Mandelbrot Set drawn by a Turing Machine
Abstract the Mandelbrot set is the set of values of c in the complex plane for which the orbit of 0 under iteration of the complex quadratic polynomial z_(n+1)=z_n^2+c remains bounded. That is, a complex number c is part of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded however large n gets. Screenshots The Turing Machine runs around the Mandelbrot Set The Mandelbrot Set completed a click into the Mandelbrot Set draws the Julia Set a click into the Mandelbrot Set draws the Julia Set Running the Java Application git clone https://github.com/phasenraum2010/mandelbrot.git cd mandelbrot mvn clean install exec:java or Download the jar and double click on it to start the Application: http://www.thomas-woehlke.de/a/mandelbrot/mandelbrot-1.1-SNAPSHOT.jar Running the JavaScript Application goto: http://woehlke.org/html5-lab/mandelbrot/ The Turing Machine to ...
