on 6/28/2014 5:00 PM
@StevenStrogatz posed a fun question this evening: If an elliptical swimming pool has a one-foot wide border around it, is the outer edge of the border also an ellipse?— Steven Strogatz (@stevenstrogatz) June 28, 2014 People quickly realized the answer is “no,” but how to show it? I’ll let someone else do the formal proof, but a quick visualization makes it pretty obvious. Play around with the sliders below to see when the border is close to being an ellipse, and when it’s not. document.write(''); var [...]
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