Acronym  gaddid 
TOCID symbol  eJE* 
Name  great dodekicosidodecahedron 
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Circumradius  sqrt[sqrt(5)+11/4] = 0.716891 
Vertex figure  [5/2,10/3,3,10/3] 
General of army  f3x5o 
Colonel of regiment  (is itself locally convex – other uniform polyhedral members: qrid gird – other edge facetings) 
Dihedral angles 

External links 
As abstract polytope gaddid seems to be isomorphic to saddid, sidditdid, and gidditdid, thereby replacing pentagrams and decagrams respectively by retrograde pentagons and decagons, by retrograde pentagrams and decagons, by pentagons and decagrams. But in fact it is only isomorphic to saddid. This is because one hasn't only to consider the actual faces, but also the pseudo faces (holes) as well. Saddid and gaddid have square pseudo faces, while sidditdid and gidditdid have hexagonal holes instead.
Incidence matrix according to Dynkin symbol
x5/3x5/2o3*a . . .  60  2 2  2 1 1 +++ x . .  2  60 *  1 1 0 . x .  2  * 60  1 0 1 +++ x5/3x .  10  5 5  12 * * x . o3*a  3  3 0  * 20 * . x5/2o  5  0 5  * * 12
x3/2o5/3x5/3*a . . .  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 . x5/3*a  10  5 5  * 12 * . o5/3x  5  0 5  * * 12
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