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drostie
This one was fun:

http://maximecb.github.io/Turing-Drawings/#6,6,1,2,2,5,3,0,0...

evincarofautumn
It’s interesting how most of the machines seem to quickly reach a steady loop, freeze with no further changes, or descend into static with no discernible pattern. It would be cool to see how they would behave if they had access to limited I/O—the current display notwithstanding, as it’s less like listening to a person speak and more like watching their brain function.
bglusman
I mentioned New Kind of Science below, but also relevant here, he did a lot of quantifying these kinds of patterns and islands of complexity in cellular automata... I never finished the book, so unsure how or if he really connected it to other disciplines, but a good reference point if interested in this stuff.
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EGreg
Is this kind of like Conway's game of life?
bglusman
A little bit, but reminds me more of Stephen Wolfram's 'New Kind of Science', which are also finite state automata like game of life...
a-nikolaev
This machine is interesting. It does not look periodic, fractal-like patterns are slowly changing with time: http://wry.me/hacking/Turing-Drawings/#5,4,1,2,2,2,2,1,1,3,3...

A related machine, but eventually diverge to static: http://wry.me/hacking/Turing-Drawings/#5,4,3,2,0,2,2,1,2,1,2...

Update. One more: http://wry.me/hacking/Turing-Drawings/#5,4,3,2,0,1,1,2,2,1,2...

lelandbatey
World of squares emerges, then marches across the screen.

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

Ah, found my old comment when this last got posted (found here: https://news.ycombinator.com/item?id=5709765):

I quite like this one, it's as though the environment deteriorates. Don't watch it to fast:

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

At one point, right before it goes over the "entropy cliff" it creates what looks like a lot of Sierpinski triangles:

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

I found it quite interesting that one as complex as this could stabilize:

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

This seems to end up like a frozen lightning bolt: http://wry.me/hacking/Turing-Drawings/#4,5,3,3,3,2,4,0,2,2,3...

This creates a pattern almost like hair in the wind: http://wry.me/hacking/Turing-Drawings/#4,5,2,3,0,2,4,3,0,3,1...

Seems as though it's many cats standing on each others heads: http://wry.me/hacking/Turing-Drawings/#4,5,0,3,1,0,3,1,2,1,0...

Like waves on a beach: http://wry.me/hacking/Turing-Drawings/#4,5,3,4,2,1,2,2,0,4,0...

Some otherworldly data wind: http://wry.me/hacking/Turing-Drawings/#4,5,0,3,3,3,3,1,0,3,2...

Eventually, all clouds fade away: http://wry.me/hacking/Turing-Drawings/#4,4,1,1,1,1,2,1,2,3,3...

In and out of phase: http://wry.me/hacking/Turing-Drawings/#4,4,2,2,0,3,1,2,3,1,0...

Like sand dunes moving: http://www.wry.me/hacking/Turing-Drawings/#4,3,1,1,3,3,1,0,2...

Saws on parade:

Claudus
Here are few good ones:

http://maximecb.github.io/Turing-Drawings/#4,3,1,2,1,1,1,1,1...

http://maximecb.github.io/Turing-Drawings/#4,3,3,2,2,2,2,2,0...

http://maximecb.github.io/Turing-Drawings/#4,3,3,2,1,2,1,1,3...

http://maximecb.github.io/Turing-Drawings/#4,3,2,2,2,3,1,3,1...

http://maximecb.github.io/Turing-Drawings/#4,3,1,2,2,2,2,3,2...

yeukhon
Raining (or a helicopter moving and you looking down on earth): http://maximecb.github.io/Turing-Drawings/#4,3,0,1,3,0,2,0,2...

show is up : http://maximecb.github.io/Turing-Drawings/#4,3,1,2,1,2,2,1,3...

wait wait brb: http://maximecb.github.io/Turing-Drawings/#4,3,0,2,3,3,2,0,0...

lines moving up: http://maximecb.github.io/Turing-Drawings/#4,3,2,2,2,2,1,2,1...

pixles moving: http://maximecb.github.io/Turing-Drawings/#4,3,1,2,3,2,2,1,0...

space rocket shooting: http://maximecb.github.io/Turing-Drawings/#4,3,0,2,1,3,2,0,0...

powerpoint effect: http://maximecb.github.io/Turing-Drawings/#4,3,1,2,2,3,2,2,2...

undo powerpoint effect: http://maximecb.github.io/Turing-Drawings/#4,3,3,1,0,2,1,1,3...

sorting algorithm (reminds me of insertion sort lol): http://maximecb.github.io/Turing-Drawings/#4,3,0,2,1,1,2,1,3...