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We extend the notion of star unfolding to be based on a quasigeodesic loop Qrather than on a point. This gives a new general method to unfold the surfaceof any convex polyhedron P to a simple (non-overlapping), planar polygon: cutalong one shortest path from each vertex of P to Q, and cut all but one segmentof Q.

Star Unfolding Convex Polyhedra via Quasigeodesic Loops