Acronym	qrid
TOCID symbol	rJE*
Name	quasi rhombicosidodecahedron, great (non-convex) rhombicosidodecahedron (i.e. not grid)
VRML	⭳ ©
Circumradius	sqrt[-sqrt(5)+11/4] = 0.716891
Vertex figure	[5/3,4,3,4]
General of army	f3x5o
Colonel of regiment	gaddid
Dihedral angles	between {3} and {4}:   arccos((sqrt(5)-1)/sqrt(12)) = 69.094843° between {4} and {5/2}:   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
Face vector	60, 120, 62
Confer	non-convex cap: rastacu   related polyhedra: gibil biro   githawro   general polytopal classes: Wythoffian polyhedra
External links

As abstract polytope qrid is isomorphic to srid, thereby replacing retrograde pentagrams by prograde pentagons. – As such qrid is a lieutenant.

Just as the lunes of srid had been reused in bilbiro and thawro, the more folded lunes of this conjugate polyhedron are being reused in their conjugates as well, i.e. in gibil biro and githawro.

This polyhedron is an edge-faceting of the great dodekicosidodecahedron (gaddid).

Incidence matrix according to Dynkin symbol

x5/3o3x

.   . . | 60 |  2  2 |  1  2  1
--------+----+-------+---------
x   . . |  2 | 60  * |  1  1  0
.   . x |  2 |  * 60 |  0  1  1
--------+----+-------+---------
x5/3o . |  5 |  5  0 | 12  *  *
x   . x |  4 |  2  2 |  * 30  *
.   o3x |  3 |  0  3 |  *  * 20

x3/2o5/2x

.   .   . | 60 |  2  2 |  1  2  1
----------+----+-------+---------
x   .   . |  2 | 60  * |  1  1  0
.   .   x |  2 |  * 60 |  0  1  1
----------+----+-------+---------
x3/2o   . |  3 |  3  0 | 20  *  *
x   .   x |  4 |  2  2 |  * 30  *
.   o5/2x |  5 |  0  5 |  *  * 12