Great snub icosidodecahedron

The great snub icosidodecahedron or gosid, is a uniform polyhedron. It consists of 60 snub triangles, 20 additional triangles, and 12 pentagrams. Four triangles and one pentagram meeting at each vertex.

Measures
The circumradius of the great snub icosidodecahedron with unit edge length is a real root of: $$4096x^{12}-27648x^{10}+47104x^8-35776x^6+13872x^4-2696x^2+209$$