In the plane there exists finite interconnections
Source: IMO Longlist 1989, Problem 63
September 18, 2008
geometrygeometric transformationreflectiongeometry unsolved
Problem Statement
Let i \equal{} 1,2,3 be three non-collinear straight lines in the plane, which build a triangle, and the axial reflections in . Prove that for each point in the plane there exists finite interconnections (compositions) of the reflections of which carries into the triangle built by the straight lines i.e. maps that point to a point interior to the triangle.