How to Trace a Real-Life Flower Using Polar Equations?

992 Views Asked by At

Here is the flower I'm trying to trace:

$\hskip2cm$enter image description here

How can I trace this flower using polar equations? I currently have the formulas \begin{align} r_{1}&=1.75\sin(10\,\theta + 18) +3\\ r_{2}&= 1.5\cos(10\,\theta+8)+3\\ r_{3}&=1.3 \end{align}

However, it fails to precisely match the outline of the flower. I am allowed to use any number of equations, as long as it matches the outline.

Please help, thanks!