Faceted rectified great hecatonicosachoron

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Faceted rectified great hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymFroghi
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Measures (edge length 1)
Circumradius
Number of external pieces503040
Level of complexity1197
Related polytopes
ArmyRox
RegimentRighi
ConjugateRetroinverted hecatonicosihexacosichoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The faceted rectified great hecatonicosachoron, or froghi, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra and 600 truncated tetrahedra. Five icosidodecahedra and ten truncated tetrahedra meet at each vertex.

It has great icosahedra and great dodecahemicosahedra as pseudofacets.

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 great hecatonicosachoron.

External links[edit | edit source]