Small capped dipentary hexacositetrishecatonicosachoron

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Small capped dipentary hexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymScaddip xuthi
Elements
Cells120 sissid, 120 gad, 120 ided, 600 cho, 120 sird
Faces3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat capped dipentary hexacositetrishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic2760
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small capped dipentary hexacositetrishecatonicosachoron, or scaddip xuthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 120 icosidodecadodecahedra, 600 cubohemioctahedra, and 120 small rhombidodecahedra. One small stellated dodecahedron, one great dodecahedron, five icosidodecadodecahedra, five cubohemioctahedra, and five small rhombidodecahedra 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]