Today I found this great free OSX Fractal program called Gaston. It makes 3D solids that you can rotate and he controls are simple sliders so you don't need a calculus degree to use it.
It's named after Gaston Julia, who we have to thank for the discovery of the Julia set.
Here's the page where you can get it .
I asked Leo if I could export the models but sadly it is not possible, so my search for a way to make them into real objects is once again foiled unless I reconstruct the shape from images.
You can also see that the shapes do not seem to be the same type of thing as the previous orbital -types seen below, made with Fracture.