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Follow a point on the rim of a wheel as it rolls (without slipping) on a flat road and you'll get a cycloid. It's a beautiful curve with all sorts of interesting applications. [Wiki bit.ly/2St3vmA] #50FamousCurves
Fun fact: The area under one arch of a cycloid is exactly three times the area of its generating circle. #50FamousCurves
Fun fact: The period of a cycloidal pendulum is independent of its amplitude. (This isn't the case for the simple pendulum.) This was discovered by Huygens in his search for more accurate pendulum clock designs ≈350 years ago. #50FamousCurves
[Gif source: Wikipedia, Rem088roy]
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