Retroinverted hecatonicosihexacosichoron

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Retroinverted hecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymRihix
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagonal toroprism
Measures (edge length 1)
Circumradius
Number of external pieces10920
Level of complexity32
Related polytopes
ArmyRox
RegimentRagishi
ConjugateFroghi
Convex coreHexacosichoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The retroinverted hecatonicosihexacosichoron, or rihix, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra and 600 truncated tetrahedra. Five great icosidodecahedra and ten truncated tetrahedra join at each vertex.

It also has icosahedra as pseudofacets.

Gallery[edit | edit source]

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

Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]