Rhombitriacontaswirlic triacosihexecontachoron

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Rhombitriacontaswirlic triacosihexecontachoron
Rank4
TypeIsotopic
Elements
Cells360 28-vertex octadecahedra
Faces720 isosceles triangles, 360 rhombi, 720+720 kites, 720 mirror-symmetric enneagons
Edges240+720+1440+1440+1440
Vertices240+720+720+720
Vertex figure720+720+720 phyllic disphenoids, 240 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualDodecafold icosidodecaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(12), order 1440
ConvexYes
NatureTame

The rhombitriacontaswirlic triacosihexecontachoron is an isochoric polychoron with 360 identical cells. It is the third 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 rhombi, 8 kites, and 4 isosceles triangles for faces.