Retrofrustary prismatohexacosipentishecatonicosachoron

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Retrofrustary prismatohexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRafpixophi
Elements
Cells120 did, 600 oct, 120 giid 120 gird, 120 sidditdid, 120 idtid, 1200 hip
Faces4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateNifpixophi
Abstract & topological properties
Euler characteristic6360
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The retrofrustary prismatohexacosipentishecatonicosachoron, or rafpixophi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great icosicosidodecahedra, 120 great rhombidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two great icosicosidodecahedra, two great rhombidodecahedra, two small ditrigonal dodecicosidodecahedra, four icosidodecatruncated icosidodecahedra, 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]