Ditrigonary hecatonicositetrishecatonicosachoron

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Ditrigonary hecatonicositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDithiuthi
Elements
Cells120 gid, 120 id, 120 sidditdid, 120 giid, 120 ri (600 total)
Faces4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons (12,600 total)
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDittophi
Abstract & topological properties
Euler characteristic6000
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditrigonary hecatonicositetrishecatonicosachoron, or dithiuthi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, and 120 rhombicosahedra. Three great icosidodecahedra, three icosidodecahedra, six small ditrigonal dodecicosidodecahedra, six great icosicosidodecahedra, and six rhombicosahedra 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]