Omnifacetopental hexacosidishecatonicosachoron
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Omnifacetopental hexacosidishecatonicosachoron  

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

Edges  3600 
Vertices  720 
Measures (edge length 1)  
Circumradius  
Number of external pieces  290640 
Level of complexity  703 
Related polytopes  
Army  Rox 
Regiment  Ragishi 
Conjugate  Polar facetopental hexacosidishecatonicosachoron 
Convex core  Hexacosichoron 
Abstract & topological properties  
Flag count  129600 
Euler characteristic  2760 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  9 
Convex  No 
Nature  Wild 
The omnifacetopental hexacosidishecatonicosachoron, or ofapaxady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 truncated tetrahedra, and 120 great ditrigonal dodecicosidodecahedra. Five dodecadodecahedra, ten truncated tetrahedra, and ten great ditrigonal dodecicosidodecahedra join at each vertex.
It also has small complex icosidodecahedra and 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" (#114).