Tetraswirlic heptacontadichoron

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Tetraswirlic heptacontadichoron
Rank4
TypeIsotopic
Elements
Cells72 18-vertex tetradecahedra
Faces216 triangles, 216 rhombi, 72 triangular-symmetric enneagons
Edges72+216+216
Vertices72+216
Vertex figure216 phyllic disphenoids, 72 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualOctadecafold tetraswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3●I2(18), order 432
ConvexYes
NatureTame

The tetraswirlic heptacontadichoron, also known as the tetswirl 72, is an isochoric polychoron with 72 identical cells. It is the ninth in an infinite family of isochoric tetrahedral swirlchora.

Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triangular-symmetric enneagons, 6 rhombi, and 6 trianlges for faces.