how to draw these circles?

Question

How to draw these circles? I'm looking for a method which I can do it with Adobe Illustrator. (or draw in GeoGebra and export to illustrator)

(Adapted from dribbble, created by Olaf Muller.)

Answer 1

The lighter circles seem to have centers that lie on a common circle $S$, and have radii twice that of $S$.

In GeoGebra, try

sequence[circle[(cos(t),sin(t)),2],t,0,8,pi/3]

and fiddle with the details. The thicker circle that is concentric with the whole picture seems to have the same radius as the others, so you can tack on a

circle[(0,0),2]

The darker spirals are arcs of the circles that the code for the light circles produces. So try

sequence[arc[circle[(cos(t),sin(t)),2],(cos(t),sin(t))+2*(-sin(t),cos(t)),(-cos(t),-sin(t))],t,0,2*pi,pi/12]