Snub icosidodecadodecahedron

The snub icosidodecadodecahedron or sided, is a uniform polyhedron. It consists of 60 snub triangles, 20 additional triangles, 12 pentagrams, and 12 pentagons. Four triangles, one pentagon, and one pentagram meeting at each vertex. It can be constructed by alternation of the icosidodecatruncated icosidodecahedron and then setting all edge lengths to be equal.

Measures
The circumradius of the inverted snub dodecadodecahedron with unit edge length is the greatest real root of
 * $$64x^6-128x^4+68x^2-11.$$