Small dipentary dishecatonicosiprismatotrishecatonicosachoron

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Small dipentary dishecatonicosiprismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidpid hipthi
Elements
Cells120 gike, 120 ike, 720 stip, 120 ti, 120 srid, 120 siid
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 dishecatonicosiprismatotrishecatonicosachoron
Abstract & topological properties
Flag count230400
Euler characteristic6600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary dishecatonicosiprismatotrishecatonicosachoron, or sidpid hipthi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 720 pentagrammic prisms, 120 truncated icosahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. One great icosahedron, one icosahedron, five pentagrammic prisms, five truncated icosahedra, five small rhombicosidodecahedra, and five small icosicosidodecahedra 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]