Rhombidodecaswirlic hecatonenneacontadichoron

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Rhombidodecaswirlic hecatonenneacontadichoron
Rank4
TypeIsotopic
Elements
Cells192 12-vertex decahedra
Faces384 kites, 384 isosceles trapezoids, 192 rhombi
Edges96+384+768
Vertices96+384
Vertex figure384 phyllic disphenoids, 96 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexadecafold cuboctaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(16), order 768
ConvexYes
NatureTame

The rhombidodecaswirlic hecatonenneacontadichoron is an isochoric polychoron with 192 identical cells. It is the second in an infinite family of isochoric rhombic dodecahedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rhombi, 4 isosceles trapezoids, and 4 kites for faces.