Deltopyramidal hecatonenneacontadichoron

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Deltopyramidal hecatonenneacontadichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm4o3m3m ()
Elements
Cells192 kite pyramids
Faces192+192 scalene triangles, 96 kites
Edges48+64+64+96+96
Vertices8+16+24+32
Vertex figure24 octahedra, 32 hexagonal bipyramids, 16 triakis tetrahedra, 8 deltoidal icositetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualPrismatorhombated tesseract
Abstract & topological properties
Flag count6144
Euler characteristic0
OrientableYes
Properties
SymmetryB4, order 384
ConvexYes
NatureTame

The rhombipyramidal hecatonenneacontadichoron is a convex isochoric polychoron with 192 kite pyramids as cells. It can be obtained as the dual of the prismatorhombated tesseract.

It can also be constructed as the convex hull of a tesseract, a hexadecachoron, an icositetrachoron (as a rectified hexadecachoron), and a rectified tesseract. If the tesseract has edge length 1, the hexadecachoron has edge length , the icositetrachoron has edge length , and the rectified tesseract has edge length .