polyline of length 200 in a square of side 1 (2019 Novosibirsk Oral Geo Oly 9.6)
Source:
April 28, 2021
geometrypolyline
Problem Statement
A square with side contains a non-self-intersecting polyline of length at least . Prove that there is a straight line parallel to the side of the square that has at least points in common with this polyline.