Parametric Curve(s)
$$$
\forall\alpha\in\{0,2\pi\}\quad\;
2\leqslant\;k_{a}\;\leqslant3.2\quad\;$$$
$$$ \left \{ \begin{array}{r c l}
\theta(\alpha)& = &\cos{(k_{a}\cdot\alpha)} \\
r(\alpha)& = &0.24\times\sin{\alpha}
\end{array}\right .$$$