Small polar facetopental trishecatonicosachoron
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Small polar facetopental trishecatonicosachoron  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Sliffipathi 
Elements  
Cells  
Faces 

Edges  3600 
Vertices  720 
Measures (edge length 1)  
Circumradius  
Number of external pieces  43320 
Level of complexity  102 
Related polytopes  
Army  Rox 
Regiment  Ragishi 
Conjugate  Great omnifacetopental trishecatonicosachoron 
Convex core  Hecatonicosachoron 
Abstract & topological properties  
Flag count  129600 
Euler characteristic  3240 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  9 
Convex  No 
Nature  Wild 
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]
 Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#111).