Retrofrustary hecatonicosaprismatohecatonicosachoron

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Retrofrustary hecatonicosaprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRafhiphi
Elements
Cells120 sird, 120 siddy, 1200 hip
Faces5400 squares, 2400 hexagons, 1440 decagons
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateRaffipady
Abstract & topological properties
Euler characteristic–3000
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The retrofrustary hecatonicosaprismatohecatonicosachoron, or rafhiphi, is a nonconvex uniform polychoron that consists of 120 small rhombidodecahedra, 120 small dodecicosahedra, and 1200 hexagonal prisms. Two small rhombidodecahedra, two small dodecicosahedra, and four hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]