SuperShapes in OpenScad

Continuing the madness... I was getting laughed at in my Design 101 class, so the only way I thought of to silence the other kids was to come out with my SuperShapes!

After having done the previous SuperEllipse work, it was just a matter of time before the formulas came knocking at my door wanting to be implemented.

This thing implements the SuperFormula (muwaaahhhaahaaahaaa)!!

What the heck is that? Best thing is to take a look at the pretty pictures at this web site: http://paulbourke.net/geometry/supershape3d/

If you're really a math nutter, then take a look at the math as well. It's actually not that complicated. The complication here is just turning the formula into something that can be dealt with by OpenScad. In particular, making sure the thing turns out to be 2-manifold, so that you can actually generate .stl files and print the results, therein lies the rub.

The supershape.scad files contains two rotines of interest:
RenderSuperShape2D() - This takes the