Rectified grand hexacosichoron
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Rectified grand hexacosichoron  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Raggix 
Coxeter diagram  o5/2o3x3o () 
Elements  
Cells 

Faces  1200+2400 triangles 
Edges  3600 
Vertices  720 
Vertex figure  Pentagrammic prism, edge length 1 
Measures (edge length 1)  
Circumradius  
Hypervolume  
Dichoral angles  Gike–3–oct: 
Oct–3–oct:  
Central density  191 
Number of external pieces  73440 
Level of complexity  272 
Related polytopes  
Army  Rox 
Regiment  Rigfix 
Conjugate  Rectified hexacosichoron 
Convex core  Hexacosichoron 
Abstract & topological properties  
Flag count  43200 
Euler characteristic  0 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  3 
Convex  No 
Nature  Tame 
The rectified grand hexacosichoron, or raggix, is a nonconvex uniform polychoron that consists of 600 regular octahedra and 120 great icosahedra. Two great icosahedra and 5 octahedra join at each pentagrammic prismatic vertex. As the name suggests, it can be obtained by rectifying the grand hexacosichoron.
Blending 10 rectified grand hexacosichora results in the great disnub dishexacosichoron, which is uniform.
Gallery[edit  edit source]
Vertex coordinates[edit  edit source]
Its vertices are the same as those of its regiment colonel, the rectified great faceted hexacosichoron.
External links[edit  edit source]
 Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#119).
 Klitzing, Richard. "raggix".