“It is an approximation of the locus of connectedness for the Julia sets of the family of functions f(z) = z^2 + lambda/(z^2) (rotated by pi/2). This is analogous to the standard Mandelbrot set (which ...

These images are of the 'Mandelbrot' sets for polynomials z d + c for various d (for d=2 we have the Mandelbrot set). These images were drawn with the XAOS software. This software will also compute ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American Ah, the Mandelbrot set. This famous fractal ...