Parametric Curve(s)
$$$
\forall\alpha\in\{0,2\pi\}\quad\;
0.05\leqslant\;k_{a}\;\leqslant0.16\quad\;
k_{b}\in \mathbb{N}\quad4\leqslant\;k_{b}\;\leqslant28\quad\;$$$
$$$ \left \{ \begin{array}{r c l}
\theta(\alpha)& = &\alpha \\
r(\alpha)& = &k_{a}\times\left (\cos^{k_{b}}{(2.5\cdot\alpha)}-1.5\right )
\end{array}\right .$$$