Retrofrustary hexacosipentishecatonicosachoron

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Retrofrustary hexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRafxophi
Elements
Cells120 did, 600 oct, 120 qrid, 120 giid, 120 sird, 120 siddy
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateAfxophi
Abstract & topological properties
Euler characteristic3120
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The retrofrustary hexacosipentishecatonicosachoron, or rafxophi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small rhombidodecahedra, and 120 small dodecicosahedra. One dodecadodecahedron, one octahedron, two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small rhombidodecahedra, and two small dodecicosahedra 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]