Hecatonicosafold icosidodecaswirlchoron

From Polytope Wiki
Jump to navigation Jump to search
Hecatonicosafold icosidodecaswirlchoron
File:Hecatonicosafold icosidodecaswirlchoron.png
Rank4
TypeIsogonal
SpaceSpherical
Elements
Cells7200 phyllic disphenoids, 2400 triangular gyroprisms, 1440 pentagonal gyroprisms
Faces14400+14400 scalene triangles, 2400 triangles, 1440 pentagons
Edges3600+7200+7200+7200
Vertices3600
Vertex figurePolyhedron with 8 tetragons and 8 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRhombitriacontaswirlic trischiliahexacosichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(120), order 14400
ConvexYes
NatureTame

The hecatonicosafold icosidodecaswirlchoron is an isogonal polychoron with 1440 pentagonal gyroprisms, 2400 triangular gyroprisms, 7200 phyllic disphenoids, and 3600 vertices. 4 pentagonal gyroprisms, 4 triangular gyroprisms, and 8 phyllic disphenoids join at each vertex. It is the thirtieth in an infinite family of isogonal icosidodecahedral swirlchora.