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4 equal polygons with no common interior but common boundary segment

Source: 2009 Sharygin Geometry Olympiad Final Round problem 6 grade 8

July 26, 2018
geometrypolygon

Problem Statement

Can four equal polygons be placed on the plane in such a way that any two of them don't have common interior points, but have a common boundary segment?
(S.Markelov)