Polar facetopental prismatohexacosihecatonicosachoron

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Polar facetopental prismatohexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymLifpipixhi
Elements
Cells120 saddid, 600 oct, 720 pip
Faces1200+2400 triangles, 1800 squares, 1440 pentagons, 720 decagons
Edges3600
Vertices720
Edge figureoct.saddid.saddid.pip.pip.pip.saddid.saddid.oct
Measures (edge length 1)
Circumradius
Number of external pieces17520
Level of complexity33
Related polytopes
ArmyRox
RegimentRox
ConjugateOmnifacetopental prismatohexacosihecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic3240
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The polar facetopental prismatohexacosihecatonicosachoron, or lifpipixhi, is a nonconvex uniform polychoron that consists of 120 small dodecicosidodecahedra, 600 octahedra, and 720 pentagonal prisms.

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]