Small dipentary trishecatonicosidishecatonicosachoron

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Small dipentary trishecatonicosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpathidy
Elements
Cells120 gike, 120 gad, 120 ri, 120 siddy, 120 srid
Faces2400 triangles, 3600 squares, 1440 pentagons, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary trishecatonicosidishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic4200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary trishecatonicosidishecatonicosachoron, or sidpathidy, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 great dodecahedra, 120 rhombicosahedra, 120 small dodecicosahedra, and 120 small rhombicosidodecahedra. One great icosahedron, one great dodecahedron, five rhombicosahedra, five small dodecicosahedra, and five small rhombicosidodecahedra 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]