Very beautiful.

I am a complete newbie, so I might be asking about something obvious -- does anyone know how some of these would relate to plotting random Polya vector fields ?

For example, one can take a sum of complex rational functions of the form

    f_i(z) = r_i / (z - p_i) 

where (r_i,p_i) are complex numbers drawn from some random point process, say a generalized Poisson one.

One needs to plot the conjugate of sum_i f_i(z).

EDIT: so many lovely pages pointed to in the comments ! Let me convey collective thanks to all, rather than clutter this page with individual thanks.

@ttctciyf you are marked dead. Not sure why.

Couldn't help myself and asked Google Studio to one shot this: https://perlin-noise-fields-explorer-560691554368.us-east1.r...

If you have played Minecraft, you have a pretty good idea what kind of things Perlin Noise can generate. Maybe not the structures but definitely the terrain is generated by Perlin noise. (At least it was in the 1.4.7 days when I was in the code.)

My old work using perlin noise https://a.tulv.in/noise-planets.html

One of the cool things to do with Perlin noise is to build a kinda predictable random number generator. Good for games.

This is awesome

some beautiful effects and good ideas. My favs are iterations 8, 20, 25

This is super nice article. Will revisit this one more time and try that out as well. In the age of AI slop, it is such a pleasure to read actual people blogs about what they do and are passionate about. Thank you this one!

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