Acronym grid
TOCID symbol tID
Name great rhombicosidodecahedron (but not qrid),
truncated icosidodecahedron

` © ©`
Vertex figure [4,6,10]
Vertex layers
 Layer Symmetry Subsymmetries o3o5o o3o . o . o . o5o 1 x3x5x x3x .{6} first x . x{4} first . x5x{10} first 2 x3F . u . F . u5x 3 u3U . x . C . x5F 4 x3A . X . U . x5U 5 X3F . F . A . u5F 6 B3x . B . F . X5x 7 F3C . Y . x . x5X 8 D3x . U . D . F5u 9 U3C . D . X . U5x 10a D3F . H . u . F5x 10b A . B 11 F3D . F . H . x5u 12a C3U . J . x . x5xopposite {10} 12b C . Y 12c x . J 13a x3D . J . x 13b C . Y 13c x . J 14 C3F . F . H 15a x3B . H . u 15b A . B 16 F3X . D . X 17 A3x . U . D 18 U3u . Y . x 19 F3x . B . F 20 x3x .opposite {6} F . A 21 X . U 22 x . C 23 u . F 24 x . xopposite {4}
(F=x+f, U=2f, X=2x+f, A=3f, B=2x+2f, C=x+2f, D=x+3f, Y=3x+2f, H=2x+3f, J=4f)
General of army (is itself convex)
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Confer
variations:
a3b5c   f3x5x   v3x5f   f3v5v
External

As abstract polytope grid is isomorphic to gaquatid, thereby replacing decagons by decagrams.

Incidence matrix according to Dynkin symbol

```x3x5x

. . . | 120 |  1  1  1 |  1  1  1
------+-----+----------+---------
x . . |   2 | 60  *  * |  1  1  0
. x . |   2 |  * 60  * |  1  0  1
. . x |   2 |  *  * 60 |  0  1  1
------+-----+----------+---------
x3x . |   6 |  3  3  0 | 20  *  *
x . x |   4 |  2  0  2 |  * 30  *
. x5x |  10 |  0  5  5 |  *  * 12
```