Cubiswirlic hecatontetracontatetrachoron

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Cubiswirlic hecatontetracontatetrachoron
Rank4
TypeIsotopic
Elements
Cells144 rhombistellated tetrambic gyroprisms
Faces576 isosceles triangles, 288 rhombi, 144 tetrambi
Edges192+1152
Vertices192+288
Vertex figure288 rhombic disphenoids, 192 triangular gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualIcositetrafold octaswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(24), order 1152
ConvexYes
NatureTame

The cubiswirlic hecatontetracontatetrachoron, also known as the cubeswirl 144, is an isochoric polychoron with 144 rhombistellated tetrambic gyroprisms as cells. It is the sixth in an infinite family of isochoric cubic swirlchora.

Each cell of this polychoron has chiral square prismatic symmetry, with 2 tetrambi, 4 rhombi, and 8 isosceles triangles for faces.

Isogonal derivatives[edit | edit source]

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