Parametric Curve(s)
$$$
\forall\alpha\in\{0,4\pi\}\quad\;
0.6\leqslant\;k_{a}\;\leqslant2.8\quad\;$$$
$$$ \left \{ \begin{array}{r c l}
\theta(\alpha)& = &\cos^5{(k_{a}\cdot\alpha)} \\
r(\alpha)& = &0.24\times\sin^3{(4\cdot\alpha)}
\end{array}\right .$$$