Fractal Explorer
Zoom into the Mandelbrot and Julia sets — infinitely detailed structure born from one simple iteration, z → z² + c.
Fractal ExplorerLive
Mandelbrot & Julia sets · escape-time
Controls
Data Inspector
Setmandelbrot
Zoom1.0×
Iterations150
Governing equation
Reading this result: In Mandelbrot mode every pixel is a candidate c; a point counts as inside only if z stays bounded through all 150 iterations, so raising the cap sharpens the boundary filaments.
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How it works
Each pixel is colored by how quickly the iteration z → z² + c escapes to infinity (the escape-time algorithm). The Mandelbrot set maps the c-plane; the Julia set fixes c and maps the starting z-plane. Click to zoom into the fractal boundary, where structure repeats at every scale.
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Frequently asked questions
Is this fractal explorer tool really free?▾
Yes. Fractal Explorer runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
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Can I save or share my simulation?▾
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How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.