Icositetrafold icosidodecaswirlchoron

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Icositetrafold icosidodecaswirlchoron
File:Icositetrafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells1440+1440 phyllic disphenoids, 480 triangular gyroprisms
Faces2880+2880 scalene triangles, 1440 isosceles triangles, 480 triangles
Edges720+1440+1440+1440
Vertices720
Vertex figurePolyhedron with 4 tetragons and 16 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic heptacosicosachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(24), order 2880
ConvexYes
NatureTame

The icositetrafold icosidodecaswirlchoron is an isogonal polychoron with 480 triangular gyroprisms, 2880 phyllic disphenoids of two kinds, and 720 vertices. 4 triangular gyroprisms and 16 phyllic disphenoids join at each vertex. It is the sixth in an infinite family of isogonal icosidodecahedral swirlchora.