Enneahedral chiliahecatonpentacontadichoron

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Enneahedral chiliahecatonpentacontadichoron
Rank4
TypeIsotopic
Elements
Cells1152 8-vertex enneahedra
Faces1152+1152+1152 scalene triangles, 576 irregular tetragons, 1152 kites
Edges288+288+384+1152+1152+1152+1152
Vertices48+144+192+1152
Vertex figure1152 irregular tetrahedra, 192 gyrostellated joined triangular prisms, 144 square antitegums, 48 pentagonal icositetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualPrismatic transitional omnisnub bitetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4+×2, order 1152
ConvexYes
NatureTame

The enneahedral chiliahecatonpentacontadichoron is a convex isochoric polychoron with 1152 identical cells. It can be obtained as the dual of the prismatic transitional omnisnub bitetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 1 kite, 2 irregular tetragons, and 6 scalene triangles for faces.