the Mandelbrot set

Explore the fascinating world of fractals - infinite mathematical patterns that exhibit self-similarity at every scale.

Scroll down to experience an interactive visualization.

what is a fractal?

A fractal is a geometric shape that can be split into parts, each of which is a reduced-size copy of the whole.

Natural fractals include coastlines, snowflakes, and mountain ranges.

The Mandelbrot set is defined by:
z = z² + c

interactive exploration

As you scroll through this page, the animation evolves to reveal different views of the Mandelbrot set.

Scroll slowly to appreciate the infinite complexity.

technical details

This visualization uses canvas rendering for real-time performance.

The animation responds to your scroll position.

You can also click and drag to pan around the fractal landscape.