Acronym  ... 
Name 
q3x3o, variation of truncated tetrahedron, trianglesnub small rhombicuboctahedron 
 
Circumradius  sqrt[5+2 sqrt(2)]/2 = 1.398966 
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
This polyhedron can be vertex inscribed into sirco. In fact, the latter is just a tegum sum of 2 such in dual position. Conversely it can be derived from sirco by means of a mere alternated faceting, cf. the above picture.
Incidence matrix according to Dynkin symbol
q3x3o . . .  12  1 2  2 1 +++ q . .  2  6 *  2 0 . x .  2  * 12  1 1 +++ q3x .  6  3 3  4 * . x3o  3  0 3  * 4
o3/2x3q . . .  12  2 1  1 2 +++ . x .  2  12 *  1 1 . . q  2  * 6  0 2 +++ o3/2x .  3  3 0  4 * . x3q  6  3 3  * 4
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