It's also slightly less complex than Gopher's, all it technically does is draw the sine graph with varying transformations, but after a lot of tweaking of settings I finally got something that I at least think looks representable.

(NOTE: the gif is about 4x slower than it actually runs at, perhaps even slower than that, and its a tiny bit glitchy, but it should give you an idea of how it flows.)
Spoiler
Here's the paste:
http://pastebin.com/SYeftZTM
Or if you prefer hastebin:
http://hastebin.com/buqeriwoja.lua
Just thought I'd share it, feel free to toggle the settings, here's a list of key variables and what they change:
Spoiler













