Small dipentary trishecatonicosihexacosihecatonicosachoron

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Small dipentary trishecatonicosihexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpathixhi
Elements
Cells120 ike, 120 ti, 600 co, 120 ri, 120 saddid
Faces4800 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 trishecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic6120
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary trishecatonicosihexacosihecatonicosachoron, or sidpathixhi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 truncated icosahedra, 600 cuboctahedra, 120 rhombicosahedra, and 120 small dodecicosidodecahedra. One icosahedron, five truncated icosahedra, five cuboctahedra, five rhombicosahedra, and five small 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]