Small diretrosnub pentishexacosidishexacosichoron

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Small diretrosnub pentishexacosidishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadrospixdox
Elements
Cells600 compound of great icosahedron and small stellated dodecahedron, 600 snub disoctahedra, 2400 compound of two octahemioctahedra, 600 small dodecicosahedra, 600 icosidodecadodecahedra, 600 small dodecicosidodecahedra
Faces33600 triangles, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 4800 golden hexagrams, 7200 decagons, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGadrospixdox
Abstract & topological properties
Euler characteristic27000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small diretrosnub pentishexacosidishexacosichoron, or sadrospixdox, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 1200 icosahedra (forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra, 600 icosidodecadodecahedra, and 600 small dodecicosidodecahedra.

One great icosahedron and one small stellated dodecahedron (two compounds), two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five small dodecicosahedra, five icosidodecadodecahedra, and five small dodecicosidodecahedra join at each vertex.

It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosihecatonicosachora and 5 small dipentary tetrishecatonicosihexacosichora.

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]