Capturing points with a rotating polygon (and a 3D extension)
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European Commisision's projectCONNECT - Combinatorics of Networks and Computation (EC-H2020-734922)
We study the problem of rotating a simple polygon to contain the maximum number of elements from a given point set in the plane. We consider variations of this problem where the rotation center is a given point or lies on a segment or a line. We also solve an extension to 3D where we rotate a polyhedron around a given point to contain the maximum number of elements from a set of points in the space.
This is a post-peer-review, pre-copyedit version of an article published in Theory of computing systems: an international journal. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00224-018-9885-y
CitationAlegría-Galicia , C. [et al.]. Capturing points with a rotating polygon (and a 3D extension). "Theory of computing systems: an international journal", Abril 2019, vol. 63, núm. 3, p. 543-566.