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 with interactive RK4 integration.
An interactive laboratory demonstrating how mechanical, electrical, quantum, acoustic, and biological 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 dissonance through algorithmic audio sonification.
A visual exploration of chaotic systems, demonstrating how microscopic changes in starting conditions cascade into divergent trajectories.
Interactive 3D simulation of rock-ice avalanches impacting glacial lakes, triggering moraine dam breaches and downstream flood surges.
Step through numerical solvers (Euler, Heun, and RK4) for ordinary differential equations with step-by-step calculations and error metrics.
Autonomous artificial life, genetic 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.
An expanded visual and sonic immersion into coupled harmonic oscillators and multi-frequency phase relationships.