MathDB

2

Part of 2016 IMAR Test

Problems(1)

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

Source: IMAR 2016 p2

9/27/2018
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?
combinatorial geometrycombinatoricspointIntersectionlinespolygon