Acronym	dri
Name	dirhombicosahedron, compound of 20 trip
	©
Circumradius	sqrt(7/12) = 0.763763
Vertex figure	[3,42]
General of army	x3f5o
Colonel of regiment	(itself, although not being locally convex)
External links

Both, vertices and triangle planes, coincide by pairs. So either both can be considered separately (type A), or vertices are identified while triangles are considered separately (type B), or those faces are considered as (regular) 2-triangle-compounds while coincident vertices are taken separately (type C), or both are pairwise combined (type D).

Finally, instead of considering individual trip, it can likewise be seen as a compound of 2 (different handed) kri (type E).

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
  3 |   3  0 |  * 40 ||  1
----+--------+-------++---
♦ 6 |   6  3 |  3  2 || 20

(Type B)

 60 |   4  2 |  4  2 ||  2
----+--------+-------++---
  2 | 120  * |  1  1 ||  1
  2 |   * 60 |  2  0 ||  1
----+--------+-------++---
  4 |   2  2 | 60  * ||  1
  3 |   3  0 |  * 40 ||  1
----+--------+-------++---
♦ 6 |   6  3 |  3  2 || 20

(Type C)

120 |   2  1 |  2  1 ||  1
----+--------+-------++---
  2 | 120  * |  1  1 ||  1
  2 |   * 60 |  2  0 ||  1
----+--------+-------++---
  4 |   2  2 | 60  * ||  1
  6 |   6  0 |  * 20 ||  2
----+--------+-------++---
♦ 6 |   6  3 |  3  2 || 20

(Type D)

 60 |   4  2 |  4  2 ||  2
----+--------+-------++---
  2 | 120  * |  1  1 ||  1
  2 |   * 60 |  2  0 ||  1
----+--------+-------++---
  4 |   2  2 | 60  * ||  1
  6 |   6  0 |  * 20 ||  2
----+--------+-------++---
♦ 6 |   6  3 |  3  2 || 20

(Type E)

 120 |   2  1 |  2  1 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 60 |  2  0 || 1
-----+--------+-------++--
   4 |   2  2 | 60  * || 1
   3 |   3  0 |  * 40 || 1
-----+--------+-------++--
♦ 60 |  60 30 | 30 20 || 2