Acronym querco
TOCID symbol rOC*
Name quasirhombicuboctahedron,
great rhombicuboctahedron (but not girco)
 
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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
Dihedral angles
  • between {4} and {4}:   45°
  • between {3} and {4}:   arccos(sqrt(2/3)) = 35.264390°
Confer
compounds:
rasquahpri  
non-convex cap:
rasquacu  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

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

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