Newton-Raphson Fractal Simulator
Interactive visualization of Newton-Raphson iteration, basins of attraction, fractal boundaries, and chaotic dynamics.
Every simulation is built with pure mathematical rigor and client-side web technologies (WebGL, Three.js, Canvas2D, and Web Audio). Select any simulator below to launch its dedicated environment.
Interactive visualization of Newton-Raphson iteration, basins of attraction, fractal boundaries, and chaotic dynamics.
Explore vector fields, nullclines, equilibria, stability, trajectories, and phase portraits.
Interactive physics laboratory demonstrating how mechanical, electrical, quantum, acoustic, biological, and economic systems share the exact same differential equation.
Coupled electrostatics, Townsend avalanches, space charge dead time dynamics, oscilloscope pulse waveforms, and voltage plateau characteristics.
Hear the logistic map, Lorenz and Rössler attractors become rhythm, melody, timbre, and harmonic tension through real-time algorithmic audio sonification.
Visual WebGL exploration of chaotic systems, demonstrating how microscopic changes in starting conditions cascade into divergent trajectories and destinies.
Interactive 3D simulation of rock-ice avalanches, moraine dam breach mechanics, fluid surge wave propagation, and downstream valley flooding.
Step through numerical solvers (Euler, Heun, RK4) for ordinary differential equations with side-by-side error metrics and phase drift.
Autonomous artificial life, genetic mutation inheritance, Craig Reynolds flocking boids, sinusoidal spine leviathans, and real-time synthesized soundscapes.
Immersive 3D cosmos with volumetric stardust, 3D leviathans, emergent flocking boids, N-body orbital mechanics, and spatial soundscapes.
Higher-dimensional stereographic projections of Riemannian hypercubes, Hopf fibrations, Schwarzschild event horizon geodesics, and metric sonification.
Interactive transcendence visualizer for universal harmonic systems and coupled oscillators.