Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings
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We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.
18 pages, 10 figures
18 pages, 10 figures