Great snubspinosnub prismatodisnub tetrishexacosichoron

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Great snubspinosnub prismatodisnub tetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGosenspidstux
Elements
Cells600 small stellated dodecahedra, 600 icosahedra, 2400 compound of cuboctahedron and cubohemioctahedron, 120 icosidisicosahedra, 600 truncated great icosahedra, 600 great rhombidodecahedra, 6000 triangular prisms
Faces21600 triangles, 32400 squares, 7200 pentagrams, 10800 hexagons, 1200 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 snubspinosnub prismatodisnub tetrishexacosichoron
Abstract & topological properties
Euler characteristic15000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

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

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

It can be obtained as the blend of 5 great dipentary prismatohexacosihecatonicosachora and 5 great spinocapped dipentary hexacositrishecatonicosachora. 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]