Small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron

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Small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSicdiphip xady
Elements
Cells120 sissid, 600 tut, 120 ti, 720 stip, 120 srid
Faces2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat based dipentary hecatonicosiprismatohexacosidishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic3840
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron, or sicdiphip xady, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 120 truncated icosahedra, 720 pentagrammic prisms, and 120 small rhombicosidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five truncated icosahedra, five pentagrammic prisms, 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]