The evolute of Cayley's sextic with parametrization
 |  |  |
(1)
|
 |  |  |
(2)
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is given by
 |  | ![1/4[2+3cos(2/3t)-cos(2t)]](/images/equations/CayleysSexticEvolute/Inline9.svg) |
(3)
|
 |  |  |
(4)
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With parametrization
 |  |  |
(5)
|
 |  |  |
(6)
|
the evolute is given by
 |  | ![1/4[2+3cost-cos(3t)]](/images/equations/CayleysSexticEvolute/Inline21.svg) |
(7)
|
 |  |  |
(8)
|
This curve is a nephroid.
Cayley's Sextic Evolute
See also
Cayley's Sextic, Evolute, NephroidExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Cayley's Sextic Evolute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CayleysSexticEvolute.html