Fun Math Club

Sol Lewitt Puzzle

Barry Cipra devised a puzzle based on American artist Sol Lewitt's etchings titled Straight Lines in Four Directions and All Their Possible Combinations. The fifteen etchings depict from one to four lines in a square. The arrangements of the lines in each square are shown below with an additional square containing no lines (Lewitt's original works were black and white; color has been added below to make the puzzle.)

If you notice, the some of the lines extend continuously from one side of the large square to another. For example, the orange line on the top row of squares goes all the way from the left side to the right side of the large square. Other lines, like the black line in the first column, do not extend continuously from one side to another. Similarly, some of the green and blue diagonal lines extend from one side of the large square to another while others do not. For example, the green line starting in the second square in the top row extends to the left side of the square, but the green line starting in the third square in the top row does not.

Can you arrange the small squares into a 4x4 square so that all lines go continuously from one side of the large square to another side?

Sol Lewitt Puzzle
If you must know, here is one solution.