Small capped dipentary prismatodishecatonicosihexacosihecatonicosachoron

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Small capped dipentary prismatodishecatonicosihexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSicdip pidhixhi
Elements
Cells120 gike, 720 stip, 600 oho, 120 ri, 120 sidditdid
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 based dipentary prismatodishecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic5520
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small capped dipentary prismatodishecatonicosihexacosihecatonicosachoron, or sicdip pidhixhi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagrammic prisms, 600 octahemioctahedra, 120 rhombicosahedra, and 120 small ditrigonal dodecicosidodecahedra. One great icosahedron, five pentagrammic prisms, five octahemioctahedra, five rhombicosahedra, and five small ditrigonal 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]