![Lemniscate of Gerono: solution to y 2 = x 2 − x 4 {\displaystyle y^{2}=x^{2}-x^{4}} . Parametric equation: [ x y ] = [ cos t sin ( 2 t ) / 2 ] , t ∈ [ 0 , 2 π ] {\displaystyle {\begin{bmatrix}x\\y\end{bmatrix}}={\begin{bmatrix}\cos t\\\sin(2t)/2\end{bmatrix}},\;t\in [0,2\pi ]} .](http://upload.wikimedia.org/wikipedia/commons/thumb/8/83/Lemniscate-of-Gerono2.svg/678px-Lemniscate-of-Gerono2.svg.png)
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