Drawing a heart using Joukowsky transformation
Joukowsky transformation of a circle centered at $\left(1,1\right)$ of radius $1$ is a curve resembling a heart.
To be specific, it is
\[\left\{1+\mathrm i+\mathrm e^{\mathrm it}+ \frac1{1+\mathrm i+\mathrm e^{\mathrm it}} \,\middle|\,t\in\left[0,2\pi\right)\right\}\]on the complex plane.