The pattern
An activator diffuses slowly, autocatalyzing its own production. An inhibitor diffuses fast, suppressing the activator at range. The tension between them crystallises into structure.
Fungi · Decomposition · Network
Beneath every forest floor, a single algorithm routes nutrients through darkness — branching where resources are scarce, pruning where they are not.
An activator diffuses slowly, autocatalyzing its own production. An inhibitor diffuses fast, suppressing the activator at range. The tension between them crystallises into structure.
Hyphal tips extend toward nutrient gradients. Where two tips meet, anastomosis fuses them into a loop — redundancy against failure, efficiency against distance.
Change two numbers — feed rate f, kill rate k — and the same equations describe river deltas, opinion clusters, root systems, slime mold foraging, urban sprawl. The substrate changes. The logic does not.