Cubiswirlic hecatonenneacontadichoron

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Cubiswirlic hecatonenneacontadichoron
Rank4
TypeIsotopic
Elements
Cells192 40-vertex icosidihedra
Faces768 isosceles triangles, 384 rhombi, 768 mirror-symmetric hexagons, 192 square-symmetric hexadecagons
Edges768+1536+1536
Vertices384+768+768
Vertex figure768+768 phyllic disphenoids, 384 rhombic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualTriacontadifold octaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(32), order 1536
ConvexYes
NatureTame

The cubiswirlic hecatonenneacontadichoron, also known as the cubeswirl 192, is an isochoric polychoron with 192 identical cells. It is the eighth in an infinite family of isochoric cubic swirlchora.

Each cell of this polychoron has chiral square prismatic symmetry, with 2 square-symmetric hexadecagons, 8 mirror-symmetric hexagons, 4 rhombi, and 8 isosceles triangles for faces.