1D Cellular Automata Playground

2026-02-098:03287paraschopra.github.io

2D scatter plot of all 256 rules by their metric values, color-coded by Wolfram class. Select X and Y axis metrics to explore the rule space structure. Click any dot to view detailed rule information.…

2D scatter plot of all 256 rules by their metric values, color-coded by Wolfram class. Select X and Y axis metrics to explore the rule space structure. Click any dot to view detailed rule information.

For a selected rule, sweep initial density from 0% to 100% and plot how each metric changes. Reveals phase transitions and critical points where rules undergo dramatic behavioral shifts.


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Comments

  • By andai 2026-02-1219:361 reply

    Cool! Would be nice to get some explanation for this though.

    These are Wolfram's rules, though?

    How are they sorted here? It's kind of sorted by number, but then there's discontinuities in the numbering?

    Also I wonder... Most of them aren't doing very interesting things, maybe there's a way to detect trivial loops and filter those out? (Maybe compression, as mentioned here https://news.ycombinator.com/item?id=46942864)

    • By paraschopra 2026-02-134:381 reply

      These are all 256 rules. Where do you spot discontinuities? Also, each rule does show compressibility and other metrics like entropy

      • By andai 2026-02-137:52

        Well, I didn't know there were 256 rules, I don't know how that works, and I'm one of the luckier ones who has heard about this stuff (but not much)!

        My point: add some context please, either as a top level comment, or much better, on the actual page.

        As a stopgap solution for others:

        https://en.wikipedia.org/wiki/A_New_Kind_of_Science

  • By akkartik 2026-02-133:53

    Ah, fond memories: https://akkartik.itch.io/carousel/devlog/702311/all-the-1-d-...

    https://akkartik.name/post/2024-04-24-devlog

    Only benefit over OP: pinch-zoom on a multi-touch screen.

  • By Jerrrrrrrry 2026-02-134:231 reply

    This is awesome, and is something I've been working on small demos for.

    The stats are cool, could use definitions - especially for Entrophy, as that confuses most and can be defined arbitrarily, although the central tenet is basically the ability for the output to be GZIP vs random output.

    • By paraschopra 2026-02-134:381 reply

      Definitions are there if you hover on them.

      • By janez2 2026-02-1314:49

        i seem to be missing something crucial, how do i interpret the truth table? assuming green means "becomes white", trying to step through rule 1 i get different results

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