This tool is so much fun, and can yield some truly amazing things.
I had the best results with slight increases in states while keeping number of symbols low, but experiment! Share your favorites with their shareable URLS (not the one in your URL bar)!
For a list of awesome ones the creator found, check this out!
Most of these are created with 6 states, 4 symbols:
Bobbing waves: http://maximecb.github.com/Turing-Drawings/#3,4,0,1,1,2,3,1,...
Grey goo: http://maximecb.github.com/Turing-Drawings/#6,4,0,3,3,4,1,2,...
Rain on the window: http://maximecb.github.com/Turing-Drawings/#6,4,2,2,1,0,3,0,...
Slow spike growth: http://maximecb.github.com/Turing-Drawings/#6,4,1,2,2,5,1,0,...
Two green triangles on a vector display: http://maximecb.github.com/Turing-Drawings/#6,4,1,1,1,1,1,2,...
Throbbing triangle: http://maximecb.github.com/Turing-Drawings/#6,4,4,3,0,5,1,2,...
6 state, 3 symbols: Tearing in the world: http://maximecb.github.com/Turing-Drawings/#6,3,3,2,2,0,2,2,...
Flood-fill between black and white: http://maximecb.github.com/Turing-Drawings/#6,3,4,1,2,1,2,1,...
Snowdrifts: http://maximecb.github.com/Turing-Drawings/#6,3,2,1,2,2,2,3,...
And my favorite: Pangaea: http://maximecb.github.com/Turing-Drawings/#6,3,0,1,3,1,1,2,...