Unfolding Convex Polyhedra via Quasigeodesics
Jin‐ichi Itoh, Joseph O’Rourke, Costin Vîlcu · arXiv (Cornell University) · 2007
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds the surface to a planar simple polygon. 1