WOLFRAM|DEMONSTRATIONS PROJECT

Creating a Cardioid, a Nephroid and Other Epicycloids

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roll circle
0
position of red point
0
inner circle radius
2
zoom out
3
This Demonstration shows a cardioid traced by a point on a circle rolling around another circle of the same radius (
r=2
). Different types of epicycloids can be seen with different radius values, for instance, a nephroid (for
r=3
). For large
r
parameters, flower patterns are produced.