Great snubretrosnub tetrishexacositrishexacosichoron

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Great snubretrosnub tetrishexacositrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGosirstuxtix
Elements
Cells600 compound of great icosahedron and small stellated dodecahedron, 600 snub disoctahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 rhombidodecadodecahedra, 600 compound of great dodecicosahedron and great ditrigonal dodecicosidodecahedron
Faces33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 10800 hexagons, 4800 golden hexagrams, 7200 decagrams, 600 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall snubretrosnub tetrishexacositrishexacosichoron
Abstract & topological properties
Euler characteristic34800
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great snubretrosnub tetrishexacositrishexacosichoron, or gosirstuxtix, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (forming 600 compounds of one of each), 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), 600 rhombidodecadodecahedra, and 600 great dodecicosahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each).

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

It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosidishecatonicosachora and 5 great dipentary dishecatonicosihexacosihecatonicosachora. 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]