Antifrustary prismatotetrishecatonicosachoron

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Antifrustary prismatotetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymAfupthi
Elements
Cells120 qrid, 120 giid, 120 saddid, 120 sidditdid, 1200 hip
Faces4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateGafupthi
Abstract & topological properties
Euler characteristic4440
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The antifrustary prismatotetrishecatonicosachoron, or afupthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 1200 hexagonal prisms. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, 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]