The Puzzle

In these puzzles you’ll be Mondrian’s nasty mathematical boss. Instead of allowing Mondrian to randomly draw rectangles and colors - you lay out precise requirements: 1) Mondrian must cover the canvass with rectangles. 2) Every rectangle on the canvass must be different… so Mondrian cannot paint both a 4x5 and a 5x4 rectangle. 3) Mondrian must try to minimize his score. The score of a painting is the area of the largest rectangle minus the area of the smallest rectangle. 4) When coloring, Mondrian must use as few colors as possible. Colors cannot touch along edges or corners.