Small diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron

Small diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sadersospis phidexdix
Elements
Cells	600 snub disoctahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 3600 pentagrammic prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces	33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 4800 golden hexagrams, 1200 compound of two hexagons
Edges	14400+2×21600
Vertices	7200
Measures (edge length 1)
Circumradius	${\sqrt {4+{\sqrt {5}}}}\approx 2.49721$
Related polytopes
Army	Semi-uniform Prahi
Regiment	Sadros daskydox
Conjugate	Gadersospis phidexdix
Abstract & topological properties
Euler characteristic	33000
Orientable	No
Properties
Symmetry	H4+, order 7200
Convex	No
Nature	Wild

The small diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron, or sadersospis phidexdix, is a nonconvex uniform polychoron that consists of 1200 icosahedra (some of which lie in the same hyperplanes, forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 3600 pentagrammic prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

Two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five small rhombicosidodecahedra, five pentagrammic prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosidishexacosichora and 5 small based dipentary trishecatonicosiprismatohexacosichora.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.

External links

• Bowers, Jonathan. "Category 28: Idcossids" (#1542).