Wolfram Mathworld bores down into a much-discussed-by-others-but-usually-idly question about pegs and holes: The answer to the question “which fits better, a round peg in a square hole, or a square peg in a round hole?” can be interpreted as asking which is larger, the ratio of the area of a circle to its circumscribed square, or the area of thesquare to its circumscribed circle? […]