Acronym	gird
TOCID symbol	re|JE*
Name	great rhombidodecahedron
	© ©
Circumradius	sqrt[-sqrt(5)+11/4] = 0.716891
Vertex figure	[4/3,10/7,4,10/3]/0
General of army	f3x5o
Colonel of regiment	gaddid
Dihedral angles	between {4} and {10/3} (at pseudo {5/2}):   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526° between {4} and {10/3} (at pseudo {3}):   arccos(sqrt[(5+sqrt(5))/10]) = 31.717474°
Face vector	60, 120, 42
Confer	Grünbaumian relatives: gird+12{10/4}   gird+20{6/2}
External links

As abstract polytope gird is isomorphic to sird, thereby replacing decagrams by decagons.

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

Incidence matrix according to Dynkin symbol

reduced( x3/2x5/3x , by 20{6/2} )
or
reduced( x5/4x5/3x , by 12{10/4} )

60 |  2  2 |  2  2
---+-------+------
 2 | 60  * |  1  1  at pseudo {3}
 2 |  * 60 |  1  1  at pseudo {5/2}
---+-------+------
 4 |  2  2 | 30  *
10 |  5  5 |  * 12  {10/3}

or (only as abstract polyhedron)
60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 4 |   4 | 30  *
10 |  10 |  * 12  {10/3}