First I thought of a simple icosaedric solution, but the triangles had a 90 degree twist, so this wasn´t about to help much. After thinking about using cyanacrilic glue, a saw and some sort of measurement equipment I decided to let galapagos do the job.
It worked quite well but whatever I tried I never got it to solve the problem down to a pure zero distance.
Does anyone know a solution?
Grasshopper definition itself can be downloaded here: