# How to parameterize an orange peel

I'm trying to parameterize the space curve determined by the boundary of a standard orange peel: for example, the one on this photo:

For example, the ideal curve would be inside the unit cube; have only one point of intersection with every horizontal plane $z=k$, when $k\in [-1,1]$; would start in $(0, 0, -1)$ and end in $(0, 0, 1)$, wrapping itself around them; and touch the boundary of the cube when $z=0$.

It's sort of a standard helix, compressed. I hope I was clear.

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