Here is a beta copy of the DoyleSpiral script, which gives basic spirals.
It is a "port" of Robin Houston DoyleSpiral explorer code. The buildArm function code was moved inline, during debugging, and could be separated out.

This script was build by using and modifying the pattern of the previous DoyleCell script, so the Root Solver is still doylefn.js.

There is more work to do.
Adding color styles or gradients, varying by arm would be nice.
Only q_arms are implemented. p_arms are not implemented, which would require exchanging the roles of points a and b.
Right hand spirals would need complex conjugate added, or do it in MoI later.
Moebius transform may be possible by math nodes(?).

Due to increasing seasonal work load, improvements may be slow...

modMin and modMax are essentially modulus boundary circles centered at the origin, and all of the circle centers of the Doyle circles, (or spheres),
occur between these boundaries.
For some large values of p and q, there are circles formed for some quadrants which exceed the modulus boundary of modMax,
for unknown reason.

There is a demo .nod file, which can be loaded to the nodeeditor canvas

"Correct" values for p and q are 1 <=p <=q, with 2<q, but some "incorrect" values for p and q form other circle patterns...
Some other "incorrect" values Alert that a root cannot be calculated.

Place DoyleSpiral.js and doylefn.js in the nodeeditor extensions folder.
It is OK to leave the DoyleCell.js file there, but remove any other old DoyleSpiral.js files.

Place the rudimentary DoyleSpiral.html file in extensions/Documents/EN folder.
With up to date nodeeditor program, the .html file will be view-able under the
nodes right-click info button.

A French version translation could be placed in the FR folder.

- Brian