Acronym  saddid 
TOCID symbol  dID 
Name  small dodekicosidodecahedron 
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Circumradius  sqrt[sqrt(5)+11/4] = 2.232951 
Vertex figure  [3/2,10,5,10] 
Snub derivation 

General of army  srid 
Colonel of regiment  srid 
Dihedral angles 

External links 
As abstract polytope saddid seems to be isomorphic to gaddid, sidditdid, and gidditdid, thereby replacing retrograde pentagons and decagons respectively by pentagrams and decagrams, by retrograde pentagrams and decagons, by pentagons and decagrams. But in fact it is only isomorphic to gaddid. 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. – As such saddid is a lieutenant.
This polyhedron is an edgefaceting of the small rhombicosidodecahedron (srid).
Incidence matrix according to Dynkin symbol
x3/2o5x5*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*a  10  5 5  * 12 * . o5x  5  0 5  * * 12
x5/4o3x5*a . . .  60  2 2  1 2 1 +++ x . .  2  60 *  1 1 0 . . x  2  * 60  0 1 1 +++ x5/4o .  5  5 0  12 * * x . x5*a  10  5 5  * 12 * . o3x  3  0 3  * * 20
β3o5x both( . . . )  60  2 2  1 1 2 +++ both( . . x )  2  60 *  0 1 1 sefa( β3o . )  2  * 60  1 0 1 +++ β3o . ♦ 3  0 3  20 * * both( . o5x )  5  5 0  * 12 * sefa( β3o5x )  10  5 5  * * 12 starting figure: x3o5x
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