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leios
cellular automata expert
I'm Alan, I have degrees in computer science and zooligy.
From Conways Life to Langton's Ant, discrete and continuous, totalistic and turning, various neighbourhoods and in various kinds of space, I know about cellular automata.
How many of them contain each other, how almost any set of rules makes turing complete ones, and how they turn up on paper, in the computer, and in organic systems.
I guess I'm a Domain Expert (hopefully), if anyone needs information on them for there maths related works, please ask.
I am new here and was going through the projects I read yours and got interested to drop by . . . and say hi. I have a call here on Collatz conjecture and waiting for collaborations. In fact, there have been moments I thought the conjecture could be better understood if viewed as cellular automation on a cartesian coordinate. I can share my thoughts maybe soon. In a different vein, how much do cellular automata helps to model/analyze fields like gravity given some rules? I have also some ideas/theories to illustrate using it but not quite sure how much effective it is going to be.
Spiral to the center-II.xlsx Do you find this worth proving that if you start anywhere in the field, you will always spiral to the origin? I don't know if this problem has really related with cellular automata body of knowledge :-) . . . .
2D Turing machines are a type of cellular automata, looks like outward spiralling, similar variants with different colour/rules would lead to inward spiralling. You don't need a proof, just trace it round from close in and you can see what happens.
I hate to disagree but this stuff is a direct interpretation of Collatz Conjecture, and it is inward spiraling for all I know. But I have to confess that the subject area is totally new for me. There are two things here. If the conjecture is translated to this visual (cellular automata) (1), will it be provable(2)?
Maybe the rule is something like: all colors alter the movement of the previous, except the brown which let the movement unaltered. It is neutral.
https://user-images.githubusercontent.com/108235428/177612358-ca630434-8785-422d-b8c8-9f8760e979f1.mp4