Great diretrosnub snub pentishecatonicosipentishexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Great diretrosnub snub pentishecatonicosipentishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGadros sphipix
Elements
Cells600 compound of great icosahedron and small stellated dodecahedron, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces38400 triangles, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 3600 decagrams, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall diretrosnub snub pentishecatonicosipentishexacosichoron
Abstract & topological properties
Euler characteristic21600
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great diretrosnub snub pentishecatonicosipentishexacosichoron, or gadros sphipix, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 icosahedra, 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five great ditrigonal dodecicosidodecahedra, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 great dipentary hecatonicosidishexacosichora and 5 great dipentary trishecatonicosihecatonicosihexacosichora. In the process, some of the octahemioctahedron cells blend out.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]