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every line through a point meets the boundary of a polygon at 2n points

Source: IMAR 2016 p2

September 27, 2018
combinatorial geometrycombinatoricspointIntersectionlinespolygon

Problem Statement

Given a positive integer nn, does there exist a planar polygon and a point in its plane such that every line through that point meets the boundary of the polygon at exactly 2n2n points?
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