$ OCaml Mandelbrot Set
An interactive Mandelbrot set explorer written in OCaml using the Graphics library. The Mandelbrot set is the set of complex numbers c for which the iteration z = z² + c (starting from z = 0) remains bounded.
Points inside the set are colored black; points outside are colored based on how many iterations it takes to escape, producing the characteristic fractal boundary with infinite complexity at every scale.
### features
- - Interactive Zoom - Click to zoom in 2x centered on cursor, or use +/- keys
- - Pan Navigation - Use arrow keys or vim-style (h/j/k/l) to pan around
- - Smooth Rendering - Real-time rendering with escape-time algorithm
- - Color Gradients - Points outside the set colored by iteration count
- - Reset View - Return to the original coordinates with 'r' key
### controls
Click - Zoom in 2x at cursor position + / = - Zoom in 2x at cursor position - - Zoom out 2x at cursor position h / a / ← - Pan left l / d / → - Pan right j / s / ↓ - Pan down k / w / ↑ - Pan up r - Reset to original view q / Esc - Quit ### build & run
prerequisites
opam install . --deps-only build
dune build run
dune exec mandelbrot ### learn more
Explore the mathematics behind the Mandelbrot set and browse the source code.