Cartesian equation:
4(x2 + y2 - ax)3 = 27a2(x2 + y2)2
Polar equation:
r = 4a cos3(θ/3)
Click below to see one of the Associated curves.
The name Cayley's sextic is due to R C Archibald who attempted to classify curves in a paper published in Strasbourg in 1900.
The evolute of Cayley's Sextic is a nephroid curve.
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The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Curves/Cayleys.html