Filling a hole in a crease pattern: Isometric mapping from prescribed boundary folding
Erik D. Demaine, Jason S. Ku · American Mathematical Society eBooks · 2015
Given a sheet of paper and a prescribed folding of its boundary, is there a way to fold the paper's interior without stretching so that the boundary lines up with the prescribed boundary folding?For polygonal boundaries nonexpansively folded at finitely many points, we prove that a consistent isometric mapping of the polygon interior always exists and is computable in polynomial time.