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paperfolding a square paper of side 1 to measure a distance 5/6

Source: 2010 Oral Moscow Geometry Olympiad grades 8-9 p2

August 16, 2020
geometrypaperfoldingsquaredistance

Problem Statement

Given a square sheet of paper with side 11. Measure on this sheet a distance of 5/6 5/6. (The sheet can be folded, including, along any segment with ends at the edges of the paper and unbend back, after unfolding, a trace of the fold line remains on the paper).