This is a turbo-charged version of the previous setup, inspired by a recent post in the C4D thread doing the same thing.
Here's everything happening in this one:
Circles are emitted and scale up in concentric fashion
They distort as they grow, but only on the outer circles - the inner circles remain intact.
They have a colour gradient from inner to outer
They are duplicated and projected onto a sphere
Each copy has its own noise variation - specifically each copy has a different noise offset and frequency applied. I can precisely define what these values are for each one.
There is a mask (falloff) that drives both scale and colour of these copies.
There is a scene file for this. I also just threw a noise on top of the whole thing, for shits and giggles, and added a basic render setup in Karma.
houdini_SJEtYGNQHo.mp4
This is the post from the C4D thread:
Concentric Rings on a Sphere Scene File.zip