Acronym  ... 
Name 
v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi 
Circumradius  sqrt[13+sqrt(5)]/4 = 0.975835 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer 
Incidence matrix according to Dynkin symbol
v3x3o . . .  12  1 2  2 1 +++ v . .  2  6 *  2 0 . x .  2  * 12  1 1 +++ v3x .  6  3 3  4 * . x3o  3  0 3  * 4
o3/2x3v . . .  12  2 1  1 2 +++ . x .  2  12 *  1 1 . . v  2  * 6  0 2 +++ o3/2x .  3  3 0  4 * . x3v  6  3 3  * 4
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