Great spinoretrosnub prismatosnub dishexacositetrishexacosichoron

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Great spinoretrosnub prismatosnub dishexacositetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGnarsip sadixtux
Elements
Cells600 great icosahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 icosidodecadodecahedra, 600 great dodecicosidodecahedra, 600 great dodecicosahedra, 3600 pentagonal prisms
Faces21600 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 1200 golden hexagrams, 7200 decagrams, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall spinoretrosnub prismatosnub dishexacositetrishexacosichoron
Abstract & topological properties
Euler characteristic29400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great spinoretrosnub prismatosnub dishexacositetrishexacosichoron, or gnarsip sadixtux, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 2400 octahemioctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 icosidodecadodecahedra, 600 great dodecicosidodecahedra, 600 great dodecicosahedra, and 3600 pentagonal prisms.

One great icosahedron, two great dodecahedra (two compounds), four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five icosidodecadodecahedra, five great dodecicosidodecahedra, five great dodecicosahedra, and five pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary tetrishecatonicosihexacosichora and 5 great dipentary hecatonicosiprismatohecatonicosihexacosichora. In the process, some of the octahemioctahedron and cubohemioctahedron cells blend out.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]