Small dispinosnub prismatosnub tetrishexacositrishexacosichoron

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Small dispinosnub prismatosnub tetrishexacositrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSedanspostuxtix
Elements
Cells600 pentagrammatic snub pseudodisoctahedra, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 truncated icosahedra, 600 small rhombidodecahedra, 600 small icosicosidodecahedra, 3600 pentagrammic prisms
Faces12000 triangles, 32400 squares, 7200 pentagons, 14400 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
ConjugateGedanspostuxtix
Abstract & topological properties
Euler characteristic28200
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub prismatosnub tetrishexacositrishexacosichoron, or sedanspostuxtix, 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 great dodecahedra and 600 great icosahedra (forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 small rhombidodecahedra, 600 small icosicosidodecahedra, and 3600 pentagrammic prisms.

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

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