Disnub dodecadodecahedron

The disnub dodecadodecahedron, disdid, or compound of two snub dodecadodecahedra is a uniform polyhedron compound. It consists of 120 snub triangles, 24 pentagons, and 24 pentagrams (the latter two can combine in pairs due to faces in the same plane). Three triangles, one pentagon, and one pentagram join at each vertex.

Its quotient prismatic equivalent is the snub dodecadodecahedral antiprism, which is four-dimensional.

Measures
The circumradius $$R \approx 1.27444$$ of the disnub dodecadodecahedron with unit edge length is the largest real root of:
 * $$64x^8-192x^6+180x^4-65x^2+8.$$

Its volume $$V \approx 36.51284$$ is given by the largest real root of:
 * $$x^8-1340x^6+4525x^4+5895625x^2+240250000.$$