Antifrustary hexacositetrishecatonicosachoron

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Antifrustary hexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymAfxuthi
Elements
Cells120 qrid, 120 giid, 120 saddid, 120 sidditdid, 600 toe
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateGafe xuthi
Abstract & topological properties
Euler characteristic4440
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The antifrustary hexacositetrishecatonicosachoron, or afxuthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 600 truncated octahedra. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four truncated octahedra 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]