Hexecontafold icosidodecaswirlchoron

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Hexecontafold icosidodecaswirlchoron
File:Hexecontafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells1200 triangular gyroprisms, 720 pentagonal gyroprisms
Faces7200 scalene triangles, 1200 triangles, 720 pentagons
Edges1800+3600+3600
Vertices1800
Vertex figureRectangular gyrotegum
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic chiliaoctacosichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(60), order 7200
ConvexYes
NatureTame

The hexecontafold icosidodecaswirlchoron is an isogonal polychoron with 720 pentagonal gyroprisms, 1200 triangular gyroprisms, and 1800 vertices. 4 pentagonal gyroprisms and 4 triangular gyroprisms join at each vertex. It is the fifteenth in an infinite family of isogonal icosidodecahedral swirlchora.