TOT 274 1990 Autumn O S2 3 infinite sets of // lines
Source:
June 8, 2024
geometrygeometric transformationrotationcombinatoricscombinatorial geometry
Problem Statement
The plane is divided by three infinite sets of parallel lines into equilateral triangles of equal area. Let be the set of their vertices, and and be two vertices of such an equilateral triangle. One may rotate the plane through around any vertex of the set . Is it possible to move the point to the point by a number of such rotations(N Vasiliev, Moscow)