Small diretrosnub dishexacosipentishexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Small diretrosnub dishexacosipentishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadrosid xippix
Elements
Cells600 small retrosnub disoctahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 compound of small dodecicosahedron and small ditrigonal dodecicosidodecahedron, 600 icosidodecadodecahedra
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
ConjugateGadrosid xippix
Abstract & topological properties
Euler characteristic27000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

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

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

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

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]