Small dipentary prismatohexacosihecatonicosachoron

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Small dipentary prismatohexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpapixhi
Elements
Cells1200 triangular prisms, 120 great icosahedra, 600 cuboctahedra
Faces2400+2400 triangles, 3600 squares
Edges3600+3600
Vertices1440
Vertex figurePentagrammic cuploid, edge lengths 1 (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesGike–3–co:
 Co–4–trip:
 Co–3–trip:
Related polytopes
ArmySemi-uniform Tex, edge lengths (icosahedra), (surrounded by truncated tetrahedra)
RegimentPadohi
ConjugateGreat dipentary prismatohexacosihecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic720
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small dipentary prismatohexacosihecatonicosachoron, or sidpapixhi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 1200 triangular prisms, and 600 cuboctahedra. One great icosahedron, five triangular prisms, and five cuboctahedra 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]