Sierpinski carpet fractal

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bwisialo
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Sierpinski carpet fractal

Post by bwisialo » Sun Feb 28, 2016 11:23 pm

A version of the Sierpinski carpet :D

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The version below follows a pattern of 1 - 4, rather than the above pattern of 1 - 8, like this

256 cells
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1024 cells
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amor fati
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Alast
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Re: Sierpinski carpet fractal

Post by Alast » Mon Feb 29, 2016 8:23 am

Oh, I see you got farther than me already :)

Now all you need to do is turn the inner squares by 45° ;)
Perfection hasnt reached me yet, but its trying hard!
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bwisialo
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Re: Sierpinski carpet fractal

Post by bwisialo » Mon Feb 29, 2016 4:54 pm

Mine probably uses more modes than it needs to, but this means it can bit edited relatively "easily" to get different result in color and development. Here's a link to a color coded version of the genome. And here's an image of what it looks like when black cells that are different modes are made different colors (256 cells)

Select the cells you want to change in color or in parent-child branching, and tweak away ;)

https://www.dropbox.com/s/h3yaqoag8l43w ... enome?dl=1

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amor fati
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bwisialo
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Re: Sierpinski carpet fractal

Post by bwisialo » Mon Feb 29, 2016 5:05 pm

I've only played around with colors and arrangement a bit, but it has plenty of potential. Here are some in black and white:

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amor fati
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bwisialo
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Re: Sierpinski carpet fractal

Post by bwisialo » Wed Mar 02, 2016 5:25 pm

I thought the 45 degree turn would be difficult, but it was more difficult than I thought. ;) I certainly came across a lot of different "carpet" patterns along the way. :)

This one doesn't reproduce itself properly. I assume it's possible to get it to do so, but it adds additional layers of difficulty

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This one reproduces beautifully, with a 1-12 ratio of big and small squares. The Siepinski carpet divides a square into 9. 1 center and 8 around it. Basically, the pattern below divides a square in 16 (2^4). 4 (2^2) in the center, and 12 around them. You can see the first image pretty easily as a square of 16 squares. In the third image, the first pattern is replicated 12 times around a white center :)

512 cells
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2048 cells
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8192 cells
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amor fati
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Alast
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Re: Sierpinski carpet fractal

Post by Alast » Wed Mar 02, 2016 9:40 pm

You made it! That's awesome! I didn't have a doubt you would ;) I didn't really have time to keep going lately. So not sure when you can expect something from my side again. But I do admire your findings!
Perfection hasnt reached me yet, but its trying hard!
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