This project started as a question: is there real chaos in simple symbolic systems?
I built a model I expected to behave chaotically - but instead, it generated recursive, self-similar structures. That led me down a rabbit hole of reducing and analyzing the symbolic process, eventually uncovering a fractal sequence: Qₖ = floor(k·√2) mod 2.
Would love feedback, questions, or ideas on pushing this further.
Article: https://github.com/xcontcom/billiard-fractals/blob/main/docs...
Demo: https://xcont.com/binarypattern/fractal_dynamic.html
This project started as a question: is there real chaos in simple symbolic systems? I built a model I expected to behave chaotically - but instead, it generated recursive, self-similar structures. That led me down a rabbit hole of reducing and analyzing the symbolic process, eventually uncovering a fractal sequence: Qₖ = floor(k·√2) mod 2. Would love feedback, questions, or ideas on pushing this further. Article: https://github.com/xcontcom/billiard-fractals/blob/main/docs... Demo: https://xcont.com/binarypattern/fractal_dynamic.html