Animation Notes
The experiment was to discover if 'feedback' is possible using Gimp/MathMap/Composer. Composer is similar to using multiple effects pedals with a musical instrument.
I started with a single 3D fractal image and applied this chain of effects to it:

Composer would not let me connect a patch lead from the right hand side to any box on the left hand side. It only allows 'feed forward'.
It can do effects chains in parallel and with three mixers I could merge image streams in various ways.
I found this type of processing uses a lot of computer power. On a 4-core/4Ghx box adjusting a slider was taking a long time.
I didn't have full control over the process. I exported the frames with Gimp-Gap as an AVI and imported to Kdenlive where I finished the clip using some of the filters like mirror.
I got some ideas about improving this process. Next time I will try to make more frames and hopefully get MathMap to make them end at the beginning.
The soundtrack is from here:
https://www.youtube.com/watch?v=7avZPKlJV0Y