# How to parameterize an orange peel

I'm trying to parametrize 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.

-