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Mathematical Simulations

Interactive visualizations of mathematical and physical phenomena

Lorenz Attractor

Explore the iconic butterfly attractor with accurate RK4 integration, adjustable parameters, live chaos metrics, and interactive 3D camera controls.

Chaos Dynamics 3D

Navier-Stokes Fluid Dynamics

Interactive 2D fluid simulation showcasing turbulence, vortices, and flow patterns. Click and drag to create forces in the fluid field.

Physics WebGL Real-time

The Gambler's Dilemma

Interactive exploration of risk strategies: one big bet vs many small bets. Features Monte Carlo simulations and mathematical proofs.

Probability Monte Carlo Risk Analysis

Laplace's Equation

Solve harmonic potential fields with fixed-potential conductors, live convergence diagnostics, equipotential contours, and electric-field arrows driven by an SOR relaxation solver.

Electrostatics PDEs Finite Difference

Monte Carlo Methods

Estimate π, integrals, and Black-Scholes option prices with live sampling, confidence intervals, and visuals that show where the variance comes from.

Statistics Probability Finance

Wave Equation

Strike a vibrating membrane, seed standing modes, and explore finite-difference wave propagation, damping, reflections, and stability limits.

Waves PDEs Oscillations