Tetraswirlic pentacontahexachoron

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Tetraswirlic pentacontahexachoron
Rank4
TypeIsotopic
Elements
Cells56 24-vertex tetradecahedra
Faces168 kites, 168 mirror-symmetric pentagons, 56 triangular-symmetric enneagons
Edges168+168+336
Vertices168+168
Vertex figure168+168 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualTetradecafold tetraswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3●I2(14), order 336
ConvexYes
NatureTame

The tetraswirlic pentacontahexachoron, also known as the tetswirl 56, is an isochoric polychoron with 56 identical cells. It is the seventh in an infinite family of isochoric tetrahedral swirlchora.

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