http://programmer.ie/tags/continuous-cellular-automata/ Recent content in Continuous Cellular Automata on Programmer.ie: Modern AI programming Hugo en-us Mon, 10 Aug 2026 19:43:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-27/ Mon, 10 Aug 2026 19:43:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-27/ <h1 id="cellular-automata-from-first-principles-27-from-discrete-cells-to-continuous-state">Cellular Automata From First Principles 27: From Discrete Cells to Continuous State</h1> <p>So far most of our cellular automata have used a small set of states:</p> <div class="highlight"><pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;"><code class="language-text" data-lang="text"><span style="display:flex;"><span>0 or 1 </span></span><span style="display:flex;"><span>empty / prey / predator </span></span><span style="display:flex;"><span>ready / firing / refractory </span></span></code></pre></div><p>That makes rules easy to inspect.</p> <p>But it also forces every update to make a hard categorical decision.</p> <p>What happens if a cell can instead hold <strong>any value between 0 and 1</strong>?</p>