Equation for this graph - is it parametric?

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I can't seem to figure out the equation of the attached graph. I have tried polar, parametric, and cartesian, and I'm almost positive its parametric.
Does anyone know what the equation might be?
 

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Look at the plot: x should be periodic, and y has to be combined from a monotonously increasing and a periodic part. Try something like x=sin(t), y=t+sin(2t) as in the figure attached and change constants to fit to the original one. ehild
 

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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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