Great dipentary prismatotetrishecatonicosachoron

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Great dipentary prismatotetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidpupthi
Elements
Cells120 sissid, 120 gad, 720 pip, 120 tiggy, 120 ri
Faces3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentGidipthi
ConjugateSmall dipentary prismatotetrishecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic1920
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great dipentary prismatotetrishecatonicosachoron, or gidpupthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 720 pentagonal prisms, 120 truncated great icosahedra, and 120 rhombicosahedra. One small stellated dodecahedron, one great dodecahedron, five pentagonal prisms, five truncated great icosahedra, and five rhombicosahedra 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]