Acronym gidditdid TOCID symbol eJE Name great ditrigonary dodekicosidodecahedron,great dodekified icosidodecahedron ` © ©` Circumradius sqrt[(17-3 sqrt(5))/8] = 1.134229 Vertex figure [3,10/3,5,10/3] General of army tid Colonel of regiment (is itself locally convex – other uniform polyhedral members: giddy   giid – other edge facetings) Dihedral angles between {3} and {10/3}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632° between {5} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051° Externallinks

As abstract polytope gidditdid seems to be isomorphic to sidditdid, saddid, and gaddid, thereby replacing pentagons and decagrams respectively by retrograde pentagrams and decagons, by retrograde pentagons and decagons, by pentagrams and decagrams. But in fact it is only isomorphic to sidditdid. 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

```x5/3x3o5*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   . o5*a |  5 |  5  0 |  * 12  *
.   x3o    |  3 |  0  3 |  *  * 20
```

```x5/4o3/2x5/3*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   .   x5/3*a | 10 |  5  5 |  * 12  *
.   o3/2x      |  3 |  0  3 |  *  * 20
```