Period parallelogram

Let $(\omega_1,\omega_2)$ form a fundamental pair of periods for some function. The points $m\omega_1+n\omega_2$ form the vertices of the period parallelgrams with respect to this fundamental pair. One such parallelogram has vertices $(0,0),(\mathrm{Re}(\omega_1),\mathrm{Im}(\omega_1)), (\mathrm{Re}(\omega_2), \mathrm{Im}(\omega_2)),$ and $(\mathrm{Re}(\omega_1+\omega_2),\mathrm{Im}(\omega_1+\omega_2))$.