Getting Creative with Perlin Noise Fields

> wiggly string-like texture from treating a noise field as an angle and sampling the curvature, with some dodgy trig.

https://www.shadertoy.com/view/XssGD8

I wonder if the gifs in TFA would translate into the shader animation domain?

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) 

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.