Small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSadersosposid stuxphi
Elements
Cells600 great icosahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGadersosposid stuxphi
Abstract & topological properties
Euler characteristic27000
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron, or sadersosposid stuxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron, one icosahedron and one great dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five pentagrammic prisms, five triangular 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 dipentary disprismatotrishecatonicosihexacosichora.

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]