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math.MG2021
Reshaping Convex Polyhedra
Joseph O'Rourke, Costin Vilcu
Given a convex polyhedral surface P, we define a tailoring as excising from P a simple polygonal domain that contains one vertex v, and whose boundary can be sutured closed to a ne…
cs.CG2021
Cut Locus Realizations on Convex Polyhedra
Joseph O'Rourke, Costin Vîlcu
We prove that every positively-weighted tree T can be realized as the cut locus C(x) of a point x on a convex polyhedron P, with T weights matching C(x) lengths. If T has n leaves,…