Small dispinosnub dishexacosi prismatosnub tetrishexacosichoron

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Small dispinosnub dishexacosi prismatosnub tetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadinsadox postux
Elements
Cells600 pentagrammatic snub pseudodisoctahedra, 600 icosahedra, 2400 compound of two cubohemioctahedra, 600 compound of small dodecicosahedron and small icosicosidodecahedron, 600 small rhombidodecahedra, 3600 pentagrammic prisms
Faces12000 triangles, 32400 squares, 14400 pentagrams, 14400 hexagons, 7200 decagons, 3600 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGadinsadox postux
Abstract & topological properties
Euler characteristic25200
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub dishexacosi prismatosnub tetrishexacosichoron, or sadinsadox postux, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (some of which lie in the same hyperplanes, forming 600 pentagrammatic snub pseudodisoctahedra), 600 icosahedra, 4800 cubohemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra and 600 small icosicosidodecahedra (forming 600 compounds of one of each), 600 small rhombidodecahedra, and 3600 pentagrammic prisms.

Two small stellated dodecahedra (two compounds), one icosahedron, eight cubohemioctahedra (eight compounds), five small dodecicosahedra and five small icosicosidodecahedra (ten compounds), five small rhombidodecahedra, and five pentagrammic prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 small dipentary hecatonicosihexacositrishecatonicosachora. 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]