Acronym  ... 
Name 
x3x4q, variation of great rhombicuboctahedron 
Circumradius  sqrt(7) = 2.645751 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer 
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
x3x4q . . .  48  1 1 1  1 1 1 +++ x . .  2  24 * *  1 1 0 . x .  2  * 24 *  1 0 1 . . q  2  * * 24  0 1 1 +++ x3x .  6  3 3 0  8 * * x . q  4  2 0 2  * 12 * . x4q  8  0 4 4  * * 6
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