https://www.desmos.com/calculator/g7m5l5zaxa
\left(\frac{6\sin\left(t\right)^{2}\cos\left(t\right)}{4\sin\left(t\right)^{2}+\cos^{2}\left(t\right)},\frac{3\sin\left(t\right)\cos^{2}\left(t\right)}{4\sin\left(t\right)^{2}+\cos\left(t\right)^{2}}\right)
I cannot fathom the quadrifolium formula (4 petal rose) that fits the astroid. Is it the pedal curve? I tried the pedal curve parametric equations but got a different result.
I tried the parametric equation from below link:
