Langton's Ant 

I challenge that

​@@s_w_i_s_s_c_h_e_e_s_e3.. 2.. 1.. FIGHT!

And some rules produce chaos for up to several million steps and then suddenly produce orderly structures. It is possible that I missed some interesting ones by limiting the number of steps for each rule.

@@cyberhelix5152 It could be possible that given enough time and space all permutations would stabilize, but good luck testing that theory. lol

What makes a counter useful/interesting?

I think a "turn back" option would be very interesting too Or a "go diagonally (right)" Or maybe even "more straight but move diagonally when u meet left/right" More rules means more complex shapes

Because Langton's ant is grow fractally and crystals grow fractally

Yeah, they are pretty cool. Consider giving a like, and if you feel particularly mesmerized, you could even subscribe :)

I couldn't... i would fall asleep because they're so hypnotic.

There were quite a few rules with the Sierpinski triangle. This one was the most symmetrical and interesting.

i think it also looks like a brain

My guess is that getting an interesting image with multiple ants will be much harder because they will overwrite each other, and to avoid that, they would have to be placed on precisely defined spots on the grid, which will probably be hard to find. But maybe I'll take a look into that.

@@cyberhelix5152 As long as they use the same colors they will just use each other's tiles, which could maybe lead to a lot of cool stuff. The only problem I could think of is them going onto the same tile at the same time, but that could be solved by stepping them after each other and not at the same time. Their starting positions and rotation could vary, so every simulation would start with the rule, position and rotation for each ant.

@@cyberhelix5152 I remember playing with a mobile app that allowed multiple ants to be placed and use more complex rules like go straight, turn around, switch rule sets upon hitting specific colors. Multiple ants on the same rules in some configurations would create much more intricate patterns than the rule set allows with a single ant but most of the time they would just amplify the chaos or sometimes speed up the process by looping on each other's trails. Getting ants on specific coordinates was challenging at high resolutions though with a touchscreen.

I agree, it could be cool, but getting the right configuration of ants would be challenging.

There are some patterns I've never seen that I decided to include in the video. Glad you liked it

Thanks :)

Thanks for the suggestions; color cycling sounds interesting and could be worth trying. Unfortunately, point 1 fails with rules that fill a large portion of the screen and then produce a highway. Increasing picture dimensions could help with that, but it would also increase computing time. Point 2 fails with rules that fill a large portion of the screen with few colors. Maybe surprisingly, they are very common, and when I see tens of thousands of them, they are not that interesting. That said, I also cannot use this to get rid of them because there are very rare almost monochromatic pictures. I tried a few algorithms, but they usually fail on the simple premise that an interesting pattern is unpredictable and rare, and each algorithm that eliminates boring patterns could accidentally get rid of some interesting ones. I'll probably gather all the suggestions in the comments and make another video if they help to find some new patterns

@@cyberhelix5152 maybe it would then be worth considering the change over time. What about patterns that start as one type, then shift to a different one? Or patterns that have a large/continuous change in the relative color densities? I feel like once you get into the multi-million set large patterns, either the search space will have to be very restrictive, or just random sampling, and some interesting patterns will be lost just because of the search space size.

Honestly the journeys were part of what interested me. Those, and the Mandelbrot one. ​@cyberhelix5152

I think so, for things like crystals there are rather simple physical rules. Some patterns we see in living things seems to be governed by simple rules as well like snails' shells, Romanesco broccoli, and so on.

pretty cool :)

I know they exist, but that's about all. I'll check them out. Thanks for the suggestion.

Do you mean something like en.wikipedia.org/wiki/Hashlife? That should work. Maybe I'll try to make another Langton's ant video with suggestions from the comments.

Depends on the design, for some simple things like lines and shapes, it should be possible. However, I haven't tried to figure out what is possible and what is not.

very descriptive. I like these

I don't understand your question, but since Langton's Ant is a universal Turing machine, it is theoretically possible to generate any pattern with it.

@@cyberhelix5152 Watch the video "Life in Life" by Phillip Bradbury, it's a gigantic pattern that recreates the functionality of Game of Life on a massive scale. It's hard to explain but the idea is creating a Langton's Ant pattern where the ant creates giant pixels on a grid that follows the same rules as Langton's Ant, so if you zoom out really far it looks like the regular thing even though the pixels are actually made of thousands of tiny pixels.

You'll get more different patterns, I used just L and R to keep it simple.

you are right, Langton's ant is universal Turing machine

When I watch the video now, there are a lot of things that could be done better, but it would take too much time to finish it. So next time, I will make it better :)

Cool video overall hope your channel grows

I'm doing some modifications. Once it's done (hopefully soon) I'll make another video, and make the repository public.

@@cyberhelix5152 thank you, I might use the program for my school when you are done programming it.

@Yamer I've made the repository public, you can find link in description.

@@cyberhelix5152 thanks a lot mate

So does any one know what the path is I do

For me, an interesting pattern is one I haven't seen before. I'm working on another similar project. Feel free to suggest some approaches; I might use them to filter patterns. Thanks

@@cyberhelix5152 Okay, that is a rather vague definition - which makes the investigation open ended and interesting, YES! For relevant source data I would: - Track number of blank cells touched and count of cells grouped by color - Track the max and min coordinates the ant has visited (gives rectangular bounding box) - Track ant position in polar coordinates: Distance from origin and angle (if it's too slow, approximate) - (maybe experiment with tracking moving averages of the above on a dynamic window with varying length calculated from boundary size and/or distance and/or iteration) These are time series that I would give the standard treatment to start. That is: Bulk-analyze for linear, quadratic and periodic behaviors. Then condense further, find commonalities, construct a few dozen or so of what I'd call 'signature metrics' that can tell about short-term and global behavior without looking at the picture itself. (I'll not spoil what I expect to see for each kind of pattern. Figuring that out is what I consider to be the fun part) If I really wanted to get fancy, I'd run a cluster analysis on those signatures and examine outliers more closely. Any rule that settles into a predictable pattern within n iterations I would filter out / set aside. Any that don't settle into one of the main patterns will stand out from the others and thus be interesting - to me - and worth running more iterations and see if it will stay chaotic or eventually go highway or floodfill or be of a class of patterns that the method described above doesn't easily catch. Have fun!

That's great advice, thanks, I'll try to implement it.