没有人设计椋鸟群飞。没有一个细胞知道自己是豹纹的一部分。给网格一条关于邻居的规则，给一千只鸟一条彼此相处的规则，让没有大脑的黏菌去解开迷宫——结构便凭空涌现。这些是复杂性的玩具：简单到一行即可读懂，深奥到我们至今仍无法预测。按下播放，看整体如何超越其各部分之和。
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).
看一个 0 到 255 之间的单一规则号如何展开一幅无尽的时间织锦——从混沌噪声到分形秩序，直至图灵完备的计算。
看约束传播如何仅凭邻接规则，一格接一格地编织出电路、结与地貌。
数十万个无头的多头绒泡菌个体嗅探化学轨迹，自发连接成最优的运输网络。
在一点上落下数百万颗沙粒，看坍塌规则如何从纯粹的算术中雕出完美自相似的分形曼陀罗。
两种化学物质在环面网格上彼此追逐、相互消耗，从纯粹的数学中自发生长出珊瑚扇、豹纹与迷宫般的曲径。
一个微小的随机神经网络掌管每一个细胞——看它生长、自我修复，绽放成异样的活体纹理。
一种连续状态、连续核的元胞自动机，平滑的高斯卷积将无生命的噪声诱导成爬行、分裂、自组织的团块。
康威的零玩家宇宙——绘制细胞、雕琢规则，看滑翔机与滑翔机枪从混沌中刻出结构。
看分形闪电树如何从纯粹的布朗混沌中结晶而出——正是这条规则雕琢出玻璃上的霜花、珊瑚礁与闪电。
看一锅随机像素汤如何自组织成旋转的螺旋“恶魔”——正是驱动别洛乌索夫-扎博京斯基化学反应的那种可激发介质动力学。
看数百个自主个体仅凭三条局部规则——分离、对齐与聚合——自发汇聚成椋鸟群飞。
数百只虚拟蚂蚁仅凭信息素轨迹便能找到并利用食物来源——没有领袖，没有地图，只有共识主动性。