Small dispinosnub prismatosnubdisnub dishexacositrishexacosichoron

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Small dispinosnub prismatosnubdisnub dishexacositrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSednasposid sedaxtix
Elements
Cells600 small stellated dodecahedra, 600 great dodecahedra, 2400 compound of two cubohemioctahedra, 600 compound of small dodecicosahedron and small ditrigonal dodecicosidodecahedron, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms
Faces12000 triangles, 32400 squares, 7200 pentagons, 14400 pentagrams, 19200 hexagons, 7200 decagons, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGednasposid sedaxtix
Abstract & topological properties
Euler characteristic27000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub prismatosnubdisnub dishexacositrishexacosichoron, or sednasposid sedaxtix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 great dodecahedra, 4800 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 600 small dodecicosahedra and 600 small ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 icosidodecadodecahedra, 3600 pentagrammic prisms, and 6000 triangular prisms.

One small stellated dodecahedron, one great dodecahedron, eight cubohemioctahedra (eight compounds), five small dodecicosahedra and five small ditrigonal dodecicosidodecahedra (ten compounds), five icosidodecadodecahedra, 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 based dipentary prismatodishecatonicosihexacosihecatonicosachora. 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]