Small ditrigonary prismatohecatonicosihexacositrishecatonicosachoron

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Small ditrigonary prismatohecatonicosihexacositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidditphixthi
Elements
Cells120 sidtid, 120 gid, 120 id, 120 giid, 720 stiddip, 600 cho
Faces4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGidditphixthi
Abstract & topological properties
Euler characteristic8400
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary prismatohecatonicosihexacositrishecatonicosachoron is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 great icosidodecahedra, 120 icosidodecahedra, 120 great icosicosidodecahedra, 720 decagrammic prisms, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, three great icosidodecahedra, three icosidodecahedra, six great icosicosidodecahedra, twelve decagrammic 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]