Ditrigonary hecatonicositrishecatonicosachoron

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Ditrigonary hecatonicositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDithithi
Elements
Cells120 gid, 120 id, 120 gidditdid, 120 sidditdid
Faces4800 triangles, 1440 pentagons, 1440 pentagrams, 720 decagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDitrigonary hecatonicositrishecatonicosachoron
Abstract & topological properties
Euler characteristic2640
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

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