Silly me. I'm going to refer you back to a wrapped spring.
Closed and Ground Spring - Alternative to Helical Sweep
WF4 has a Wrap feature, right?
The trajpar is didn't work nicely due to the high degree of change. Looks funny.
Wrap pretty much takes care of what I was suggesting with flatten quilt.
So the only thing the Wrap needs is the overall circumference of the "barrel" multiplied by the nymber of coils, and the "barrel" needs to be the right height.
