Octacontafold icosidodecaswirlchoron

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Octacontafold icosidodecaswirlchoron
File:Octacontafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells4800+4800 phyllic disphenoids, 960 pentagonal gyroprisms
Faces9600+9600 scalene triangles, 4800 isosceles triangles, 960 pentagons
Edges2400+4800+4800+4800
Vertices2400
Vertex figurePolyhedron with 4 tetragons and 16 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic dischiliatetracosichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(80), order 9600
ConvexYes
NatureTame

The octacontafold icosidodecaswirlchoron is an isogonal polychoron with 960 pentagonal gyroprisms, 9600 phyllic disphenoids of two kinds, and 2400 vertices. 4 pentagonal gyroprisms and 16 phyllic disphenoids join at each vertex. It is the twentieth in an infinite family of isogonal icosidodecahedral swirlchora.