Small dipentary hecatonicosiprismatohexacosihecatonicosachoron

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Small dipentary hecatonicosiprismatohexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidphippixhi
Elements
Cells120 ike, 1200 trip, 600 cho, 120 siddy
Faces2400 triangles, 3600 squares, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hecatonicosiprismatohexacosihecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic1320
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hecatonicosiprismatohexacosihecatonicosachoron, or sidphippixhi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 1200 triangular prisms, 600 cubohemioctahedra, and 120 small dodecicosahedra. One icosahedron, five triangular prisms, five cubohemioctahedra, 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]