[Skipping rows and columns] - A New Kind of Science: The NKS Forum

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Skipping rows and columns

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Posted by: Alastair Hewitt

I basically found this by accident last night, but it looks really cool. I loaded up the hybrid class 3-4 example http://forum.wolframscience.com/att...?s=&postid=2710 into GIMP and it came up really weird. What GIMP did was scale it to 50% by just skipping every other row and column of the bit map.

The interesting effect may come from the alternating rules used to generate the CA. I think by skipping every other row and column you can effectively filter out some behavior from one pair of the symmetrical rules. The triangles totally disappear and are replaced with dotted shaded areas and short lines zig-zagging down in between.

I've attached a 6000 step (which ends up as a 3000 line image) example of the 30 110 86 124 sequence; it looks a bit like oil running down a piece of glass.

Has any one else seen this kind of thing before? Is it because of the alternating rules?


Posted by: Jason Cawley

This is a nice example of ICA behavior. Yes I've seen similar stuff before. These irregular looking dendritic structures arise naturally in ICAs. Not always this elaborate.

What's really nice about this example compared to similar ICA behaviors is the way the branching direction seems to be inverted from what you'd expect. That is, that you see solid lines running together down the time dimension, rather than radiating.


Posted by: Alastair Hewitt

This came from a really interesting CA which seems to have some very unique properties (as you can tell I've been having some fun with it recently).

I've tried this skipping of rows and columns with the other CAs/ICAs I've been generating. So far I've not been able to get anything remotely unique like this one. I've has a good look at the structure and I'm still a bit baffled why this comes out so different.

I attached a sample of the image before and after the skipping, with a composite to show who the pattern originates.




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