Great dipentary trishecatonicosidishecatonicosachoron

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Great dipentary trishecatonicosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidpathidy
Elements
Cells120 sissid, 120 ike, 120 ri, 120 giddy, 120 qrid
Faces2400 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentGidipthi
ConjugateSmall dipentary trishecatonicosidishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic4200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great dipentary trishecatonicosidishecatonicosachoron, or gidpathidy, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 120 rhombicosahedra, 120 great dodecicosahedra, and 120 quasirhombicosidodecahedra. One small stellated dodecahedron, one icosahedron, five rhombicosahedra, five great dodecicosahedra, and five quasirhombicosidodecahedra 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]