I had a look at reciprocal frames, which are a very beautiful geometric challenge. To start with the basics, I applied them onto the platonic polyhedrons, which are by definition symmetrical on every edge and plane. This means I don’t have to think about different length, angles or joints, but i can solve one node and get the rest for free.
Here are some studies to how a polyhedron can be populated. I realized that there are reoccurring rotations angles, which will result in coplanar or orthogonal joints.