This is more of what I was thinking of when I started down this route.
These are ensembles of particle paths in a chaotic dynamical system. Not only are these ensemble pictures beautiful, but they highlight some interesting mathematics and physics.
But what I’ve really been after is a better source of semi regular noise. The sinusoidal waves and interpolation between random points have been good, but for really entrancing fluid random motion, I need a chaotic semi-periodic source to feed into the other visualizations.