[wruza]

Oh, fractals thread and I have a couple of questions. Are fractal “features” enumerable? Finite?

By feature I mean in fractal zoom videos they pick some zoom path and it generates repeating shapes again and again until they switch to different path. How many repeating patterns there are?

Do fractals exist with an infinite number of features?

Do fractals exist where features cannot repeat in future zoom levels? Or at least that you barely could predict where a repeating part could be. Sort of a chaotic fractal.

[ronald_raygun]

Oh they fractal features are definitely infinite. I worked on a genetic algo a to breed fractals together a number of years ago, and one thing I noticed was that the highest non-zero poly power would determine the shape of the fractal - so a c^3 fractal would have "three petals", a c^4 would have "four petals". So clearly these things can have infinite features

https://github.com/zoso95/genetic-algorithm-fractals