Acronym  sne 
Name 
snub icosiicosahedron, compound of 5 ike 
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Circumradius  sqrt[(5+sqrt(5))/8] = 0.951057 
Inradius  sqrt[(7+3 sqrt(5))/24] = 0.755761 
Vertex figure  [3^{5}] 
Dihedral angles
(at margins) 

External links 
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) 2trianglecompounds (type B).
(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
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