What stops a piece of paper from being folded more than seven times?
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Nothing stops a piece of paper from being folded more than seven times if the paper is thin enough. Depending on the thickness and width of the paper, after a certain number of folds, the paper stack becomes thicker than it is wide. After that point, there simply is nothing left to fold, so the limit is reached. Each fold in half makes a paper twice as thick, so that n folds of a paper that has a thickness of t results in a total thickness of 2nt. At the same time, every two folds cuts the width in half, so that n folds reduce the width w to (1/2)^n/2w.
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If you take a roll of toilet paper and roll it out into one long line you can fold it even more...
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