Small dipentary hexacositetrishecatonicosachoron

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Small dipentary hexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpuxthi
Elements
Cells120 sissid, 120 ike, 600 co, 120 raded, 120 saddid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hexacositetrishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic5160
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hexacositetrishecatonicosachoron, or sidpuxthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 small dodecicosidodecahedra. One small stellated dodecahedron, one icosahedron, five cuboctahedra, five rhombidodecadodecahedra, 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]