Great capped dipentary tetrishecatonicosihexacosichoron

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Great capped dipentary tetrishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGacdupthix
Elements
Cells120 small stellated dodecahedra, 120 great dodecahedra, 120 rhombidodecadodecahedra, 600 cubohemioctahedra, 120 great dodecicosahedra
Faces3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentGidipthi
ConjugateSmall capped dipentary tetrishecatonicosihexacosichoron
Abstract & topological properties
Flag count201600
Euler characteristic2760
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great capped dipentary tetrishecatonicosahexacosichoron, or gacdupthix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 120 rhombidodecadodecahedra, 600 cubohemioctahedra, and 120 great dodecicosahedra. 1 small stellated dodecahedron, 1 great dodecahedron, 5 rhombidodecadodecahedra, 5 cubohemioctahedra, and 5 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]