Attached is a pink colored 2D spiral on a blue background.

Please keep in mind that I’m a newbie with FreeCAD and parametric modeling. Thus, some of my ideas on mechanics might seem naive. Nonetheless, here is what I think about the mathematics:

I believe the Golden Spiral paradigm and equations will work for this. Two spirals would form the edges of the pinkish spiral using two slightly different growth factors, until finally the spiral thins in width as the outer spiral gets truncated by a boundary curve, possibly a circle.

Golden Spiral equations are at

https://en.wikipedia.org/wiki/Golden_spiral

Golden Spiral freecad web discussion is at

https://forum.freecadweb.org/viewtopic.php?t=16604

The second attachment is a double spiral, which is the ultimate goal. The single spiral depiction was made by using Gimp paintbrush to paint over one of the spirals in the image below. I want to get a single spiral that when copied and pasted at 180 degrees rotation would look like this second attachment.
The two spirals must not touch at any point. Once the two identical spirals were in place, it should be possible to tweak them both by modifying their parameters with identical adjustments. Or possibly this would be a script that could be edited to tweak parameters like the two growth factors and then re-run.

Anyone interested should contact me and we can discuss particulars, including pay.

Part of this endeavor would be to teach me how to use your script or macro.

Warm regards,

John Walt Childers

Can you create a spiral like this in FreeCAD as a parametric model? I would want to be able to tweak it, not just make a duplicate. By tweaking, I mean vary the growth factor and thickness.