Rhombitriacontaswirlic chiliaoctacosichoron

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Rhombitriacontaswirlic chiliaoctacosichoron
Rank4
TypeIsotopic
Elements
Cells1800 rhombic gyroprisms
Faces3600+3600 isosceles triangles, 1800 rhombi
Edges720+1200+7200
Vertices720+1200
Vertex figure1200 triangular gyrotegums, 720 pentagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexecontafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(60), order 7200
ConvexYes
NatureTame

The rhombitriacontaswirlic chiliaoctacosichoron is an isochoric polychoron with 1800 rhombic antiprisms as cells. It is the fifteenth in an infinite family of isochoric rhombic triacontahedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rhombi and 8 isosceles triangles for faces.