Antifrustary prismatotrishecatonicosihexacosichoron

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Antifrustary prismatotrishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymAfpathix
Elements
Cells120 did, 600 oct, 120 qrid, 120 giid, 1200 hip
Faces4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateAfpixthi
Abstract & topological properties
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The antifrustary prismatotrishecatonicosihexacosichoron, or afpathix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasirhombicosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two quasirhombicosidodecahedra, two great icosicosidodecahedra, 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]