Coiled coils

I don't know if this could be useful for anything audio-related or anything at all, but the idea of coiling a coil iteratively is geometrically fascinating enough.
Could a coiled (coiled coiled...) coil perhaps offer some fun insights into symmetry and resonance?
How would I best coil coils without complex machinery? Could a "normal" winding machine be utilized for iterative coiling? (Let's say if I found a company with a programmable winding machine and asked them to do this)
Maybe with the help of a structural support for each step of the winding it'd be a matter of gentle enough operation to keep such a structure together.
Using a permeable supporting structure would be interesting especially.

I found only just one blog that touched a little bit on coiled coils:
http://harmoniouspalette.com/InductiveCouplingGeometry.html