Rectified great grand hecatonicosachoron
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Rectified great grand hecatonicosachoron  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Ragaghi 
Coxeter diagram  o5x5/2o3o () 
Elements  
Cells  
Faces 

Edges  3600 
Vertices  1200 
Vertex figure  Semiuniform triangular prism, edge lengths (√5–1)/2 (base) and (1+√5)/2 (side) 
Edge figure  gissid 5/2 did 5 did 5/2 
Measures (edge length 1)  
Circumradius  
Hypervolume  
Dichoral angles  Did–5/2–gissid: 108° 
Did–5–did: 72°  
Central density  76 
Number of external pieces  34920 
Level of complexity  141 
Related polytopes  
Army  Rahi, edge length 
Regiment  Ragaghi 
Conjugate  Rectified small stellated hecatonicosachoron 
Convex core  Hecatonicosachoron 
Abstract & topological properties  
Flag count  43200 
Euler characteristic  –480 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  3 
Convex  No 
Nature  Tame 
The rectified great grand hecatonicosachoron, or ragaghi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra and 120 dodecadodecahedra. Two great stellated dodecahedra and three dodecadodecahedra join at each triangular prismatic vertex. As the name suggests, it can be obtained by rectifying the great grand hecatonicosachoron.
Gallery[edit  edit source]
Vertex coordinates[edit  edit source]
The vertices of a rectified great grand hecatonicosachoron of edge length 1 are given by all permutations of:
 ,
 ,
 ,
 ,
along with all even permutations of:
 ,
 ,
 ,
 ,
 ,
 .
Related polychora[edit  edit source]
The rectified great grand hecatonicosachoron is the colonel of a 3member regiment that also includes the facetorectified great grand hecatonicosachoron and medial hecatonicosintercepted hecatonicosachoron.
External links[edit  edit source]
 Bowers, Jonathan. "Category 3: Triangular Rectates" (#54).
 Klitzing, Richard. "ragaghi".