Small dipentary hecatonicosiprismatohecatonicosihexacosichoron

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Small dipentary hecatonicosiprismatohecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidphiphix
Elements
Cells120 sissid, 720 stip, 600 cho, 120 siddy
Faces3600 squares, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hecatonicosiprismatohecatonicosihexacosichoron
Abstract & topological properties
Flag count172800
Euler characteristic840
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hecatonicosiprismatohecatonicosihexacosichoron, or sidphiphix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 720 pentagrammic prisms, 600 cubohemioctahedra, and 120 small dodecicosahedra. One small stellated dodecahedron, five pentagrammic prisms, five cubohemioctahedra, 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]