Small spinodipentary tetrishecatonicosachoron

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Small spinodipentary tetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSnidupthi
Elements
Cells120 gad, 120 ti, 120 ri, 120 sird
Faces3600 squares, 1440 pentagons, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat spinodipentary tetrishecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic1920
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small spinodipentary tetrishecatonicosachoron, or snidupthi, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 120 truncated icosahedra, 120 rhombicosahedra, and 120 small rhombidodecahedra. One great dodecahedron, five truncated icosahedra, five rhombicosahedra, and five small rhombidodecahedra 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]