Icosahedral Symmetry on a Sphere

Here is openSCAD code which covers a sphere with a pattern displaying icosahedral symmetry. The code uses the same technique as that described in thing:39424 Octahedral Symmetry on a Sphere.

The Platonic solids with five fold rotation axes are the icosahedron and the dodecahedron. They share symmetry elements; each has six 5 fold axes, ten 3 fold axes and fifteen 2 fold axes. We can use their vertices, mapped to
a unit sphere, to locate planar patterns with three or five fold rotation axes