[rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ? - Printable Version +- Tetration Forum ( https://math.eretrandre.org/tetrationforum)+-- Forum: Tetration and Related Topics ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1)+--- Forum: Mathematical and General Discussion ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3)+--- Thread: [rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ? ( /showthread.php?tid=908) |

[rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ? - tommy1729 - 07/24/2014
Is it possible to easily rewrite rule 30 in terms of modular arithmetic ? I Always want to rewrite cellular automatons/tag systems in terms of modular arithmetic. But it seems hard. So take rule 30. we have imput A , B , C and output D. all values are either 0 or 1. Can we easily find F(A,B,C) = D mod 2 or some similar modular arithmetic to do rule 30 ? I assume to take F as an integer polynomial. I consider replacing values 0,1 with 2,3 and doing F*(A,B,C) = D mod 5. But Im still puzzled. And kinda embarressed to ask. There is, or might be , a slight connection to tetration. But dont ask yet, its complicated. regards tommy1729 |