Small dipentary prismatohecatonicositrishecatonicosachoron

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Small dipentary prismatohecatonicositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpiphithi
Elements
Cells120 gike, 720 stip, 120 ided, 120 srid, 120 siddy
Faces2400 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 prismatohecatonicositrishecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic5040
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary prismatohecatonicositrishecatonicosachoron, or sidpiphithi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagrammic prisms, 120 icosidodecadodecahedra, 120 small rhombicosidodecahedra, and 120 small dodecicosahedra. One great icosahedron, five pentagrammic prisms, five icosidodecadodecahedra, five small rhombicosidodecahedra, and five small dodecicosahedra 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]