Great hecatonicosihecatonicosihexacosichoron

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Great hecatonicosihecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGohihix
Coxeter diagramo3o3/2x3x5*b ()
Elements
Cells600 tetrahedra, 120 dodecahedra, 120 great icosicosidodecahedra
Faces2400 triangles, 1440 pentagons, 1200 hexagons
Edges3600+3600
Vertices2400
Vertex figureCrossed triangular frustum, edge lengths 1 (small base), (1+5)/2 (large base), and 3 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGiid–6–giid: 120°
 Giid–5–doe: 72°
 Giid–3–tet:
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentGixhidy
ConjugateSmall hecatonicosihecatonicosihexacosichoron
Abstract & topological properties
Euler characteristic–600
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great hecatonicosihecatonicosihexacosichoron, or gohihix, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 regular dodecahedra, and 120 great icosicosidodecahedra. 1 tetrahedron, 1 dodecahedron, and 3 great icosicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great hexacosihecatonicosidishecatonicosachoron.

External links[edit | edit source]