if you like fractals/set etc you should look into the 3n+1 problem, many vids on youtube. its a very interesting question and i see many parallels between fractals/sets/infinity and 3n+1
the 4,2,1 breakdown in particular that occurs is quite fascinating
>>20818119this image in particular is very similar to how 3n+1 has been visualized. from a point with creates a line, this line then branches out into infinity.
ive been fascinated with fractals, geometry and such algos since i was a teen. there truly is not end to the depth or insight one can gain from just being curious about it. another very interesting pattern is the flower of life/ metatrons cube. this fractal or pattern also has its basis following the most simple and basic rules and starting point. its incredible to me that in some sense all of these things are connect on some level even if we cant see it clearly.