Acronym	giddird
Name	great dirhombidodecahedron, compound of 12 stip
	©
Circumradius	sqrt[(15-2 sqrt(5))/20] = 0.725530
Vertex figure	2[42,5/2]
General of army	srid
Colonel of regiment	(itself, even so not being locally convex)
External links

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