Great based dipentary tetrishecatonicosihexacosichoron

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Great based dipentary tetrishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGabdupthix
Elements
Cells120 gike, 120 ike, 600 co, 120 ri, 120 giddy
Faces4800 triangles, 3600 squares, 2400 hexagons, 720 decagrams
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentGidipthi
ConjugateSmall based dipentary tetrishecatonicosihexacosichoron
Abstract & topological properties
Flag count201600
Euler characteristic4680
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great based dipentary tetrishecatonicosihexacosichoron, or gabdupthix, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 600 cuboctahedra, 120 rhombicosahedra, and 120 great dodecicosahedra. One great icosahedron, one icosahedron, five cuboctahedra, five rhombicosahedra, and five great dodecicosahedra 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]