Rhombitriacontaswirlic chiliatriacosicosachoron

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Rhombitriacontaswirlic chiliatriacosicosachoron
Rank4
TypeIsotopic
Elements
Cells1320 32-vertex octadecahedra
Faces2640 isosceles triangles, 2640+2640 kites, 1320 rectangular-symmetric octagons, 2640 mirror-symmetric enneagons
Edges2640+2640+5280+5280+5280
Vertices2640+2640+2640+2640
Vertex figure2640+2640+2640+2640 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualTetracontatetrafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(44), order 5280
ConvexYes
NatureTame

The rhombitriacontaswirlic chiliatriacosicosachoron is an isochoric polychoron with 1320 identical cells. It is the eleventh in an infinite family of isochoric rhombic triacontahedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetric enneagons, 2 rectangular-symmetric octagons, 8 kites, and 4 isosceles triangles for faces.