Faceted rectified hexacosichoron

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Faceted rectified hexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymFrox
Coxeter diagramx3o3/2x5o -600 2thah
Elements
Cells120 id, 720 pip
Faces1200 triangles, 1800 squares, 1440 pentagons
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Edge figureid.id.pip.pip.pip
Measures (edge length 1)
Circumradius
Hypervolume
Number of external pieces40680
Level of complexity80
Related polytopes
ArmyRox
RegimentRox
ConjugateRetroinverted prismatohecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
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.

It is in the regiment of the rectified hexacosichoron.

Gallery[edit | edit source]

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

External links[edit | edit source]