Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
[rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ?
#1
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
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
Question Continuously Iterating Modular Arithmetic Catullus 17 848 07/22/2022, 02:16 AM
Last Post: MphLee
  [Video] From modular forms to elliptic curves - The Langlands Program MphLee 1 214 06/19/2022, 08:40 PM
Last Post: JmsNxn
  Trying to get Kneser from beta; the modular argument JmsNxn 2 634 03/29/2022, 06:34 AM
Last Post: JmsNxn
  The super 0th root and a new rule of tetration? Xorter 4 9,951 11/29/2017, 11:53 AM
Last Post: Xorter
  Cellular auto : rule 30 number ? tommy1729 0 2,994 08/03/2016, 08:31 PM
Last Post: tommy1729
  Tetration and modular arithmetic. tommy1729 0 3,884 01/12/2014, 05:07 AM
Last Post: tommy1729
  modular tetration tommy1729 0 4,084 12/26/2010, 10:11 PM
Last Post: tommy1729
  Modular arithmetic Stereotomy 3 9,783 04/03/2010, 12:00 PM
Last Post: bo198214
  Arithmetic in the height-parameter (sums, series) Gottfried 7 19,461 02/06/2010, 12:52 AM
Last Post: bo198214
  Crazy power series in terms of base e andydude 3 11,825 06/14/2009, 11:40 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)