Dodecafold icosidodecaswirlchoron

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Dodecafold icosidodecaswirlchoron
File:Dodecafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
Elements
Cells720+720+720 phyllic disphenoids, 240 triangular gyroprisms
Faces1440+1440+1440 scalene triangles, 720 isosceles triangles, 240 triangles
Edges360+720+720+720+720
Vertices360
Vertex figurePolyhedron with 4 tetragons and 24 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic triacosihexecontachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(12), order 1440
ConvexYes
NatureTame

The dodecafold icosidodecaswirlchoron is an isogonal polychoron with 240 triangular gyroprisms, 2160 phyllic disphenoids of three kinds, and 360 vertices. 4 triangular gyroprisms and 24 phyllic disphenoids join at each vertex. It is the third in an infinite family of isogonal icosidodecahedral swirlchora.

The ratio between the longest and shortest edges is 1: ≈ 1:1.96681.