Octaswirlic hecatonenneacontadichoron

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Octaswirlic hecatonenneacontadichoron
Rank4
TypeIsotopic
Elements
Cells192 rhombistellated triambic gyroprisms
Faces576 isosceles triangles, 288 rhombi, 192 triambi
Edges144+1152
Vertices144+288
Vertex figure288 rhombic disphenoids, 144 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualIcositetrafold cubiswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(24), order 1152
ConvexYes
NatureTame

The octaswirlic hecatonenneacontadichoron, also known as the octswirl 192, is an isochoric polychoron with 192 rhombistellated triambic gyroprisms as cells. It is the second in an infinite family of isochoric octahedral swirlchora.

Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triambi, 3 rhombi, and 6 isosceles triangles for faces.

Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora: