Snipperclips: Cutting Tools into Desired Polygons using Themselves

نویسندگان

  • Erik D. Demaine
  • Matias Korman
  • André van Renssen
  • Marcel Roeloffzen
چکیده

We study Snipperclips, a computer puzzle game whose objective is to create a target shape with two tools. The tools start as constant-complexity shapes, and each tool can snip (i.e., subtract its current shape from) the other tool. We study the computational problem of, given a target shape represented by a polygonal domain of n vertices, is it possible to create it as one of the tools’ shape via a sequence of snip operations? If so, how many snip operations are required? We show that a polynomial number of snips suffice for two different variants of the problem.

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تاریخ انتشار 2017