Mondrian Puzzle


 

 

 

 

 

 

 

 

Piet Mondrian – Dutch artist, in his works he used colorful rectangles of different areas. Inspired by his paintings, mathematicians came up with a logical puzzle.

The Mondrian Puzzle is a puzzle that asks for a rectangle tiling of a integer-sided square. All used rectangles must be integer sided and pairwise non-congruential. The score of such a tiling (of which multiple are possible) is the difference between the areas of the largest and the smallest used rectangle. The ultimate challenge consists of finding a tiling that has the lowest score possible.Is a problem that is easily explained but seems to be hard to solve.