Loved the discussion of distance estimator formulae. As I recall them, to derive one of the results in The Science of Fractal Images you'd need to use Koebe's 1

Loved the discussion of distance estimator formulae. As I recall them, to derive one of the results in The Science of Fractal Images you'd need to use Koebe's 1/4th theorem applied to the potential function (or a related function which is analytic) and thus you'd solve the factor problem. It's a little hazy, since I did this 6 years ago, since then I've only worked with entire transcendental functions where potentials are harder to come by. A useful approach then is to use a bifurcation loci approximation result (like this thing I worked on for a while: http://www.maia.ub.es/~ruben/docs/20110531Centres.pdf http://www.maia.ub.es/~ruben/docs/20110531Centres.pdf The paper with the result kind of entered a limbo while I finished my PhD... and is still there (after all it is just like 8 pages long) PS: Why orange? Just to avoid using the "standard blue" used in most Beamer slides :D It doesn't look as offensive in a projector as in a screen, too.