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.