Fractals: Computing the Mandelbrot Set with a Turing Machine

Blog: http://thomas-woehlke.blogspot.de/2016/01/mandelbrot-set-drawn-by-turing-machine.html

Github Repository: https://github.com/phasenraum2010/mandelbrot

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.

Source: https://en.wikipedia.org/wiki/Mandelbrot_set

Run the Desktop Application

git clone https://github.com/phasenraum2010/mandelbrot.git

cd mandelbrot

mvn clean install exec:java

Screen

Screen 1

Figure Moving around the Mandelbrot Set

Screen 2

Figure Moving around the Mandelbrot Set

Screen 3

Figure Done

Julia Set

Julia Set 1

Figure Julia Set

Julia Set 2

Figure Julia Set

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