Small retrospinosnub trishexacositetrishexacosichoron

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Small retrospinosnub trishexacositetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSranistixtux
Elements
Cells600 small stellated dodecahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 small dodecicosahedra, 600 rhombidodecadodecahedra
Faces21600 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 1200 golden hexagrams, 7200 decagons, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGranistixtux
Abstract & topological properties
Euler characteristic32400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small retrospinosnub trishexacositetrishexacosichoron, or sranistixtux, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 2400 octahemioctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 small dodecicosahedra, and 600 rhombidodecadodecahedra.

One small stellated dodecahedron, one icosahedron and one great dodecahedron (two compounds), four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five truncated icosahedra, five small dodecicosidodecahedra, five small dodecicosahedra, and five rhombidodecadodecahedra join at each vertex.

It can be obtained as the blend of 5 small invertidipentary hecatonicosihexacosidishecatonicosachora and 5 small capped dipentary tetrishecatonicosihexacosichora. 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 small diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]