Bifolium

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Bifolium for a = 1.
Bifolium for a = 1.
For the brachiopod genus, see Bifolium (brachiopod).

The bifolium is a quartic plane curve of the equation:

(x^2 + y^2)^2 = ax^2y.\,

In polar coordinates, its equation is

\rho = a \sin\theta \, \cos^2\theta.

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