Acronym  querco 
TOCID symbol  rOC* 
Name 
quasirhombicuboctahedron, great rhombicuboctahedron (but not girco) 
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Circumradius  sqrt[52 sqrt(2)]/2 = 0.736813 
Coordinates  ((sqrt(2)1)/2, 1/2, 1/2) & all permutations, all changes of sign 
Vertex figure  [3/2,4^{3}] 
General of army  tic 
Colonel of regiment  gocco 
Dihedral angles 

Confer 

External links 
As abstract polytope querco is isomorphic to sirco, thereby replacing retrograde triangles by prograde ones. – As such querco is a lieutenant.
Just as sirco allows for a gyrated stack, esquigybcu (J37), this quasiversion too has an according gyrated stacking: rasquacu + inv stop + gyro rasquacu = gyquerco. In fact, both have the same vertex figure all over. But querco features full cubical symmetry, while gyquerco features 4fold antiprismatic symmetry only, thereby dividing the according vertex set into 2 classes. As such gyquerco then would be the quasivariant of esquigybcu.
This polyhedron is an edgefaceting of the great cubicuboctahedron (gocco).
Incidence matrix according to Dynkin symbol
x3/2o4x . . .  24  2 2  1 2 1 +++ x . .  2  24 *  1 1 0 . . x  2  * 24  0 1 1 +++ x3/2o .  3  3 0  8 * * x . x  4  2 2  * 12 * . o4x  4  0 4  * * 6
x4/3o3x . . .  24  2 2  1 2 1 +++ x . .  2  24 *  1 1 0 . . x  2  * 24  0 1 1 +++ x4/3o .  4  4 0  6 * * x . x  4  2 2  * 12 * . o3x  3  0 3  * * 8
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