Small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron

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Small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidphixipthi
Elements
Cells120 sissid, 120 gad, 1200 trip, 600 tut, 120 srid, 120 siid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hecatonicosihexacosiprismatotrishecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic5640
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron, or sidphixipthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 1200 triangular prisms, 600 truncated tetrahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. One small stellated dodecahedron, one great dodecahedron, five triangular prisms, five truncated tetrahedra, five small rhombicosidodecahedra, and five small icosicosidodecahedra 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]