I found a book on folding algorithms a while back. It's called "Geometric Folding Algorithms: Linkages, Origami, Polyhedra" by Demaine and O'Rourke. I haven't g

I found a book on folding algorithms a while back. It's called "Geometric Folding Algorithms: Linkages, Origami, Polyhedra" by Demaine and O'Rourke. I haven't gone through it myself yet, but I feel like they should have an answer for you. (They also have a really nice course on MIT's Open Courseware that covers their book: https://ocw.mit.edu/courses/6-849-geometric-folding-algorithms-linkages-origami-polyhedra-fall-2012/ https://ocw.mit.edu/courses/6-849-geometric-folding-algorith....)