Small dipentary dishecatonicosidishexacosihecatonicosachoron

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Small dipentary dishecatonicosidishexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpaddy dixhi
Elements
Cells120 sissid, 600 tut, 600 co, 120 siid, 120 sird
Faces4800 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary dishecatonicosidishexacosihecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic5640
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary dishecatonicosidishexacosihecatonicosachoron, or sidpaddy dixhi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 600 cuboctahedra, 120 small icosicosidodecahedra, and 120 small rhombidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five cuboctahedra, five small icosicosidodecahedra, and five small rhombidodecahedra 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]