Rhombitriacontaswirlic chiliaoctacontachoron

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Rhombitriacontaswirlic chiliaoctacontachoron
Rank4
TypeIsotopic
Elements
Cells1080 20-vertex tetradecahedra
Faces2160 kites, 1080 rhombi, 2160+2160 mirror-symmetric pentagons
Edges720+2160+4320+4320
Vertices720+2160+2160
Vertex figure2160+2160 phyllic disphenoids, 720 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualTriacontahexafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(36), order 4320
ConvexYes
NatureTame

The rhombitriacontaswirlic chiliaoctacontachoron is an isochoric polychoron with 1080 identical cells. It is the ninth in an infinite family of isochoric rhombic triacontahedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 8 pentagons, 2 rhombi, and 4 kites, for faces.