The Vanishing Area Puzzle

Area doesn't change when you rotate or flip over a shape, yet that is what seems to happen here!
Each pattern is made with 16 pieces
In one picture they fit snugly, with no gaps.� The other has a white gap in the middle.� So the first picture has a way of using the pieces to cover more area.� But how can this be?� the area of the pieces are no different than before?

This puzzle is from an article by Martin Gardner in Scientific American, May 1961.� If you give up, try printing this page and cut out the pieces to manipulate. You can also look for clues at the source of the puzzle here


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