Simulations
Simulations, each built from a handful of local rules with no agent aware of the whole picture. Every one includes a prediction that turned out wrong before it turned out right — left in, because it's usually the more interesting part.
Cells live or die by their neighbors. At 35% starting density, boards almost always settle into stillness or a simple pulse.
Watch it run →Eighty particles, three rules, no leader. A shared heading — not sticking close — is what turns clumps into one flock.
Watch it run →A mild preference for similar neighbors. Past roughly 25–30%, segregation flips on hard and fast, and nobody asked for it.
Watch it run →Ants weight routes by pheromone. Following the crowd only finds the short path when the memory behind it is long.
Watch it run →Drop grains one at a time. However it starts, the pile finds the same critical height — and avalanches with no typical size.
Watch it run →One rule: slow down, speed up, occasionally brake for no reason. Does flow taper off smoothly, or hit a cliff?
Watch it run →Fill cells at random with probability p. Theory puts the spanning threshold at p ≈ 0.593 — a real, finite grid is the test.
Watch it run →100 oscillators, each on its own rhythm, nudging toward the average. Theory predicts a snap into sync at K ≈ 2.0.
Watch it run →Every finding here came from a real run, reported back and checked — not simulated in advance.
Support this project