Rhombitriacontaswirlic heptacosicosachoron

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Rhombitriacontaswirlic heptacosicosachoron
Rank4
TypeIsotopic
Elements
Cells720 20-vertex tetradecahedra
Faces1440+1440 kites, 720 rhombi, 1440 mirror-symmetric hexagons
Edges480+1440+2880+2880
Vertices480+1440+1440
Vertex figure1440+1440 phyllic disphenoids, 480 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualIcositetrafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(24), order 2880
ConvexYes
NatureTame

The rhombitriacontaswirlic heptacosicosachoron is an isochoric polychoron with 720 identical cells. It is the sixth in an infinite family of isochoric rhombic triacontahedral swirlchora.

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