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.

Joukowsky 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.