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Given a sheet of paper and a prescribed folding of its boundary, is there away to fold the paper's interior without stretching so that the boundary linesup with the prescribed boundary folding? For polygonal boundariesnonexpansively folded at finitely many points, we prove that a consistentisometric mapping of the polygon interior always exists and is computable inpolynomial time.

Filling a Hole in a Crease Pattern: Isometric Mapping from Prescribed Boundary Folding