You might like to try out Mandelbrot Maps. It allows real-time interactive exploration of the relationship between the Mandelbrot set and associated Julia sets.

You might like to try out Mandelbrot Maps. It allows real-time interactive exploration of the relationship between the Mandelbrot set and associated Julia sets. (There is a corresponding Julia set for each point on the Mandelbrot set, and some striking structural similarities.) Also, the images it produces are beautiful. :-) Disclaimer: I wrote the original version for my MSc project 7 years ago. Future students added further improvements in later years, including notably creating two Android apps. All versions are free and open source software. - https://play.google.com/store/apps/details?id=uk.ac.ed.inf.mandelbrotmaps https://play.google.com/store/apps/details?id=uk.ac.ed.inf.m... - Android app port, by Alasdair Corbett - https://play.google.com/store/apps/details?id=io.bunnies.fractalmaps https://play.google.com/store/apps/details?id=io.bunnies.fra... - Updated Android app (Fractal Maps), by Sky Welch - http://homepages.inf.ed.ac.uk/wadler/mandelbrot-maps/ http://homepages.inf.ed.ac.uk/wadler/mandelbrot-maps/ - Original Mandelbrot Maps (Java applet), by me - Wadler's blog: http://wadler.blogspot.co.uk/2015/04/fractal-maps.html http://wadler.blogspot.co.uk/2015/04/fractal-maps.html | http://wadler.blogspot.co.uk/2012/03/mandelbrot-and-julia-surprising.html http://wadler.blogspot.co.uk/2012/03/mandelbrot-and-julia-su... | http://wadler.blogspot.co.uk/2008/09/mandelbrot-maps.html http://wadler.blogspot.co.uk/2008/09/mandelbrot-maps.html