Tetracontoctafold icosidodecaswirlchoron

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Tetracontoctafold icosidodecaswirlchoron
File:Tetracontoctafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells2880+2880+2880 phyllic disphenoids, 960 triangular gyroprisms
Faces5760+5760+5760 scalene triangles, 2880 isosceles triangles, 960 triangles
Edges1440+2880+2880+2880+2880
Vertices1440
Vertex figurePolyhedron with 4 tetragons and 24 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic chiliatetracositetracontachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(48), order 5760
ConvexYes
NatureTame

The tetracontoctafold icosidodecaswirlchoron is an isogonal polychoron with 960 triangular gyroprisms, 8640 phyllic disphenoids of three kinds, and 1440 vertices. 4 triangular gyroprisms and 24 phyllic disphenoids join at each vertex. It is the twelfth in an infinite family of isogonal icosidodecahedral swirlchora.