Creating a Cardioid, a Nephroid and Other Epicycloids

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This Demonstration shows a cardioid traced by a point on a circle rolling around another circle of the same radius (). Different types of epicycloids can be seen with different radius values, for instance, a nephroid (for ). For large parameters, flower patterns are produced.

Contributed by: Pablo Noguerol López de los Monteros (May 2017)
Suggested by: Pablo Alberca Bjerregaard
Open content licensed under CC BY-NC-SA


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