Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings

Computer Science – Computational Geometry

Scientific paper

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18 pages, 10 figures

Scientific paper

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.

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