Bi-hecatonicosastellated dodecakis hecatonicosachoron

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Bi-hecatonicosastellated dodecakis hecatonicosachoron
Rank4
TypeIsotopic
Elements
Cells1200 monotruncated kite pyramids
Faces600+600+600 isosceles triangles, 1200 irregular tetragons, 600 pentagons
Edges240+600+600+600+1200
Vertices120+120+600
Vertex figure600 edge-stellated triakis tetrahedra, 120 pentagonal tegums, 120 pentagonal antitegums
Measures (edge length 1)
Central density1
Related polytopes
DualBi-hecatonicosadiminished truncated hexacosichoron
Abstract & topological properties
Flag count52800
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexYes
NatureTame

The bi-hecatonicosastellated dodecakis hecatonicosachoron is a convex isochoric polychoron with 1200 monotruncated kite pyramids as cells.

Each cell of this polychoron has mirror symmetry, with 1 pentagon, 2 irregular tetragons, and 3 isosceles triangles for faces.