Polar Explorer

$\theta_{start}$
$\theta_{end}$
$\theta_{start}$
$\theta_{end}$
$r_{min}$
$r_{max}$
$\theta_{min} (\alpha)$
$\theta_{max} (\beta)$
Symmetry Tip:
Many curves repeat after $\pi$ or $2\pi$. Use the $\theta$ bounds to see how the curve "draws" itself.