Small circumfacetopental trishecatonicosachoron

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Small circumfacetopental trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSmiffipathi
Elements
Cells120 ike, 120 id, 120 saddid
Faces3600 triangles, 1440 pentagons, 720 decagons
Edges3600
Vertices720
Edge figureid.saddid.saddid.ike.saddid.saddid.id
Measures (edge length 1)
Circumradius
Number of external pieces4920
Level of complexity13
Related polytopes
ArmyRox
RegimentRox
ConjugateGreat interceptipental trishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small circumfacetopental trishecatonicosachoron, or smiffipathi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 icosidodecahedra, and 120 small dodecicosidodecahedra.

It is in the regiment of the rectified hexacosichoron.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

External links[edit | edit source]