Parametric Curve(s)
$$$
\forall\alpha\in\{0,2\pi\}\quad\;
k_{a}\in \mathbb{R}\quad\;
k_{b}\in \mathbb{N}\quad1\leqslant\;k_{a}\;\leqslant15\quad\;$$$
$$$ \left \{ \begin{array}{r c l}
\theta(\alpha)& = &\cos^{k_{a}}{(\alpha+k_{b}+t)} \\
r(\alpha)& = &0.23\times\sin{\alpha}
\end{array}\right .$$$