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min no of lines, reflecting on a circle to cover each point in plane

Source: 2003 Oral Moscow Geometry Olympiad grade 9 p6

October 26, 2020
geometrycombinatoricslines

Problem Statement

A circle is located on the plane. What is the smallest number of lines you need to draw so that, symmetrically reflecting a given circle relative to these lines (in any order a finite number of times), it could cover any given point of the plane?