Acronym  ... 
Name 
f3x5x, variation of great rhombicosidodecahedron, hull of quitdid 
Circumradius  sqrt[(77+33 sqrt(5))/8] = 4.341518 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer 
Incidence matrix according to Dynkin symbol
f3x5x . . .  120  1 1 1  1 1 1 +++ f . .  2  60 * *  1 1 0 . x .  2  * 60 *  1 0 1 . . x  2  * * 60  0 1 1 +++ f3x .  6  3 3 0  20 * * f . x  4  2 0 2  * 30 * . x5x  10  0 5 5  * * 12
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