Disnub icosidodecadodecahedron

The disnub icosidodecadodecahedron, desided, or compound of two snub icosidodecadodecahedra is a uniform polyhedron compound. It consists of 120 snub triangles, 40 further triangles, 24 pentagons, and 24 pentagrams (the latter three can combine in pairs due to faces in the same plane). Four triangles, one pentagon, and one pentagram join at each vertex.

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

Its volume V ≈ 29.28396 is given by twice the positive real root of
 * $$729x^6-155520x^4-10125x^2-33153125.$$