## Problem of the Week 1199## Diverse TrianglesShow how to tile the plane with triangles so that all the triangles have the same area, but no two of the triangles are congruent. Note: A triangle is here viewed as the open set that is the interior of a triangle. "Tile" means the triangles are to be disjoint. Open question: Can this be done so that the perimeters of the set of triangles are bounded? Source: R. Nandakumar, Amrita School of Arts and Sciences, Kochi, India. |

6 January 2015