Background
The Mandelbrot set is one of the most famous examples of a fractal in mathematics. It is defined by a simple iterative process on complex numbers, yet it exhibits intricate and infinitely detailed boundary patterns. Its discovery has not only advanced the field of mathematics but has also had a profound influence on art and computer graphics.
Tutorial
How to Use the Mandelbrot Explorer:
- Click (or tap on a touch screen) a point in the rendered fractal. The display will zoom in on that area, revealing more detail.
- Right-click (or two-finger tap on a touch screen) to zoom out and see a broader view of the fractal.
- Explore the color gradients, which are mapped to the number of iterations taken for a point to diverge. Areas of high complexity display vibrant colors.
- Zooming bottoms out around a trillion times magnification, the precision limit of the arithmetic; the viewer stops cleanly there instead of degrading into blocks.
Get Started
Ready to dive into infinity? Click the button below to launch the Mandelbrot Renderer.