychoron has rectangular pyramidal symmetry, with 4 isosceles triangles and 4 scalene triangles for faces.