Great dispinosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron

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Great dispinosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadinsospis distuxphi
Elements
Cells600 great icosahedra, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 great dodecicosahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 3600 pentagonal prisms, 6000 triangular prisms
Faces24000 triangles, 32400 squares, 7200 pentagons, 19200 hexagons, 3600 decagrams, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall dispinosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron
Abstract & topological properties
Euler characteristic18600
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great dispinosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron, or gadinsospis distuxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra and 600 icosahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), 3600 pentagonal prisms, and 6000 triangular prisms.

One great icosahedron, one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five great dodecicosahedra, five truncated tetrahedra (one compound, four single), five pentagonal prisms, and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 great dipentary prismatodishexacosidishecatonicosachora. In the process, some of the 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]