Great ditrigonary hecatonicositrishecatonicosihexacosichoron

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Great ditrigonary hecatonicositrishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGidthithix
Elements
Cells600 oct, 120 id, 120 raded, 120 siid, 120 giddy
Faces4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateSidthithix
Abstract & topological properties
Euler characteristic5520
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great ditrigonary hecatonicositrishecatonicosihexacosichoron, or gidthithix, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, 120 rhombidodecadodecahedra, 120 small icosicosidodecahedra, and 120 great dodecicosahedra. Three octahedra, three icosidodecahedra, six rhombidodecadodecahedra, six small icosicosidodecahedra, and six great dodecicosahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links[edit | edit source]