Small dipentary hecatonicosidishexacosidishecatonicosachoron

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Small dipentary hecatonicosidishexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidphiddixady
Elements
Cells600 tut, 120 ti, 600 co, 120 raded, 120 sidditdid
Faces4800 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 hecatonicosidishexacosidishecatonicosachoron
Abstract & topological properties
Flag count259200
Euler characteristic7080
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hecatonicosidishexacosidishecatonicosachoron, or sidphiddixady, is a nonconvex uniform polychoron that consists of 600 truncated tetrahedra, 120 truncated icosahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Five truncated tetrahedra, five truncated icosahedra, five cuboctahedra, five rhombidodecadodecahedra, and five small ditrigonal dodecicosidodecahedra 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]