Great ditrigonary hecatonicosiprismatohecatonicosihexacosichoron

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Great ditrigonary hecatonicosiprismatohecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGidthiphix
Elements
Cells120 sidtid, 120 siid, 720 dip, 600 cho
Faces2400 triangles, 5400 squares, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateSidthiphix
Abstract & topological properties
Euler characteristic4800
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great ditrigonary hecatonicosiprismatohecatonicosihexacosichoron, or gidthiphix, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 small icosicosidodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, six small icosicosidodecahedra, twelve decagonal prisms, and six cubohemioctahedra 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]