Triantitegmatoswirlic heptacontadichoron

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Triantitegmatoswirlic heptacontadichoron
File:Triantitegmatoswirlic heptacontadichoron.png
Rank4
TypeIsotopic
Elements
Cells72 18-vertex dodecahedra
Faces144 irregular tetragons, 72 kites, 72 isosceles trapezoids, 72+72 mirror-symmetric hexagons
Edges24+72+144+144+144+144
Vertices24+72+72+144
Vertex figure144 irregular tetrahedra, 72+72 phyllic disphenoids, 24 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualDodecafold triantiprismatoswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry((G2×A1)/2)●I2(12), order 144
ConvexYes
NatureTame

The triantitegmatoswirlic heptacontadichoron is an isochoric polychoron with 72 identical cells. It is the second in an infinite family of isochoric triangular antitegmatic swirlchora.

Each cell of this polychoron has bilateral symmetry, with 4 mirror-symmetric hexagons, 2 isosceles trapezoids, 2 kites, and 4 irregular tetragons for faces.