Cellular auto for pi ??

[tommy1729]

A question : are there simple 1D cellular automatons that can compute pi approximations ?
Such as pi in binary with black and white as 0,1 or as a limiting ratio of consective white vs black cells etc ...

Regards

Tommy1729

[tommy1729]

I know rule 110 is universal , therefore with a certain imput rule 110 does the job.

But im looking more for an explicit simple example.

Also im more focused on the automaton , rather then the imput.


I wonder about a simple black cell as a start and then an automaton that gives pi in Some way.
Im looking for specific examples of non-universal cellular automaton that give pi.

Conjectured cases are also nice.

Regards

Tommy1729