Antifrustary tetrishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Antifrustary tetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymAfuthi
Elements
Cells120 qrid, 120 giid, 120 srid, 120 siid
Faces4800 triangles, 3600 squares, 2400 hexagons, 1440 pentagons, 1440 pentagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateNone
Abstract & topological properties
Euler characteristic2400
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The antifrustary tetrishecatonicosachoron, or afuthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, 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]