"A RIVER" looks like oscilloscope output. Maybe something from a more advanced digital scope with high speed differential signalling pattern analysis.
A fun project, but I wonder what the logic of doing this with spots was. Geometric lathes form continuous lines, afaik. I think it detracts quite strongly from the structure.
Thats a really good question. I did it with pixels because increasing the step count gives perfectly smooth curves for the static image. I never tried lines as I just jumped from static to animated, and reduced the step for performance.
I also played around with colors but couldn't settle on anything good in the short time I spent on it, but there is also plenty of opportunity for beauty there.