Small diretrosnub disnub decahecatonicosadishexacosichoron

Small diretrosnub disnub decahecatonicosadishexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sadros daskydox
Elements
Cells	600 snub disoctahedra, 2400 compound of two octahemioctahedra, 2400 compound of two truncated tetrahedra, 120 truncated icosicosahedra
Faces	3×4800+2×14400 triangles, 2400+4800+14400 hexagons
Edges	14400+2×21600
Vertices	7200
Measures (edge length 1)
Circumradius	$\sqrt{4+\sqrt5} ≈ 2.49721$
Related polytopes
Army	Semi-uniform Prahi
Regiment	Sadros daskydox
Conjugate	Great diretrosnub disnub decahecatonicosadishexacosichoron
Convex core	Hecatonicosatruncated triangular-antitegmatic dischiliatetracosichoron
Abstract properties
Euler characteristic	2400
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

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

• Bowers, Jonathan. "Category 28: Idcossids" (#1492).