Acronym	querco
TOCID symbol	rOC*
Name	quasirhombicuboctahedron, great rhombicuboctahedron (but not girco)
	© ©
Circumradius	sqrt[5-2 sqrt(2)]/2 = 0.736813
Coordinates	((sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Vertex figure	[3/2,43]
General of army	tic
Colonel of regiment	gocco
Confer	compounds: rasquahpri
External links

As abstract polytope querco is isomorphic to sirco, thereby replacing retrograde triangles by prograde ones. – As such querco is a lieutenant.

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