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تسجيل مستخدم جديدSnipperclips: Cutting Tools into Desired Polygons using Themselves
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نشر من قبل
Andr\\'e van Renssen
تاريخ النشر
2021
مجال البحث
الهندسة المعلوماتية
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English
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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 consider several variants of the problem (such as allowing the tools to be disconnected and/or using an undo operation) and bound the number of operations needed for each of the variants.
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