| The Curry-Garnett-Sullivan experiment showed the Mandelbrot set appears in the parameter space of a rational function (the Newton function for their cubic polynomials), as well as in the parameter space of the familiar quadratic dunction. Is this a remarkable coincidence? |
| This is the first glimpse of the theory of quadratic-like maps of Douady and Hubbard. In a small enough region, many functions look much like polynomials. |
| Remarkably, the Mandelbrot set arises in many, many families of functions. |
| McMullen showed that for a large collection of functions, wherever the bifurcations accumulate there is a copy of the Mandelbrot set or one of its generalizations. |
| We just didn't know how to look for them until recently. What other surprises remain? |
Return to Universality of the Mandelbrot set.