Computer Science > Computational Geometry
[Submitted on 8 Mar 2017 (v1), last revised 8 Apr 2019 (this version, v2)]
Title:Symmetric Assembly Puzzles are Hard, Beyond a Few Pieces
View PDFAbstract:We study the complexity of symmetric assembly puzzles: given a collection of simple polygons, can we translate, rotate, and possibly flip them so that their interior-disjoint union is line symmetric? On the negative side, we show that the problem is strongly NP-complete even if the pieces are all polyominos. On the positive side, we show that the problem can be solved in polynomial time if the number of pieces is a fixed constant.
Submission history
From: André van Renssen [view email][v1] Wed, 8 Mar 2017 02:12:35 UTC (288 KB)
[v2] Mon, 8 Apr 2019 03:43:53 UTC (295 KB)
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