Great snubretrosnub prismatosnub hexishexacosichoron

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Great snubretrosnub prismatosnub hexishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGosirspashox
Elements
Cells600 small stellated dodecahedra, 600 snub disoctahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 compound of two great ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagonal prisms
Faces28800 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 10800 hexagons, 7200 golden hexagrams, 3600 decagrams, 600 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall snubretrosnub prismatosnub hexishexacosichoron
Abstract & topological properties
Euler characteristic35400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great snubretrosnub prismatosnub hexishexacosichoron, or gosirspashox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 1200 great ditrigonal dodecicosidodecahedra (forming 600 compounds of two), 600 icosidodecadodecahedra, and 3600 pentagonal prisms.

One small stellated dodecahedron, two icosahedra (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), ten great ditrigonal dodecicosidodecahedra (ten compounds), five icosidodecadodecahedra, and five pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary hexacosiprismatodishecatonicosachora and 5 great dipentary trishecatonicosihecatonicosihexacosichora. In the process, some of the octahemioctahedron and cuboctahedron 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]