Mandelbrot Set Explorer
Free online Mandelbrot set explorer. Zoom infinitely into the famous fractal, pan the complex plane, switch color palettes, and export high-resolution PNG images. Smooth coloring, adjustable iteration depth, and famous locations like Seahorse Valley. 100% client-side.
Loading tool...
What is Mandelbrot Set Explorer?
The Mandelbrot Set Explorer is an interactive tool that renders the Mandelbrot fractal directly in your browser. Using the escape-time algorithm, it colors each point in the complex plane according to how quickly the sequence z = z squared plus c escapes to infinity. The result is an infinitely zoomable image where spirals, seahorses, and miniature copies of the whole set appear at every scale.
Key Benefits
- Infinite zoom reveals endless self-similar detail at the boundary
- Five color palettes and smooth coloring produce striking visuals
- Adjustable iteration depth keeps the fractal crisp at deep zoom levels
- Famous-location presets jump straight to the most beautiful spots
- Everything runs locally in your browser, no upload or server needed
Common Use Cases
- •Teaching complex numbers, iteration, and chaos theory
- •Generating fractal artwork and desktop wallpapers
- •Exploring the connection between simple rules and complex patterns
- •Stress-testing browser rendering performance with heavy computation
- •Discovering and sharing beautiful zoom coordinates with friends
How to Use the Mandelbrot Set Explorer
- Pick a color palette and iteration depth: Choose from Fire, Ocean, Psychedelic, Grayscale, or Electric, then drag the Max Iterations slider to balance detail and speed.
- Navigate by clicking: Click any point to zoom in 2x centered on it. Hold Shift and click to zoom out, or use the Zoom In/Out buttons for center zoom.
- Jump to a famous location: Use the Famous Locations buttons to instantly visit Seahorse Valley, Elephant Valley, a Mini-Mandelbrot, or a lightning spiral.
- Inspect and export: Toggle Show coordinates to read the complex value under the cursor. Click Download PNG to save the current fractal image.
Key Features
- Infinite zoom with click-to-center navigation and smooth, continuous coloring
- Five built-in palettes (Fire, Ocean, Psychedelic, Grayscale, Electric)
- Adjustable iteration depth from 32 to 1024 for sharp detail at deep zoom
- Live coordinate readout showing real, imaginary, and escape-iteration values
- Jump to famous locations: Seahorse Valley, Elephant Valley, Mini-Mandelbrot
- Export the current view as a high-resolution PNG image