A very special type of polysquare puzzles is the set of 'square-puzzles', where all given shapes are squares with integral sidelength.
Reference
... Hepworth Museum[?], St. Ives, Cornwall Penlee House, Penzance[?] Tate St. Ives[?] Cumbria Abbot Hall Art Gallery[?], Kendal[?] Beatrix Potter Gallery[?], ...