Retroinverted dishecatonicosachoron

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Retroinverted dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRidhi
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagonal toroprism
Measures (edge length 1)
Circumradius
Number of external pieces13800
Level of complexity34
Related polytopes
ArmyRox
RegimentRighi
ConjugateFaceted rectified great stellated hecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic–240
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The retroinverted dishecatonicosachoron, or ridhi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 truncated great dodecahedra. Five dodecadodecahedra and ten truncated great dodecahedra meet at each vertex.

It 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 hecatonicosachoron.

External links[edit | edit source]