Great dipentary dishecatonicosiprismatotrishecatonicosachoron

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Great dipentary dishecatonicosiprismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidpid hipthi
Elements
Cells120 gike, 120 ike, 720 pip, 120 tiggy, 120 qrid, 120 giid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentGidipthi
ConjugateSmall dipentary dishecatonicosiprismatotrishecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic6600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great dipentary dishecatonicosiprismatotrishecatonicosachoron, or gidpid hipthi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 720 pentagonal prisms, 120 truncated great icosahedra, 120 quasirhombicosidodecahedra, and 120 great icosicosidodecahedra. One great icosahedron, one icosahedron, five pentagonal prisms, five truncated great icosahedra, five quasirhombicosidodecahedra, and five great icosicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.

External links[edit | edit source]