I've often pondered whether it is possible to generate geometrical, point and fractal graphics using algorithms in After Effects. Fascinated by expressions since starting in CS3, I have always experimented with different types of generation and control to create more organic motion graphics, and animate them. After learning and working with Trapcode Particular and Form, which specialize in amazing particle effects, I further played around with ideas and animations combining the particles with expressions, auxillary particles and physics to recreate a realistic particle graphic. I had varied success, but I still couldn't find a unique effect.
It has been a while since I stepped back into After Effects; I usually float between applications until I need to use them so I got myself back up to speed with AE and tried my hand back at fractals - not the ones generated by fractal noise or turbulent noise either.
After a couple of days experimenting (bearing in mind I am still working on my laptop, and not my editing supercomputer) I had got to grips with generating graphics, but with this technique the results are partly random generations so occasionally I end up with a result that is completely different to what I expected but looks fantastic! With the curves following Bezier, they look naturally pleasing too.
My fractal tests -[gallery ids="979,978,977,976,975,974,973"]