Deltoicositetraswirlic hecatonenneacontadichoron

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Deltoicositetraswirlic hecatonenneacontadichoron
Rank4
TypeIsotopic
Elements
Cells192 18-vertex dodecahedra
Faces192+192+192 kites, 192+192 mirror-symmetric pentagons, 192 mirror-symmetric hexagons
Edges48+192+384+384+384+384
Vertices48+96+96+192+384
Vertex figure384 irregular tetrahedra, 192 phyllic disphenoids, 96+96 rhombic disphenoids, 48 square antitegums
Measures (edge length 1)
Central density1
Related polytopes
DualOctafold small rhombicuboctaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(8), order 384
ConvexYes
NatureTame

The deltoicositetraswirlic hecatonenneacontadichoron is an isochoric polychoron with 192 identical cells. It is the first in an infinite family of isochoric deltoidal icositetrahedral swirlchora.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 4 mirror-symmetric pentagons, and 6 kites for faces.