Odd-Even Replicator B1357/S02468

[Necromesa]

I have just finished programming a Cellular Automata simulator in Visual Basic. It allows you to write the rules you want the automata to follow. The first thing I tried was to put odd numbers of neighbours in the birth condition and even numbers (including 0) in the survival one. I suspected something especial could happen. It results in the automata copying the initial figure you draw 9 times in a few generations and then 9 again but more spaced. Later on, I think because the spacing keeps increasing, you get to see groups of 25 replicas...



I'm new here, ¿was this already discovered? (probably yes) ¿is there any mathematical explanation?

[Extrementhusiast]

Welcome to the forums! I hope you have a good stay here. Get used to using RLE format, because you'll be seeing it a LOT here.

The answer to the original question: Yes, this has been discovered. Not only do all patterns replicate in B1357/S02468, all patterns also replicate in B1357/S1357.

Additionally, you don't need the "¿" symbols in English like you do en Español. Same thing holds true for the "¡" symbols before exclamations. (But I digress.)

[Necromesa]

Thank you for the welcome and sorry for the "¿" mistake, I used to have that rule in mind, but I wrote the post in a hurry (anyway you shoud give "¿" a try, it's very useful to know where a question starts xD).

For a moment I thought I had found something with the odd-even thing, I have a lot to learn about GOL.

I'll be around, looking for more information about RLE format. Thanks for answering. ¡Read you again!

[edwardfanboy]

Isn't this rule called "Fredkin"?

[Dr. Monstaa]

Bump.

Yes, this is notable for the fact that every pattern is a replicator