Great snubspinosnub prismatosnubdisnub tetrishexacosichoron

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Great snubspinosnub prismatosnubdisnub tetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGosenspisidstux
Elements
Cells600 small stellated dodecahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of cuboctahedron and cubohemioctahedron, 120 icosidisicosahedra, 600 truncated great icosahedra, 3600 pentagonal prisms, 6000 triangular prisms
Faces21600 triangles, 32400 squares, 7200 pentagons, 7200 pentagrams, 10800 hexagons, 1200 golden hexagrams, 600 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall snubspinosnub prismatosnubdisnub tetrishexacosichoron
Abstract & topological properties
Euler characteristic15000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great snubspinosnub prismatosnubdisnub tetrishexacosichoron, or gosenspisidstux, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 icosahedra and 600 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 2400 cuboctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 octahemioctahedra (forming 120 icosidisicosahedra), 600 truncated great icosahedra, 3600 pentagonal prisms, and 6000 triangular prisms.

One small stellated dodecahedron, one icosahedron and one great dodecahedron (two compounds), four cuboctahedra and four cubohemioctahedra (eight compounds), one octahemioctahedron (one compound), five truncated great icosahedra, five pentagonal prisms, and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary prismatohexacosihecatonicosachora and 5 great capped dipentary prismatohexacositrishecatonicosachora. In the process, some of the cuboctahedron 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]