Square-antitegmatic hecatontetracontatetrachoron

From Polytope Wiki
Jump to navigation Jump to search
Square-antitegmatic hecatontetracontatetrachoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm3o4o3m ()
Elements
Cells144 square antitegums
Faces576 kites
Edges288+384
Vertices48+192
Vertex figure192 triangular bipyramids, 48 cubes
Measures (edge length 1)
Dichoral angle
Central density1
Related polytopes
DualSmall prismatotetracontoctachoron
Abstract & topological properties
Flag count9216
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The square-antitegmatic hecatontetracontatetrachoron is a convex isochoric polychoron with 144 square antitegums as cells. It can be obtained as the dual of the small prismatotetracontoctachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and 2 opposite rectified icositetrachora. If the icositetrachora have edge length 1, the rectified icositetrachora have edge length .

Isogonal derivatives[edit | edit source]

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