Acronym  ... 
Name 
x3q3o, variation of truncated tetrahedron 
Circumradius  sqrt[(11+4 sqrt(2))/8] = 1.442951 
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
x3q3o . . .  12  1 2  2 1 +++ x . .  2  6 *  2 0 . q .  2  * 12  1 1 +++ x3q .  6  3 3  4 * . q3o  3  0 3  * 4
o3/2q3x . . .  12  2 1  1 2 +++ . q .  2  12 *  1 1 . . x  2  * 6  0 2 +++ o3/2q .  3  3 0  4 * . q3x  6  3 3  * 4
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