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# .

Ampersand curve

Ampersand curve from the Mathematica ContourPlot[(y^2 - x^2) (x - 1) (2 x - 3) - 4 (x^2 + y^2 - 2 x)^2 , {x, -1, 2}, {y, -1.2, 1.2}, Axes -> True]

The ampersand curve is a quartic plane curve given by the equation:

$$\ (y^2-x^2)(x-1)(2x-3)=4(x^2+y^2-2x)^2.$$

It is an algebraic curve of genus zero, with three ordinary double points, all in the real plane. [1]

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