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 R ≈ 1.12690 of the snub icosidodecadodecahedron with unit edge length is the greatest real root of
 * $$64x^6-128x^4+68x^2-11.$$

Its volume V ≈ 14.64198 is given by the positive real root of
 * $$729x^6-155520x^4-10125x^2-33153125.$$