Great inverted snub icosidodecahedron

The great inverted snub icosidodecahedron or gisid, is a uniform polyhedron. It consists of 60 snub triangles, 20 additional triangles, and 12 pentagrams. Four triangles and one pentagram meet at each vertex. It can be constructed by alternation of the great quasitruncated icosidodecahedron after setting all edge lengths to be equal.

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