Tiling a Rectangular Area Using a Set of Unique Squares

A set of natural numbers tiles the plane if a square-tiling of the plane exists using exactly one square of side length n for every n in the set. From [2] we know that N itself tiles the plane. From that and [3] we know that the set of even numbers tiles the plane while the set of odd numbers does not. According to [1] it is possible to tile the plane using only an odd square. In this paper we will check that if it is possible to tile the plane using an even set and n odd numbers or not.