Acronym	dird
Name	dirhimbidodecahedron, compound of 12 pip
	© ©
Circumradius	sqrt[(15+2 sqrt(5))/20] = 0.986715
Vertex figure	2[42,5]
General of army	f3x5o
Colonel of regiment	(itself, although not being locally convex)
External links

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

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