Small dipentary prismatodishexacosidishecatonicosachoron

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Small dipentary prismatodishexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpip dixady
Elements
Cells120 gike, 120 ike, 1200 trip, 600 tut, 600 cho
Faces4800 triangles, 3600 squares, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary prismatodishexacosidishecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic2400
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary prismatodishexacosidishecatonicosachoron, or sidpip dixady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 1200 triangular prisms, 600 truncated tetrahedra, and 600 cubohemioctahedra. One great icosahedron, one icosahedron, five triangular prisms, five truncated tetrahedra, and five cubohemioctahedra join at each vertex.

It has the same cell counts as its conjugate, the great dipentary prismatodishexacosidishecatonicosachoron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links[edit | edit source]