Acronym  scuffi 
Name  semicupolaically faceted icosahedron 
 
Circumradius  sqrt[(5+sqrt(5))/8] = 0.951057 
Vertex figures  [3,3,5,3/2,5], [3,5,3/2,5/4]/0, [3,3,5] 
Dihedral angles
(at margins) 

Confer 
As abstract polytope scuffi is isomorphic to scufgi, thereby replacing pentagons by pentagrams.
This polyhedron either can be considered as a faceting of ike or else could be constructed as a blend from 3 copies of peppy, when taken all coincident with one single triangle, but mutually in rotated fashion.
3 * *  2 2 1 0  1 2 2 [3,3,5,3/2,5] * 3 *  0 2 0 2  0 2 2 [3,5,3/2,5/4]/0 * * 3  0 0 1 2  0 1 2 [3,3,5] ++ 2 0 0  3 * * *  1 1 0 1 1 0  * 6 * *  0 1 1 1 0 1  * * 3 *  0 0 2 0 1 1  * * * 6  0 1 1 ++ 3 0 0  3 0 0 0  1 * * 2 2 1  1 2 0 2  * 3 * {5} 1 1 1  0 1 1 1  * * 6
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