Retroinverted prismatohecatonicosachoron

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Retroinverted prismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRipahi
Elements
Cells120 great icosidodecahedra
Faces
Edges3600
Vertices720
Vertex figurePentagonal toroprism
Measures (edge length 1)
Circumradius
Number of external pieces92880
Level of complexity184
Related polytopes
ArmyRox
RegimentRigfix
ConjugateFrox
Convex coreJoined hexacosichoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The retroinverted prismatohecatonicosachoron, or ripahi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra and 720 pentagrammic prisms. Five great icosidodecahedra and ten pentagrammic prisms join at each vertex.

It also has small stellated dodecahedra 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 faceted hexacosichoron.

External links[edit | edit source]