Great snubretrosnub snub pentishecatonicosipentishexacosichoron

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Great snubretrosnub snub pentishecatonicosipentishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGosirsosphipox
Elements
Cells600 small retrosnub disoctahedra, 600 great dodecahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 10800 hexagons, 4800 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 snub pentishecatonicosipentishexacosichoron
Abstract & topological properties
Euler characteristic29400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great snubretrosnub snub pentishecatonicosipentishexacosichoron, or gosirsosphipox, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (falling into pairs in the same hyperplanes, forming 600 small retrosnub disoctahedra), 600 great dodecahedra, 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

Two great icosahedra (two compounds), one great dodecahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five rhombidodecadodecahedra, five great dodecicosidodecahedra, and five truncated tetrahedra (one compound, four single) join at each vertex.

It can be obtained as the blend of 5 great dipentary hexacositetrishecatonicosachora and 5 great dipentary hecatonicosidishexacosichora. 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]