Small polar facetopental trishecatonicosachoron

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Small polar facetopental trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSliffipathi
Elements
Cells
Faces
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces43320
Level of complexity102
Related polytopes
ArmyRox
RegimentRagishi
ConjugateGreat omnifacetopental trishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count129600
Euler characteristic3240
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits9
ConvexNo
NatureWild

The small polar facetopental trishecatonicosachoron, or sliffipathi, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 120 great icosidodecahedra, and 120 quasitruncated small stellated dodecahedra. Ten great icosicosidodecahedra, five great icosidodecahedra, and ten quasitruncated small stellated dodecahedra join at each vertex.

It also has small complex icosidodecahedra as pseudofacets.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]