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Experiments 56

PhysarumSlime mold without the mold. Each agent senses pheromone at three points — left, center, right —...Strange AttractorsDeterministic systems that never repeat. Each attractor is a set of differential equations — no...Lorenz AttractorThree equations, no randomness — yet the path never repeats. The Lorenz system was meant to model...Bifurcation DiagramOne equation: xn+1 = r·xn·(1xn). Increase r and watch the logistic map's long-term behavior split:...Wa-TorAlexander Dewdney's 1984 ocean: fish reproduce, sharks hunt fish, sharks starve if they can't eat....Schelling's SegregationThomas Schelling showed in 1971 that mild individual preferences produce extreme collective...Cyclic Cellular AutomataRock beats scissors, scissors beats paper, paper beats rock — applied to every cell simultaneously....Newton's FractalNewton's method for finding roots, applied to the whole complex plane. Each point is colored by...Fourier TypeEvery letterform is a closed curve. Every closed curve is a sum of circles. Watch a glyph's outline...Type RainCharacters fall in columns, each script at its own pace. Greek, Devanagari, Arabic, CJK — different...Glyph MorphTwo letterforms dissolve into each other. Their ink becomes particles, briefly scattered, then...Kinetic TypeWords as physical objects. They carry mass proportional to their length, bounce off walls, collide...Glyph FieldA noise field rendered as characters. Each symbol is chosen by visual weight — silence at the...HarmonographTwo pendulums, two axes. As each swings and slowly decays, their combined motion traces a curve...Chladni FiguresSand on a vibrating plate migrates to the nodal lines — places where the plate doesnt move. The...Penrose TilingA tiling that never repeats but is never random. Roger Penrose discovered in 1974 that two shapes —...Brownian MotionA particle jostled by invisible collisions traces a path that looks random but obeys deep laws....SIR EpidemicThree states, one equation. Susceptible individuals become Infected, then Recovered and immune. The...Kuramoto ModelSynchronization from chaos. Each oscillator has its own natural frequency, yet above a critical...Collatz ConjectureTake any positive integer. If even, halve it. If odd, multiply by 3 and add 1. Repeat. Does it...Particle LifeParticles of different species attract and repel each other according to a matrix of interaction...Cloth SimulationThousands of points connected by springs, each pulling its neighbors back toward equilibrium....Gravitational LensingMass bends spacetime, and spacetime bends light. Behind a massive lens, stars stretch into arcs,...SpirographWheels within wheels. A small circle rolls inside a large one, tracing curves of startling...Chaos GameFractals from dice rolls. Pick a random vertex and jump halfway toward it. Repeat. From this...Pendulum WavePhase as choreography. Pendulums of carefully tuned lengths start together, drift apart into...Wave Function CollapseStructure from constraint. Each cell begins in superposition — all tiles possible — then collapses...SortingOrder from comparison. Every sorting algorithm answers the same question — put these elements in...MazeStructure from constraint. Each algorithm carves passages by removing walls, but different rules...Elementary CA256 possible rules, one dimension, infinite variety. Each cell looks at itself and its two...VoronoiGiven a set of points, divide the plane so every location belongs to its nearest point. The result...Wave EquationA membrane vibrating in two dimensions. Click to strike it, drag to draw walls. Waves reflect,...Game of LifeFour rules, two states, infinite complexity. A cell is born if it has exactly three neighbors. It...Ising ModelA grid of tiny magnets, each pointing up or down. Below a critical temperature they spontaneously...PercolationEach cell is independently alive with probability p. Below a critical threshold, all clusters are...Diffusion-Limited AggregationStructure from noise. Random walkers drift aimlessly until they touch something solid and freeze in...BoidsNo leader. No choreography. Each agent sees only its neighbors and follows three rules — stay...Magnetic PendulumPredictability has a fractal boundary. A pendulum swinging over three magnets always settles on one...Light DispersionWhite light is a chord — a prism reveals the individual notes. Each wavelength bends by a different...L-SystemsA formal grammar that generates fractal geometry. An axiom, a handful of rewrite rules, and a...GravityNewtonian gravity between point masses. Place bodies by clicking the canvas, or load a preset to...LeniaContinuous cellular automata. Unlike Conways Game of Life (alive or dead, on or off), Lenia uses...Langton's AntOne ant, one rule: turn right on white, turn left on black, flip the cell, step forward. For ten...SandpileDrop sand one grain at a time. When a cell reaches four, it topples — sending one grain to each...Reaction DiffusionTwo chemicals. One activates, one inhibits. Turing proposed this in 1952 as the mechanism behind...Double PendulumThe simplest mechanical system that produces chaos. Two rigid arms connected by frictionless joints...Op ArtGeometry as perceptual illusion. Pure line and repetition — no colour, no shading — yet the eye...Mandelbrot ExplorerThe boundary between bounded and unbounded — rendered. Zoom in anywhere along the edge and new...Fourier EpicyclesAny curve is a sum of rotating circles. Draw a shape, then watch it reconstructed from spinning...Chaotic ResonanceA strange attractor drives three oscillators. The x-axis sets pitch, y controls tremolo depth, z...Prisoner's DilemmaTwo players choose simultaneously: cooperate or defect. Mutual cooperation pays 3 each. Mutual...InterferencePoint sources emit circular waves. Where crests meet crests, the signal doubles. Where crests meet...PrimordialThree artificial life systems from different research lineages, sharing one ecosystem. Particle...CanopyDigital plants evolve to compete for light. Each organism has a genome encoding its branching...FluidIncompressible flow on a 2D grid. Pressure projection enforces the divergence-free constraint that...SeedEvery number contains a unique composition. The same seed always produces the same image —...