Rhombitriacontaswirlic dischiliatetracosichoron

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Rhombitriacontaswirlic dischiliatetracosichoron
Rank4
TypeIsotopic
Elements
Cells2400 20-vertex tetradecahedra
Faces4800+4800 isosceles triangles, 4800 mirror-symmetric hexagons, 2400 rectangular-symmetric octagons
Edges960+4800+9600+9600
Vertices960+4800+4800
Vertex figure4800+4800 phyllic disphenoids, 960 pentagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualOctacontafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(80), order 9600
ConvexYes
NatureTame

The rhombitriacontaswirlic dischiliatetracosichoron is an isochoric polychoron with 2400 identical cells. It is the twentieth in an infinite family of isochoric rhombic triacontahedral swirlchora.

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