Take a complex number c. Repeatedly compute z → z² + c, starting from z = 0. The set of c for which z stays bounded is the Mandelbrot set.
Its boundary is infinitely detailed — fractal. Zoom in forever, and new structure keeps appearing.
Take a complex number c. Repeatedly compute z → z² + c, starting from z = 0. The set of c for which z stays bounded is the Mandelbrot set.
Its boundary is infinitely detailed — fractal. Zoom in forever, and new structure keeps appearing.