Small dipentary prismatohecatonicosidishecatonicosihexacosichoron

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Small dipentary prismatohecatonicosidishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSiddip phidhix
Elements
Cells1200 trip, 600 tut, 120 ided, 120 srid, 120 sidditdid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary prismatohecatonicosidishecatonicosihexacosichoron
Abstract & topological properties
Flag count259200
Euler characteristic6480
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary prismatohecatonicosidishecatonicosihexacosichoron, or siddip phidhix, is a nonconvex uniform polychoron that consists of 1200 triangular prisms, 600 truncated tetrahedra, 120 icosidodecadodecahedra, 120 small rhombicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Five of each join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links[edit | edit source]