I’m trying to find the **parametric equations** for a **helix around a helix around a circle** (helix on helix on circle)

That is: I would like to start with a circle, add a helix around it and a helix around the helix.(See video)

I’m ok even if the second helix is not perfectly orthogonal to the first helix as long as we can have a simpler parametrization.

I’m ok also if the curve represents a helix around a helix around a helix.

I know the helix around a helix around and an axis is quite easy but I was not able to find a solutions for this case.

I’m interested in this parametric curve as a way to represent time and I would like to write a program to show data attached to that curve.