Omnifacetopental prismatohexacosihecatonicosachoron

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Omnifacetopental prismatohexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymOfpipixhi
Elements
Cells600 oct, 720 stip, 120 gaddid
Faces3600 triangles, 1800 squares, 1440 pentagrams, 720 decagrams
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces253440
Level of complexity628
Related polytopes
ArmyRox
RegimentRigfix
ConjugateLifpipixhi
Convex coreJoined hexacosichoron
Abstract & topological properties
Euler characteristic3240
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The omnifacetopental prismatohexacosihecatonicosachoron, or ofpipixhi, is a nonconvex uniform polychoron that consists of 600 octahedra, 720 pentagrammic prisms, and 120 great dodecicosidodecahedra. Five octahedra, ten pentagrammic prisms, and ten great dodecicosidodecahedra join at each vertex.

It also has great complex icosidodecahedra and great icosidodecahedra+decagrams as exotic 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 the regiment colonel, the rectified great faceted hexacosichoron.

External links[edit | edit source]