Name the Curve - Easier Version

$\begin{cases} x = \pm 2 \left(1-\dfrac t3\right)^\frac 32 & \implies \left(\dfrac x2\right)^\frac 23 = 1 - \dfrac t3 \\ x y \pm 2 \left(\dfrac t3\right)^\frac 32 & \implies \left(\dfrac y2\right)^\frac 23 = \dfrac t3 \end{cases} \implies \left(\frac x2 \right)^\frac 23 + \left(\frac y2 \right)^\frac 23 = 1$

A curve of the form $\left(\dfrac xa \right)^\frac 23 + \left(\dfrac yb \right)^\frac 23 = 1$ , where $a$ and $b$ are constants, is an astroid , The black curves in the figure.

Bonus : The astroid of this problem is the locus traced by a point on the circumference of a small circle (red, radius $\frac 12$ ) rolling along the circumference of a larger circle (blue, radius $2$ ) internally.