Small dipentary hexacosihecatonicosachoron

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Small dipentary hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpaxhi
Elements
Cells120 ri, 600 cho
Faces3600 squares, 2400 hexagons
Edges3600+3600
Vertices1440
Vertex figureNon-noble pentagonal stephanoid (1-2), edge lengths 2 and 3 (both bowtie and butterfly faces)
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hexacosihecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic–480
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small dipentary hexacosihecatonicosachoron, or sidpaxhi, is a nonconvex uniform polychoron that consists of 120 rhombicosahedra and 600 cubohemioctahedra. Five rhombicosahedra and five cubohemioctahedra join at each vertex.

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

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]