ConwayLife.com

Hypothesis: The 1D 'crystals' are actually a failed replicator structure as they seem to arise from any soup if the soup is mirrored and placed an even number of cells away orthogonal to the mirror axis.

This would explain why they don't abide by the parity rules. Furthermore, any change that ...

Here is something quite remarkable.

Divide the field into two checkerboards like a chess field. Count the total number of living cells on either checkerboard.

If you do this for a single crystal seed, say this one:
x = 4, y = 3, rule = R2,C0,S4-7,9-12,B4,11-12,NB
2obo$4o$3o!
Then you will find ...

Thanks Cyclotrons for the summary of the Discord-discoveries.

I generated about 200 10-cell permutations that leave more than 50 cells after 200 generations. From those I threw away the doubles (because of symmetry and generation of precursors to already generated patterns) (detected by having ...

I was wondering if exploding seeds with less than 10 cells exist so I implemented an algorithm for the fast calculation of this rule. It's based on a multispin encoding approach (see https://doi.org/10.24355/dbbs.084-200511080100-675 and the comment in the code) which increases the speed about ...

For me who has not completely understand the rule, it features some curious anisotropicity. For example, there are replicators running in different orthogonal directions in the shown guns, whose basic unit is a hollow 3×3 square. But after drawing one of this D8_1 symmetric octomino in a grid ...

It's turing complete, since all gates are possible

This is correct, it is a processing sketch. I don't know how to code js so I sadly can't provide code there.

I should note some things about the usage of the code as it is:
After running the script you have to click the window once to gain focus. You have the following options:
[p] - pauses the ...

Xor-life was created by a helpful Anon and me on the /sci/ board (archived version of the thread: https://archived.moe/sci/thread/13004818/) in the attempt to look for an interesting self-referential cellular automaton.
Unlike cgol there isn't a global rule that determines cell behaviour, but rather ...

Hello everyone! I decided to join this forum because some Anon from /sci/ and I discovered a new (at least I think it is) and very interesting cellular automaton which we called Xor-life, and I hope that I will have enough time in the next couple of days to give a detailed report on this. We are ...