Acronym idtid TOCID symbol tIDE* Name icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron ` © ©` Circumradius 2 Vertex figure [6,10,10/3] General of army f3v5v Colonel of regiment (is itself locally convex – no other uniform polyhedral members) Dihedral angles between {6} and {10/3}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632° between {10} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051° between {6} and {10}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317° Externallinks

As abstract polytope idtid is automorph, thereby interchanging the roles of decagons and decagrams.

Incidence matrix according to Dynkin symbol

```x5/3x3x5*a

.   . .    | 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
-----------+-----+----------+---------
x5/3x .    |  10 |  5  5  0 | 12  *  *
x   . x5*a |  10 |  5  0  5 |  * 12  *
.   x3x    |   6 |  0  3  3 |  *  * 20

snubbed forms: s5/3s3s5*a
```