Great omnicircumfacetopental trishecatonicosachoron
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Great omnicircumfacetopental trishecatonicosachoron  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Gom fapathi 
Elements  
Cells  
Faces 

Edges  3600 
Vertices  720 
Measures (edge length 1)  
Circumradius  
Number of external pieces  218640 
Level of complexity  485 
Related polytopes  
Army  Rox 
Regiment  Ragishi 
Conjugate  Small invertipental trishecatonicosachoron 
Convex core  Hecatonicosachoron 
Abstract & topological properties  
Flag count  100800 
Euler characteristic  2040 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  7 
Convex  No 
Nature  Wild 
The great omnicircumfacetopental trishecatonicosachoron, or gom fapathi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 dodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Two icosahedra, five dodecadodecahedra, and ten great ditrigonal dodecicosidodecahedra join at each vertex.
It also has great icosidodecahedra+decagrams as exotic 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" (#113).