Joukowsky transformation of a circle centered at $\left(1,1\right)$ of radius $1$ is a curve resembling a heart.

Joukowsky heart

To be specific, it is \begin{equation*} \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\} \end{equation*} on the complex plane.