To clarify,
I'd just like to have a variable-minimum-radius torus.
Small at "apogee", and wide at "perigee".

Here, the Dupin Cylide - it's exactly what I was thinking of.
https://en.wikipedia.org/wiki/Dupin_cyclide

clipka <ano### [at] anonymousorg> wrote:

> I suspect that such a torus might not have the necessary numeric
> stability to form artifact-free thin lines.

No idea, but good observation.
I know it's possible to do in POV-Ray (the Dupin Cyclide), because it was done
here:

http://www.dimensions-math.org/Dim_CH7_E.htm
http://www.geometrie.tuwien.ac.at/vis/vis036.html
http://www.geometrie.tuwien.ac.at/vis/vis037.html


> Personally, I'd try a sphere sweep based approximation instead --
> provided the newest experimental version turns out to work as I'm hoping.

That was my immediate idea, but IIRC from my investigations into Bezier splines,
you can't make a circle with a single spline, so it would have to be at least 2
pieces.

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