Reynolds Boid Rules (1987)
Steer toward the average position of nearby flockmates. Creates the gravitational pull that binds the swarm into a coherent group.
Steer away from flockmates that are too close. Prevents collisions and creates breathing room – the repulsive force that gives structure.
Steer toward the average heading of nearby flockmates. Creates coordinated motion – agents moving in shared direction without central control.
Emergent Properties
🌀 Self-Organization – No leader directs the swarm; order emerges from local rules alone
🔄 Phase Transitions – Small parameter changes create sudden shifts between ordered and chaotic states
🎯 Distributed Consensus – The swarm collectively agrees on targets without voting or hierarchy
💫 Edge of Chaos – Maximum adaptability occurs at the boundary between order and disorder