Parametric Curve(s)

$$$ \forall\alpha\in\{0,10\pi\}\quad\; k_{a}\in \mathbb{Z}\quad-3\leqslant\;k_{a}\;\leqslant3\quad\; k_{b}\in \mathbb{N}\quad0\leqslant\;k_{b}\;\leqslant3$$$
$$$ \left \{ \begin{array}{r c l} \theta(\alpha)& = &\alpha \\ r(\alpha)& = &\left(\cos^{10}{(1.5\cdot\alpha)}-0.65\right)\times\;k_{a} \end{array}\right .$$$