Small dipentary tetrishecatonicosiprismatohexacosichoron

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Small dipentary tetrishecatonicosiprismatohexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSiddip thipox
Elements
Cells120 sissid, 120 ike, 720 stip, 120 ti, 600 oho, 120 srid
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 tetrishecatonicosiprismatohexacosichoron
Abstract & topological properties
Flag count230400
Euler characteristic6120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary tetrishecatonicosiprismatohexacosichoron, or siddip thipox, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 720 pentagrammic prisms, 120 truncated icosahedra, 600 octahemioctahedra, and 120 small rhombicosidodecahedra. One small stellated dodecahedron, one icosahedron, five pentagrammic prisms, five truncated icosahedra, five octahemioctahedra, and five small rhombicosidodecahedra 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]