I found one that looks like the ocean. (Try on max speed!)

http://wry.me/hacking/Turing-Drawings/#4,3,2,2,1,1,1,2,0,1,2...

This one's building something in the middle:

http://wry.me/hacking/Turing-Drawings/#4,3,3,2,2,3,1,3,3,2,1...

A very clear fractal with triangles:

http://wry.me/hacking/Turing-Drawings/#4,3,0,1,1,0,1,3,3,1,2...