Small dispinosnub prismatosnubdisnub dishexacosidishexacosichoron

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Small dispinosnub prismatosnubdisnub dishexacosidishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSednasposid sadixdox
Elements
Cells600 snub disoctahedra, 2400 compound of two cubohemioctahedra, 600 compound of small dodecicosahedron and small icosicosidodecahedron, 6000 triangular prisms, 3600 pentagrammic prisms
Faces19200 triangles, 32400 squares, 7200 pentagrams, 14400 hexagons, 2400 golden hexagrams, 3600 decagons, 3600 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGednasposid sadixdox
Abstract & topological properties
Euler characteristic21600
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub prismatosnubdisnub dishexacosidishexacosichoron, or sednasposid sadixdox, is a nonconvex uniform polychoron that consists of 1200 icosahedra (some of which lie in the same hyperplanes, forming 600 snub disoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra and 600 small icosicosidodecahedra (forming 600 compounds of one of each), 6000 triangular prisms, and 3600 pentagrammic prisms.

Two icosahedra (two compounds), eight cubohemioctahedra (eight compounds), five small dodecicosahedra and five small icosicosidodecahedra (ten compounds), five triangular prisms, and five pentagrammic prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosiprismatohexacosihecatonicosachora and 5 small dipentary prismatohecatonicosihexacosihecatonicosachora. 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]