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I looked all over the internet and could not find a parametric equation for this shape. You can look at the link below to find the regular cartesian equation. If you are good at parametric equations you could probably convert this into parametric form. I am not so good at parametric equations.
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Some curves are easier to describe and perform calculations on if using parametric equations
If you have two equations give AND one parametric equation why do you need to find yet another equation?
It might be easier to calculate using numeric values directly if the equation is really simple.