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the challenge of pentominoes is to fit all 12 pieces (each piece having 5 cells) to cover an area of 60 cells. amazingly, these 12 pieces can fully cover these rectangles: 6x10, 5x12, 4x15 and 3x20, each rectangle having an area of 60 cells of course. the pieces can also cover an 8x8 chessboard with a 2x2 hole in the center. for more information, read the wiki entry: https://en.wikipedia.org/wiki/Pentomino