Title
Symmetric assembly puzzles are hard, beyond a few pieces
Abstract
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.
Year
DOI
Venue
2017
10.1016/j.comgeo.2020.101648
Computational Geometry
Keywords
DocType
Volume
Assembly puzzle,NP-complete,Parameterized algorithms
Journal
90
ISSN
Citations 
PageRank 
0925-7721
0
0.34
References 
Authors
3
9
Name
Order
Citations
PageRank
Erik D. Demaine14624388.59
Matias Korman217837.28
Jason S. Ku3114.26
Joseph S.B. Mitchell44329428.84
Yota Otachi516137.16
André van Renssen610419.30
Marcel Roeloffzen733.84
Ryuhei Uehara852875.38
yushi uno922228.80