Retroinverted hexacosihecatonicosachoron

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Retroinverted hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRixhi
Elements
Cells120 tid, 600 oct
Faces1200+2400 triangles, 720 decagons
Edges3600
Vertices720
Vertex figurePentagonal toroprism
Edge figureoct.oct.tid.tid.tid
Measures (edge length 1)
Circumradius
Number of external pieces17400
Level of complexity38
Related polytopes
ArmyRox
RegimentRox
ConjugateFaceted rectified great faceted hexacosichoron
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The retroinverted hexacosihecatonicosachoron, or rixhi, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra and 600 octahedra. 5 octahedra and 10 truncated dodecahedra 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]