Triacontahexafold icosidodecaswirlchoron

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Triacontahexafold icosidodecaswirlchoron
File:Triacontahexafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells2160+2160 phyllic disphenoids, 720 triangular gyroprisms
Faces4320+4320 scalene triangles, 2160 isosceles triangles, 720 triangles
Edges1080+2160+2160+2160
Vertices1080
Vertex figurePolyhedron with 4 tetragons and 16 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic chiliaoctacontachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(36), order 4320
ConvexYes
NatureTame

The triacontahexafold icosidodecaswirlchoron is an isogonal polychoron with 720 triangular gyroprisms, 4320 phyllic disphenoids of two kinds, and 1080 vertices. 4 triangular gyroprisms and 16 phyllic disphenoids join at each vertex. It is the ninth in an infinite family of isogonal icosidodecahedral swirlchora.