Acronym ided TOCID symbol iED* Name icosidodecadodecahedron ` © ©` Circumradius sqrt(7)/2 = 1.322876 Vertex figure [5/3,6,5,6] General of army x3f5o Colonel of regiment raded Dihedral angles between {5} and {6}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317° between {5/2} and {6}:   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368° Externallinks

As abstract polytope ided is automorph, thereby interchanging the roles of (prograde) pentagons and (retrograde) pentagrams.

Incidence matrix according to Dynkin symbol

```o5/3x3x5*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
.   x .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
o5/3x .    |  5 |  5  0 | 12  *  *
.   x3x    |  6 |  3  3 |  * 20  *
o   . x5*a |  5 |  0  5 |  *  * 12
```

```x5/4o5/2x3*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   .   x3*a |  6 |  3  3 |  * 20  *
.   o5/2x    |  5 |  0  5 |  *  * 12
```