Suppose you have a piece of paper in the shape of a circle, with a circumference of 8 feet. (It’s a pretty large piece of paper!) Now you fold the circle in half to produce a semi-circle; then fold that over to produce a quarter-circle; then fold that to produce an eight-size wedge of a circle; and so forth. How many folds (assuming, counterfactually, that the paper could withstand this) would it take before the edge of the remaining wedge is less than 0.01 inch?
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