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Spectrum Rule. 124/1/32

Posted: October 3rd, 2013, 5:29 pm
by Rhombic
OK, I've been working for a while with this and it turns out that it analyses any pattern for Life that you introduce in it. For flat sides, it produces a sort of Sierpinsky's triangle (google it up for more info about it) and for really complex sides it creates a very complex pattern.

I call this the "spectrum" because in this mashed still trail it leaves behind, there are some generations oscillators that turn yellow, like little stars inside the red mess. You can identify lines and clusters of these and they are arranged depending on what the initial pattern was. For example, for the 3x1 pattern, 4 Sierpinsky triangles are formed, facing up, down, left and right.
For this other pattern... :

Code: Select all

x = 3, y = 2, rule = 124/1/32
.A$3A!

Here the result is different. The flat edge at the bottom still creates a Sierpinsky triangle that will develop forever if you give it enough time. However, for example in generation 413, many bright dots are aligned as two lines like if it was the graph for y=|x|, each one of these points separated by 32 cells diagonally.

The patterns created by the oscillators, as well as the few ordered red sequences (such as small triangles) in the "chaos" that is not a Sierpinsky triangle can identify certain characteristics of the input (Generation 0), which is the reason I gave it this name.


EDIT: I'll attach tomorrow a photo with labels.

Re: Spectrum Rule. 124/1/32

Posted: October 3rd, 2013, 5:39 pm
by towerator
a single dot creates an amazing quadruple serpinsky triangle in a beautiful effect.
EDIT: it becomes even more amazing with more states.

Code: Select all

x = 1, y = 1, rule = 124/1/256
A!
This is incredible. there's blue, green in this pattern being composed of red and yellow.

Re: Spectrum Rule. 124/1/32

Posted: October 4th, 2013, 12:31 pm
by Rhombic
https://www.dropbox.com/s/l48fib1tabs0l ... xample.JPG
Click afterwards on the image icon to be able to see it.

Re: Spectrum Rule. 124/1/32

Posted: October 12th, 2013, 9:28 am
by Rhombic
Wowo this rule is fantastic. I keep getting surprised by the different patterns that it creates.