Small spinodipentary dishecatonicosiprismatohecatonicosachoron

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Small spinodipentary dishecatonicosiprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSnidpid hiphi
Elements
Cells120 sissid, 720 stip, 120 ri, 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 spinodipentary dishecatonicosiprismatohecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic1320
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small spinodipentary dishecatonicosiprismatohecatonicosachoron, or snidpid hiphi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 720 pentagrammic prisms, 120 rhombicosahedra, and 120 small dodecicosahedra. One small stellated dodecahedron, five pentagrammic prisms, five rhombicosahedra, 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]