Small dipentary trishecatonicosiprismatohexacosichoron

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Small dipentary trishecatonicosiprismatohexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpithipix
Elements
Cells120 gad, 1200 trip, 600 oho, 120 srid, 120 siddy
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 trishecatonicosiprismatohexacosichoron
Abstract & topological properties
Flag count230400
Euler characteristic5040
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary trishecatonicosiprismatohexacosichoron, or sidpithipix, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 1200 triangular prisms, 600 octahemioctahedra, 120 small rhombicosidodecahedra, and 120 small dodecicosahedra. One great dodecahedron, five triangular prisms, five octahemioctahedra, five small rhombicosidodecahedra, and five small dodecicosahedra 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]