Deltopyramidal heptachiliadiacosichoron

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Deltopyramidal heptachiliadiacosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm5o3m3m ()
Elements
Cells7200 kite pyramids
Faces7200+7200 scalene triangles, 3600 kites
Edges1440+2400+2400+3600+3600
Vertices120+600+720+1200
Vertex figure720 pentagonal bipyramids, 1200 hexagonal bipyramids, 600 triakis tetrahedra, 120 deltoidal hexecontahedra
Measures (edge length 1)
Central density1
Related polytopes
DualPrismatorhombated hecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The deltopyramidal heptachiliadiacosichoron is a convex isochoric polychoron with 7200 kite pyramids as cells. It can be obtained as the dual of the prismatorhombated hecatonicosachoron.

It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, a rectified hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length , the rectified hexacosichoron has edge length , and the rectified hecatonicosachoron has edge length .