Polar facetopental hexacosidishecatonicosachoron

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Polar facetopental hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymLifpixady
Elements
Cells120 dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 600 truncated tetrahedra
Faces720 pentagons, 1440 pentagrams, 2400 triangles, 1200 hexagons
Edges3600
Vertices720
Vertex figureFaceted semi-uniform pentagonal prism, edge lengths (5–1)/2 (base) and (1+5)/2 (side)
Measures (edge length 1)
Circumradius
Hypervolume
Number of external pieces364080
Level of complexity647
Related polytopes
ArmyRox
RegimentRighi
ConjugateOfapaxady
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic2040
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The polar facetopental hecatonicosachoron, or lifpixady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 600 truncated tetrahedra. Five dodecadodecahedra, 10 small ditrigonal dodecicosidodecahedra, and 10 truncated tetrahedra meet each vertex.

It also has great complex icosidodecahedra as exotic pseudofacets.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]