Antifrustary hexacosipentishecatonicosachoron

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Antifrustary hexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymAfxophi
Elements
Cells120 did, 600 oct, 120 gird, 120 giddy, 120 srid, 120 siid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateRafxophi
Abstract & topological properties
Euler characteristic3120
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

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