Faceted rectified great stellated hecatonicosachoron
The faceted rectified great stellated hecatonicosachoron, or frogshi, also known as the facetorectified great stellated hecatonicosachoron, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 quasitruncated small stellated dodecahedra. Five dodecadodecahedra and ten quasitruncated small stellated dodecahedra join at each vertex.
Faceted rectified great stellated hecatonicosachoron  

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

Edges  3600 
Vertices  720 
Vertex figure  Pentagrammic toroprism 
Measures (edge length 1)  
Circumradius  
Central density  –12 
Number of external pieces  137040 
Level of complexity  353 
Related polytopes  
Army  Rox 
Regiment  Ragishi 
Conjugate  Ridhi 
Convex core  Hecatonicosachoron 
Abstract & topological properties  
Flag count  72000 
Euler characteristic  –240 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  5 
Convex  No 
Nature  Tame 
It also has great dodecahedra and great dodecahemidodecahedra as pseudofacets.
Gallery Edit
Vertex coordinates Edit
The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.
External links Edit
 Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#107).