Small dispinosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron

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

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

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

It can be obtained as the blend of 5 small dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 small 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 small diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]