Sheet 03 — all projects

Sheet 03.4 — fig. 04

Mandelbro

Infinite fractal zoom in your browser

Screenshot of Mandelbro
Fig. 04 — Mandelbro

Mandelbro uses perturbation theory combined with arbitrary-precision arithmetic to break past the precision ceiling of standard double-precision floating point, enabling zooms beyond 10^50× — far deeper than the ~10^14× limit of typical viewers.

Rendering is spread across multiple Web Workers to use every available CPU core, with series approximation to skip early iterations, so the fractal regenerates in real time as you pan and zoom.

General notes

  1. Real-time rendering while panning and zooming
  2. Deep zoom past 10^50× via perturbation theory
  3. Seven color palettes (psychedelic, neon, fire, ice, ocean, and more)
  4. Shareable URLs that preserve exact view coordinates
  5. Preset deep-zoom destinations like Seahorse Valley and Elephant Valley
  6. Installable PWA with offline support
  7. Touch-native controls — pinch to zoom, drag to pan
[ Fractals ][ Web Workers ][ Perturbation theory ][ PWA ][ Open source ]