Back تربيع المربع Arabic Sgwario'r sgwâr Welsh Quadratur des Quadrates German Cuadratura del cuadrado Spanish Quadrature du carré French Mempersegikan persegi ID ルジンの問題 Japanese Kuadrat segi empat sama Malay Quadratura do quadrado Portuguese Квадрирование квадрата Russian
Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer length.) The name was coined in a humorous analogy with squaring the circle. Squaring the square is an easy task unless additional conditions are set. The most studied restriction is that the squaring be perfect, meaning the sizes of the smaller squares are all different. A related problem is squaring the plane, which can be done even with the restriction that each natural number occurs exactly once as a size of a square in the tiling. The order of a squared square is its number of constituent squares.