Mind & Perception
How we think, see, and deceive ourselves — cognitive science meets visual trickery
Pure Mathematics
The visual language of mathematics — from curves and tilings to topology and number theory
Parametric Wonderland
Spirographs, rose curves, superformula, harmonographs, Fourier drawing machines
Non-Euclidean Geometry
Where parallel lines meet: hyperbolic tessellations, spherical triangles, Klein bottles
Knot Theory & Topology
Trefoils, braids, Borromean rings, Hopf fibrations, Celtic knots, DNA topology
Aperiodic Tilings
Patterns that never repeat: Penrose tilings, the Hat monotile, quasicrystals
Mathematical Billiards
Circular caustics, stadium chaos, Sinai billiards, phase space, illumination
Ulam Spirals
Prime number visualizations: classic spiral, twin primes, Sophie Germain, 3D helix
Physics & Optics
Quantum mechanics and the strange behavior of light
Social Science & Game Theory
Strategic decision-making, social dynamics, and the mathematics of democracy
Game Theory
Prisoner's dilemma, Nash equilibrium, evolutionary strategies
Social Dynamics
Opinion formation, polarization, echo chambers, revolutions
Voting Theory
Mathematics of democracy: Arrow's theorem, gerrymandering, ranked choice, Condorcet paradox
Network Dynamics
Graph algorithms, cascades, community detection, and spreading
Natural Science
Earth processes, biological development, and nature's mathematical patterns
Information & Computing
Algorithms, neural networks, and the theory of information itself
Sorting Algorithm Theater
The art of ordering chaos: bubble, merge, quick, heap, radix, bogosort, and a race
Optimization Algorithms
Gradient descent, genetic algorithms, swarm intelligence
Information Theory
Entropy, compression, error correction, coding
Neural Network Playgrounds
Interactive ML visualizations: perceptrons, gradient descent, CNNs, attention
Observer Theory Playground
Navigate Wolfram's Ruliad and see how different observers construct different realities
Collections & Paradoxes
Cross-disciplinary collections that defy categorization
Surprising Paradoxes
172 interactive essays — Trolley Problem, Utility Monster, Roko's Basilisk, and more
Probability Paradoxes
When intuition fails: Monty Hall, birthday paradox, Simpson's paradox, Benford's law
Collective Intelligence
When dumb agents get smart: ant colonies, swarm robotics, firefly sync, wisdom of crowds
Time & Clocks
Synchronization, oscillators, circadian rhythms