Quasiprismatohecatonicosachoron

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Quasiprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymQuiphi
Coxeter diagram(x5/2o5o5/3x)/2 (/2)
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagonal retroprism, edge lengths (5–1)/2 (base) and 2 (side)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSissid–5/2–stip: 54°
 Stip–4–stip:
Central density–573
Number of external pieces767040
Level of complexity2423
Related polytopes
ArmyRox
RegimentRigfix
ConjugateSmall prismatohecatonicosachoron
Convex coreJoined hexacosichoron
Abstract & topological properties
Flag count57600
Euler characteristic–480
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits4
ConvexNo
NatureTame

The quasiprismatohecatonicosachoron, or quiphi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra and 720 pentagrammic prisms. 2 small stellated dodecahedra and 10 pentagrammic prisms join at each vertex.

A double cover of this polychoron can be formed by pushing the cells of the grand stellated hecatonicosachoron inward.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]