A very special type of polysquare puzzles is the set of 'square-puzzles', where all given shapes are squares with integral sidelength.
Reference
... March 1 - Glenn Miller, bandleader (+ 1944) March 2 - Dr. Seuss, author (+ 1991) March 8 - Victor de Kowa[?], actor (+ 1973) March 6 - Joseph Schmidt[?], tenor (+ ...