Rotate the impossible tribar to its magic viewpoint, explore Escher's endless staircase, and watch an aperiodic Penrose tiling inflate toward the golden ratio — the cognitive geometry of figures that are locally consistent but globally contradictory.

Math

Arnold's Cat Map — Chaotic Area-Preserving Map

Interactive Arnold Cat Map visualization: (x', y') = ((x+y) mod N, (x+2y) mod N). Iterations scramble the image, but after exactly K steps it restores perfectly — chaos with hidden order.

Math

Hilbert Curve Explorer

Explore the fractal space-filling Hilbert curve with adjustable order, color-coded traversal, and coordinate mapping

Math

Wavelet Synthesizer

Select mother wavelets, adjust scale and shift parameters, superimpose wavelet components, and observe time-domain waveforms and time-frequency localization in real time

Math

Hardy-Weinberg Equilibrium

Explore how selection, mutation, migration, and drift shift allele and genotype frequencies

Math

Central Limit Theorem Visualizer

Watch sample means converge to a normal distribution regardless of the population shape

Math

SIR Epidemic Model

Interactive SIR compartmental model — ODE solver with R₀, phase portrait, and real-time S/I/R curves

Math

Lévy Flight & Anomalous Diffusion

Heavy-tailed random walks, α-stable distributions, and super-diffusive scaling — explore non-Gaussian random processes that govern animal foraging, financial returns, and turbulent transport

Math

Wave Interference — Multi-Source Spatial Patterns

Interactive 2D multi-source wave interference visualization: drag sources to observe constructive and destructive patterns

Math

Lattice Traffic Automaton — NaSch Jams & Fundamental Diagrams

Interactive Nagel-Schreckenberg traffic cellular automaton: from local car-following and random slowdowns to flow-density curves and jam waves