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
  • between q . x and q3x (at q):   arccos(-sqrt(2/3)) = 144.735610°
  • between q . x and x4x:   135°
  • between q3x and x4x:   arccos(-1/sqrt(3)) = 125.264390°
Confer
uniform variant:
girco  
variations:
a3b4c   x3x4q   w3x4x  

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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