Triacontadifold icosidodecaswirlchoron

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Triacontadifold icosidodecaswirlchoron
File:Triacontadifold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells1920+1920+1920+1920+1920 phyllic disphenoids
Faces3840+3840+3840+3840 scalene triangles, 1920+1920 isosceles triangles
Edges960+1920+1920+1920+1920+1920
Vertices960
Vertex figurePolyhedron with 40 triangular faces
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic enneacosihexecontachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(32), order 3840
ConvexYes
NatureTame

The triacontadifold icosidodecaswirlchoron is an isogonal polychoron with 9600 phyllic disphenoids of five kinds and 960 vertices. 40 cells join at each vertex. It is the eighth in an infinite family of isogonal icosidodecahedral swirlchora.