It's composed of 5 truncated tetrahedra rotated around a common axis.
A far-enough truncation creates the compound of five octahedra.
Its convex hull is a nonuniform snub dodecahedron.
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of with an even number of minuses in the choices for '±', where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
This polyhedron-related article is a stub.