Small diretrosnub disnub decahecatonicosadishexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Small diretrosnub disnub decahecatonicosadishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadros daskydox
Elements
Cells600 snub disoctahedra, 2400 compound of two octahemioctahedra, 2400 compound of two truncated tetrahedra, 120 truncated icosicosahedra
Faces3×4800+2×14400 triangles, 2400+4800+14400 hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGreat diretrosnub disnub decahecatonicosadishexacosichoron
Convex coreHecatonicosatruncated triangular-antitegmatic dischiliatetracosichoron
Abstract & topological properties
Euler characteristic2400
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small diretrosnub disnub decahecatonicosadishexacosichoron, or sadros daskydox, is a nonconvex uniform polychoron that consists of 1200 regular icosahedra (falling in pairs in the same hyperplane, forming 600 snub disoctahedra), 4800 octahemioctahedra (also falling into the same plane, forming a compound of two octahemioctahedra), 4800 truncated tetrahedra (forms a compound of two truncated tetrahedra), and 1200 more truncated tetrahedra (forms 120 truncated icosicosahedra).

This polychoron can be obtained as the blend of 10 small dipentary hecatonicosidishexacosichora. In the process some of the octahemioctahedra blend out fully, while the other cells compound as noted above.

External links[edit | edit source]