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dividing a diagonal of a 2x2 square into 6 equal parts with unmarked ruler

Source: 2011 Oral Moscow Geometry Olympiad grades 8-9 p3

April 17, 2020
Rulergeometryconstructiondiagonal

Problem Statement

A 2×22\times 2 square was cut from a squared sheet of paper. Using only a ruler without divisions and without going beyond the square, divide the diagonal of the square into 66 equal parts.