Acronym  ... 
Name 
q3x4x, variation of girco, hull of quitco 
Circumradius  sqrt[15+8 sqrt(2)]/2 = 2.564844 
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
q3x4x . . .  48  1 1 1  1 1 1 +++ q . .  2  24 * *  1 1 0 . x .  2  * 24 *  1 0 1 . . x  2  * * 24  0 1 1 +++ q3x .  6  3 3 0  8 * * q . x  4  2 0 2  * 12 * . x4x  8  0 4 4  * * 6
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