Small dispinosnub prismatosnub trishexacositetrishexacosichoron

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Small dispinosnub prismatosnub trishexacositetrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidan spostixtux
Elements
Cells600 pentagrammatic snub pseudodisoctahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 truncated icosahedra, 600 icosidodecadodecahedra, 600 small rhombidodecahedra, 3600 pentagrammic prisms
Faces32400 squares, 14400 pentagons, 14400 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 3600 decagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGidan spostixtux
Abstract & topological properties
Euler characteristic23400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub prismatosnub trishexacositetrishexacosichoron, or sidan spostixtux, 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), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 icosidodecadodecahedra, 600 small rhombidodecahedra, and 3600 pentagrammic prisms.

Two small stellated dodecahedra (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five truncated icosahedra, five icosidodecadodecahedra, five small rhombidodecahedra, and five pentagrammic prisms join at each vertex.

It can be obtained as the blend of 5 small capped dipentary prismatohexacositrishecatonicosachora and 5 small capped dipentary hexacositetrishecatonicosachora. 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]