Octaswirlic diacosioctacontoctachoron

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Octaswirlic diacosioctacontoctachoron
Rank4
TypeIsotopic
Elements
Cells288 18-vertex tetradecahedra
Faces864 isosceles triangles, 864 rhombi, 288 triangular-symmetric enneagons
Edges216+864+1728
Vertices216+864
Vertex figure864 phyllic disphenoids, 216 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualTriacontahexafold cubiswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(36), order 1728
ConvexYes
NatureTame

The octaswirlic diacosioctacontoctachoron, also known as the octswirl 288, is an isochoric polychoron with 288 identical cells. It is the third in an infinite family of isochoric octahedral swirlchora.

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