Faceted rectified hexacosichoron

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Faceted rectified hexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymFrox
Coxeter diagramx3o3/2x5o -600 2thah
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Edge figureid.id.pip.pip.pip
Measures (edge length 1)
Circumradius
Hypervolume
Central density1
Number of external pieces40680
Level of complexity80
Related polytopes
ArmyRox
RegimentRox
ConjugateRetroinverted prismatohecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The faceted rectified hexacosichoron, or frox, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra and 720 pentagonal prisms. 5 icosidodecahedra and 10 pentagonal prisms join at each vertex.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.

External links[edit | edit source]