Acronym	sne
Name	snub icosiicosahedron, compound of 5 ike
	© ©
Circumradius	sqrt[(5+sqrt(5))/8] = 0.951057
Inradius	sqrt[(7+3 sqrt(5))/24] = 0.755761
Vertex figure	[35]
Dihedral angles (at margins)	between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685°
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Faces of an octahedral subset of triangles each, pairwise fall into coincident face planes. So either those can be considered separately (type A); or they are considered as (rotated) 2-triangle-compounds (type B).

Incidence matrix

(Type A)

  60 |   4  1 |  3  2 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 30 |  2  0 || 1
-----+--------+-------++--
   3 |   2  1 | 60  * || 1
   3 |   3  0 |  * 40 || 1
-----+--------+-------++--
♦ 12 |  24  6 | 12  8 || 5

(Type B)

  60 |   4  1 |  3  2 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 30 |  2  0 || 1
-----+--------+-------++--
   3 |   2  1 | 60  * || 1
   6 |   6  0 |  * 20 || 2
-----+--------+-------++--
♦ 12 |  24  6 | 12  8 || 5