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cutting out a convex polygonm folding it several times, can it be an 7-gon?

Source: 2015 Sharygin Geometry Olympiad Correspondence Round P1

August 2, 2018
geometrypaperconvex polygon

Problem Statement

Tanya cut out a convex polygon from the paper, fold it several times and obtained a two-layers quadrilateral. Can the cutted polygon be a heptagon?