Personne ne dessine une nuée d’étourneaux. Aucune cellule ne sait qu’elle fait partie des taches d’un léopard. Donnez à une grille une seule règle sur ses voisines, donnez à mille oiseaux une seule règle les uns sur les autres, laissez une moisissure sans cerveau résoudre un labyrinthe — et la structure surgit de nulle part. Voici les jouets de la complexité : assez simples pour se lire en une ligne, assez profonds pour que nous ne puissions toujours pas les prédire. Lancez la simulation et regardez le tout dépasser ses parties.
A panicking crowd flees a room under Helbing's social-force model — watch arches clog the doorway, push the panic up and throughput drops (faster-is-slower), then drop a pillar by the door and flow climbs.
Four cell states and three rules build clocks, diodes and logic gates as electrons chase along copper wire.
A lattice of stubborn neighbours: each cell keeps borrowing a random neighbour’s opinion until coarsening domains slowly devour one another and the crowd lands on consensus — unless a few immovable zealots flip the whole population.
Thousands of self-propelled specks, each only copying its neighbours’ heading — dial down the noise and a leaderless flock crystallizes out of the swarm.
A 2D Turing machine with internal state on a grid of colours — a single head whose transition table conjures growing spirals, snowflakes, and fractal cities out of an empty lattice.
Hundreds of brainless termites blunder across a field of scattered wood chips — pick one up, carry it, drop it beside another — and with no blueprint, no foreman, and no memory, the litter slowly gathers itself into a handful of growing piles.
Scatter thousands of identical foragers over two sugar mountains, let each greedily walk to the richest patch it can see and pay its keep — and from a perfectly even start a steep order of rich and poor crystallises, the Gini coefficient climbing in real time while the Lorenz curve bows away from equality.
Reiter’s hexagonal cellular automaton grows the iconic six-fold snow crystal one diffusion step at a time — from a single frozen seed to a stellar dendrite.
Rafler's continuous-space Game of Life — Conway's rules melted onto a smooth [0,1] field, where soft gliders crawl and luminous blobs drift, merge and divide like living cells.
Give every agent on a checkerboard city the mildest of preferences — be content as long as merely a third of your neighbours share your colour — and watch a perfectly mixed grid tip, within a handful of steps, into stark blocks of one kind, the segregation index climbing toward total even though no one ever wanted it.
From one lit cell, the XOR rule draws the Sierpiński triangle — the very same fractal as Pascal’s triangle with the odd numbers shaded, then generalised mod 3, 5 and 7 by Lucas’ theorem.
A lattice of species locked in a cyclic food chain — each one hunted by the next — self-organises a random soup into chasing, rotating spiral waves.
On a single-lane ring with no bottleneck, a tiny hesitation snowballs into a stop-and-go wave that crawls backward against the flow — the jamiton, born from driver imperfection alone.
Open each lattice site with probability p, watch the clusters, and catch the instant a single giant component snaps across the grid at the critical threshold.
A two-state Turing machine on a grid: one ant, one rule per colour, and ten thousand steps of chaos that suddenly straightens into an endless highway.
A self-reproducing cellular automaton: one tiny loop carries an instruction tape, extends a construction arm, copies itself, and buds a growing colony of replicators — life-like reproduction from eight states and 219 rules.
A lattice of magnetic spins boiling between order and chaos — cool it past the Curie point and watch domains crystallize out of noise.
Gerhardt & Schuster’s excitable-medium cellular automaton: a random soup of sick and healthy cells spontaneously winds itself into rotating spiral and target waves — the same patterns the Belousov–Zhabotinsky reaction makes in a dish.
Trees grow, lightning strikes, fire sweeps — three cell rules that tune themselves to the edge of chaos, where blazes become scale-free.
A field of fireflies starts blinking in chaos; each one nudges its neighbours a little forward when it flashes, and out of nowhere the whole meadow locks into one breathing pulse.
The famous oscillating chemical reaction, simulated as an excitable medium — broken wavefronts curl into rotating blue↔red spirals and a stimulus blooms into concentric target waves.
A three-state excitable automaton that never sits still — firing cells leave dying wakes, spawning endless streams of self-propelled gliders.
Rain particles straight down onto a growing surface and watch three deposition rules carve three different roughnesses — uncorrelated, smoothed, and the rugged KPZ overhangs in between.
Self-propelled disks with nothing but rotational noise and a shove — crank the density and dense clumps condense out of a dilute gas with no attraction at all (MIPS).
Observez un seul numéro de règle de 0 à 255 dérouler une tapisserie infinie du temps — du bruit chaotique à l’ordre fractal jusqu’au calcul Turing-complet.
Observez la propagation de contraintes tisser circuits, nœuds et paysages tuile par tuile à partir de pures règles d’adjacence.
Des centaines de milliers d’agents Physarum sans tête flairent des pistes chimiques et se câblent spontanément en un réseau de transport optimal.
Laissez tomber des millions de grains en un point et regardez la règle d’effondrement tailler un mandala fractal parfaitement auto-similaire à partir de pure arithmétique.
Deux substances chimiques se poursuivent et se consument sur une grille toroïdale, faisant spontanément croître éventails coralliens, taches de léopard et labyrinthes à partir de pures mathématiques.
Un minuscule réseau de neurones aléatoire gouverne chaque cellule — regardez-la croître, s’auto-réparer et s’épanouir en textures vivantes et étranges.
Un automate cellulaire à état continu et à noyau continu, où une douce convolution gaussienne coaxe un bruit sans vie en blobs rampants, se divisant et s’auto-organisant.
L’univers sans joueur de Conway — peignez des cellules, façonnez des règles, regardez planeurs et canons tailler de la structure dans le chaos.
Observez des arbres d’éclairs fractals cristalliser à partir du pur chaos brownien — la même règle qui sculpte le givre sur le verre, les récifs coralliens et la foudre.
Observez une soupe de pixels aléatoires s’auto-organiser en « démons » spiralés en rotation — la même dynamique de milieux excitables qui anime la réaction chimique de Belooussov-Jabotinski.
Observez des centaines d’agents autonomes former spontanément une nuée à partir de trois simples règles locales : séparation, alignement et cohésion.
Des centaines de fourmis virtuelles trouvent et exploitent des sources de nourriture par les seules pistes de phéromones — sans chef, sans carte, rien que de la stigmergie.