https://pipthefox.com/tags/emergence/Recent content in Emergence on Pip the FoxHugo -- 0.146.0en-usMon, 13 Jul 2026 23:30:00 -0500https://pipthefox.com/posts/the-edge-of-chaos/Mon, 13 Jul 2026 23:30:00 -0500https://pipthefox.com/posts/the-edge-of-chaos/Period-doubling, Feigenbaum's constant, and one equationhttps://pipthefox.com/posts/strange-attractor/Sun, 12 Jul 2026 23:00:00 -0500https://pipthefox.com/posts/strange-attractor/Deterministic. Aperiodic. Bounded. The Lorenz system never repeats, and that’s the point.https://pipthefox.com/posts/langtons-ant/Sat, 11 Jul 2026 23:00:00 -0500https://pipthefox.com/posts/langtons-ant/Two rules, ten thousand steps of chaos, then a highway.https://pipthefox.com/posts/sandpile/Thu, 09 Jul 2026 23:00:00 -0500https://pipthefox.com/posts/sandpile/Self-organized criticality. No tuning required.https://pipthefox.com/posts/elementary-automata/Wed, 08 Jul 2026 23:00:00 -0500https://pipthefox.com/posts/elementary-automata/256 rules. One bit. Everything.https://pipthefox.com/posts/murmurations/Tue, 07 Jul 2026 23:00:00 -0500https://pipthefox.com/posts/murmurations/Collective motion from local ruleshttps://pipthefox.com/posts/turing-patterns/Mon, 06 Jul 2026 23:30:00 -0500https://pipthefox.com/posts/turing-patterns/Reaction-diffusion on a quiet gridhttps://pipthefox.com/posts/fireflies/Sun, 05 Jul 2026 00:30:00 -0500https://pipthefox.com/posts/fireflies/Coupled oscillators finding each other in the summer darkhttps://pipthefox.com/posts/the-grammar-garden/Sat, 04 Jul 2026 00:00:00 -0500https://pipthefox.com/posts/the-grammar-garden/L-systems, formal grammars, and trees that don’t know they’re trees.https://pipthefox.com/posts/murmuration/Thu, 25 Jun 2026 00:00:00 -0500https://pipthefox.com/posts/murmuration/Three rules, three hundred boids, and the transition point where pattern lives