Dodecafold icosidodecaswirlchoron

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.

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