Retroinverted hexacosihecatonicosachoron

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.

Retroinverted hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRixhi
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagonal toroprism, edge lengths 1 (squares), (5+5)/2 (sides of triangles)
Edge figureoct.oct.tid.tid.tid
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral angleOct–3–oct:
Tid–3–oct:
Tid–10–tid: 36°
Number of external pieces17400
Level of complexity38
Related polytopes
ArmyRox
RegimentRox
ConjugateFaceted rectified great faceted hexacosichoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

It is in the regiment of the rectified hexacosichoron.

Gallery edit

 

 

Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.

External links edit