Acronym  ... 
Name 
x3f5o, variation of ti, hull of raded, hull of kri 
Circumradius  sqrt[(49+21 sqrt(5))/8] = 3.463334 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer 
Incidence matrix according to Dynkin symbol
x3f5o . . .  60  1 2  2 1 +++ x . .  2  30 *  2 0 . f .  2  * 60  1 1 +++ x3f .  6  3 3  20 * . f5o  5  0 5  * 12
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