Acronym	hirki
Name	hemirhombichiro-icosahedron, compound of 5 thah
	© ©
Circumradius	1/sqrt(2) = 0.707107
Vertex figure	[3, 4, 3, 4/3] / 0
General of army	id
Colonel of regiment	se
Dihedral angles (at margins)	between {3} and {4}:   arccos[1/sqrt(3)] = 54.735610°
External links

The convex hull of hirki is a (scaled) id.

(Because there are only half as many triangles in thah than in oct, the former pairwise coincidence of face planes within se here brakes down, any ike face of the former kernel now bears exactly 1 thah triangle.)

Incidence matrix

 30 |  4 |  2  2 || 1
----+----+-------++--
  2 | 60 |  1  1 || 1
----+----+-------++--
  3 |  3 | 20  * || 1
  4 |  4 |  * 15 || 1
----+----+-------++--
♦ 6 | 12 |  4  3 || 5