Mystery Curve 2

John D. Cook shared this great curve: [url]http://www.johndcook.com/blog/2015/06/03/mystery-curve/[/url] exp(it) – exp(6it)/2 + i exp(-14it)/3 from the book Creating Symmetry: The Artful Mathematics of Wallpaper Patterns by Frank Farris. I converted it to parametric, and was immediately wowed by the possible variations. Brent Yorgey wrote about this curve today, too, with a nice gallery of variations. [url]http://mathlesstraveled.com/2015/06/04/random-cyclic-curves-5/[/url] He had the great idea to parameterize the values of the coefficients as well. That's a_2, b_2 and c_2 in the sketch. Great effects. Give it a try!

 

John Golden

 
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13 – 19+
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English
 
 
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