Imagine taking a 12'' pipe cleaner and grabbing it at both ends and scrunching it up. At that point if you go along the pipe cleaner from one end to the other, you'll have a displacement of like 3" (because that's how far apart the ends now are) but you'll have a distance of 12" (traveling the whole length of the pipe cleaner). The same principle applies here: as the square approaches the circle, the square just becomes more and more jagged and messy trying to maintain it's initial 4 units and length so that the square will never really reach the shape of the circle.
Dennis "FloatesMcgoates" Cao.or "sentry" if you are white.
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