Local similarity between the Mandelbrot set and Julia sets

Get acquainted with the phenomenon of local similarity in an interactive session with the Java applet Juliette below. Click the gray column to give it keyboard focus (do not click the images). Use the following commands or the buttons below:


Download Juliette. See the context menu for an overview of commands and keyboard shortcuts. Or read this introduction.

Mathematical explanation under construction ... See demo 7 of Mandel and the presentation from the workshop in complex dynamics, Søminestationen in Holbæk, October 2007.