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Projects

• Logistic Bifurcation

  Period doubling, chaos, and Feigenbaum’s universal constant.

• Chaotic Billiards

  Round the corners and order dies.

• Strange Attractors in 3D

  Deterministic equations drawing impossible geometry.

• Chirikov Standard Map

  Islands of order adrift in a sea of chaos.

• Watts–Strogatz Small World

  Rewire 1% and the world shrinks.

• Bootstrap Cascades

  Almost nothing ever happens. And then, everything.

• Barabási–Albert vs Erdős–Rényi

  Why the world has celebrities and random networks do not.

• Network SIR vs Well Mixed

  Same R₀, two completely different epidemics.

• Herd-Immunity Threshold

  The formula 1 − 1/R₀ is elegant. And incomplete.

• Iterated Prisoner’s Dilemma

  The tournament, evolution, and the noise that changes everything.

• Spatial Prisoner’s Dilemma

  Cooperation survives on geometry alone.

• Hawk and Dove

  Aggression has a price, and equilibrium knows it exactly.

• Colour Illusions

  Your eyes lie, and the eyedropper can prove it.

• White, Blue and Perlin Noise

  What looks random is not. And what is, does not look it.

• Benford’s Law

  1 leads 30% of the world’s numbers.

• Lens Ray Tracer

  Move the optics and discover why expensive cameras exist.

• Gravitational Lensing

  Mass bends space, and space bends light.

• Huygens Interference

  Place sources and watch wavefronts, diffraction, and interference emerge.

• Entropy and Huffman

  Type “aaaaaa” and watch information disappear.

• The Chaos Game

  Roll a die a million times and get a perfect triangle.

• Boids

  A flocking simulation where three local rules create coordinated motion.

• Continuous Lenia

  A liquid cellular automaton where continuous fields grow, travel and collapse.

• Physarum

  Slime-mold agents lay trails and self-organize into living-looking transport networks.

• Double Pendulum Chaos

  A tiny change in initial conditions becomes a completely different pendulum path.

• Langton's Ant

  A two-rule ant wanders randomly until a highway suddenly appears.

• Schelling Segregation

  Small preferences at the agent level can create large-scale segregation.

• Nagel-Schreckenberg Traffic

  Traffic jams appear from simple acceleration, braking and random slowdown rules.

• Mandelbrot / Julia Coupler

  Move through the Mandelbrot set and watch the matching Julia set update.

• Diffusion-Limited Aggregation

  Random walkers stick to a seed and grow branching, lightning-like clusters.

• Galton Board

  Falling balls build a bell curve, unless memory breaks the central limit theorem.

• Lissajous Harmonograph

  Coupled oscillations draw Lissajous curves and slowly decaying harmonograph patterns.

• Percolation

  Open enough cells and a path suddenly spans the whole system.

• Kuramoto Synchronization

  Many oscillators with different rhythms lock together when coupling becomes strong enough.

• Pi Collisions

  Count elastic collisions between blocks and a wall to reveal digits of pi.

• Brachistochrone

  The fastest slide between two points is not a straight line.

• Wave Function Collapse

  A constraint solver grows coherent tile patterns from local compatibility rules.

• Pathfinding Comparator

  Compare search algorithms as they explore the same maze.

• Sonified Sorting

  Sorting algorithms become bars, swaps and sound.

• Predator Evolution Boids

  Flocking agents face predators, selection pressure and evolving behavior.

• Reaction-Diffusion

  Two chemicals diffuse, react, and paint stripes, spots and mazes — the same math Turing used for animal patterns.

• InterferQuant

  An interactive double-slit experiment: watch interference build up one particle at a time.

• Quantum Lab

  Ten interactive quantum-mechanics experiments, built one photon at a time.

• The Genetic Traveler

  A genetic algorithm hunts for the shortest route through your cities.

• Society Simulator

  Tiny circles build a society and somehow invent inequality.