Parametric Curve(s)
$$$
\forall\alpha\in\{0,2\pi\}\quad\;
2\leqslant\;k_{a}\;\leqslant8\quad\;
2\leqslant\;k_{b}\;\leqslant9$$$
$$$ \left \{ \begin{array}{r c l}
\theta(\alpha)& = &(k_{a}\times\alpha) \\
r(\alpha)& = &0.24\times\cos{(k_{b}\cdot\alpha)}
\end{array}\right .$$$