Acronym	rahrie
Name	rhombihyperhombicosicosahedron, compound of 5 socco
	© ©
Circumradius	sqrt[5+2 sqrt(2)]/2 = 1.398966
Vertex figure	[3/2,8,4,8]/0
Dihedral angles (at margins)	between {4} and {8}:   90° between {3} and {8}:   arccos[1/sqrt(3)] = 54.735610°
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Triangles pairwise fall into coincident face planes. So either they can be considered separately (type A); or they are considered as (rotated) 2-triangle-compounds (type B).

Incidence matrix

(Type A)

 120 |   2   2 |  1  2  1 || 1
-----+---------+----------++--
   2 | 120   * |  1  1  0 || 1
   2 |   * 120 |  0  1  1 || 1
-----+---------+----------++--
   3 |   3   0 | 40  *  * || 1
   8 |   4   4 |  * 30  * || 1
   4 |   0   4 |  *  * 30 || 1
-----+---------+----------++--
♦ 24 |  24  24 |  8  6  6 || 5

(Type B)

 120 |   2   2 |  1  2  1 || 1
-----+---------+----------++--
   2 | 120   * |  1  1  0 || 1
   2 |   * 120 |  0  1  1 || 1
-----+---------+----------++--
   6 |   6   0 | 20  *  * || 2
   8 |   4   4 |  * 30  * || 1
   4 |   0   4 |  *  * 30 || 1
-----+---------+----------++--
♦ 24 |  24  24 |  8  6  6 || 5