Nesting polygons
Source: Canada Repêchage 2018/2
April 9, 2018
geometrygeometric transformationrotationreflection
Problem Statement
We call a pair of polygons, and , nesting if we can draw one inside the other, possibly after rotation and/or reflection; otherwise we call them non-nesting.Let and be polygons. Prove that if we can find a polygon , which is similar to , such that and are non-nesting if and only if and are not similar.