Acronym giddird Name great dirhombidodecahedron,compound of 12 stip Coxeter symbol 2{;3,5;}[12{;5/2,2;}] ` © ` Circumradius sqrt[(15-2 sqrt(5))/20] = 0.725530 Vertex figure 2[42,5/2] General of army srid Colonel of regiment (itself, although not being locally convex) Externallinks

As abstract polytope giddird is isomorphic to dird, thereby replacing pentagrams by pentagons, respectively stip by pip.

Vertices coincide by pairs. So either they can be considered separately (type A) or are identified (type B). Finally, instead of considering individual stip, it can likewise be seen as a compound of 2 (different handed) gikrid (type C).

Incidence matrix

```(Type A)

120 |   2  1 |  2  1 ||  1
-----+--------+-------++---
2 | 120  * |  1  1 ||  1
2 |   * 60 |  2  0 ||  1
-----+--------+-------++---
4 |   2  2 | 60  * ||  1
5 |   5  0 |  * 24 ||  1
-----+--------+-------++---
♦ 10 |  10  5 |  5  2 || 12
```

```(Type B)

60 |   4  2 |  4  2 ||  2
-----+--------+-------++---
2 | 120  * |  1  1 ||  1
2 |   * 60 |  2  0 ||  1
-----+--------+-------++---
4 |   2  2 | 60  * ||  1
5 |   5  0 |  * 24 ||  1
-----+--------+-------++---
♦ 10 |  10  5 |  5  2 || 12
```

```(Type C)

120 |   2  1 |  2  1 || 1
-----+--------+-------++--
2 | 120  * |  1  1 || 1
2 |   * 60 |  2  0 || 1
-----+--------+-------++--
4 |   2  2 | 60  * || 1
5 |   5  0 |  * 24 || 1
-----+--------+-------++--
♦ 60 |  60 30 | 30 12 || 2
```