Hi everyone, can anyone tell me if the rule 30 prize is still running? I have been working very hard on it for about a year! I have left a comment on the offical page, which is still awaiting moderation, just getting a bit nervous that everyone has forgotton about it! Thank you, David

Graham this looks neat. Can you explain a little more?

I understand that it's not in Mathematica. If it's one or two lines of math, we can translate it.

Hi, I have an algebraic equation for RULE30, it runs on octave but would be great to see it iterated on Mathematica, https://www.linkedin.com/feed/update/urn:li:activity:6609546528723877889/

I also have a turmite equation (based on my langtons ant wave equation) which would be nice to see in Mathematica, could someone please help me ?

I wanted to play with cellular automata for a while. When I saw the post about the contest, it finally got me into gear and I had some fun with rule 30:

https://brunni.de/findings30/

From the abstract:

The usual pattern starting from a single cell with state 1 / black is examined. It is contructed from a richer structure which yields a progression of polynomials for diagonals from the right. It is shown that each diagonal from the left can be expressed by the progression of polynomials for diagonals from the right and how the connection between left and right diagonals forces the diagonals from the left to eventually become periodic.

The necessary and sufficient condition for period doubling of diagonals from the right is established. It is also shown that periods cannot decrease. The result suggests that predicting period doubling is computationally expensive.

I suppose there is nothing new in there?