Small diretrosnub heptishexacosichoron

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Small diretrosnub heptishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSedroshox
Elements
Cells600 great icosahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra, 600 small dodecicosidodecahedra, 600 truncated icosahedra
Faces38400 triangles, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 2400 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
ConjugateGedroshox
Abstract & topological properties
Euler characteristic34200
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small diretrosnub heptishexacosichoron, or sedroshox, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra and 600 icosahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra, 600 small dodecicosidodecahedra, and 600 truncated icosahedra.

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

It can be obtained as the blend of 5 small dipentary trishecatonicosihecatonicosihexacosichora and 5 small invertidipentary hecatonicosihexacosidishecatonicosachora.

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]