0.6 0.4 0.2 A. 0.2 0.4 0.6 0.8 0.5 0.5 Matlab Deliverable 1: The Mandelbrot Set The Mandelbrot set is the most famous fractal in the world - images of the Mandelbrot set can be found everywhere, and it's likely that an image of the Mandelbrot set comes to mind when the word fractal comes up. Like most fractals, the Mandelbrot set is computed using a few very simple rules which can easily be programmed in Matlab. The fundamental rule of the Mandelbrot set can be stated mathematically as follows: where cis a complex number and = 0-The rule is a method for generating a series of numbers, where each number in the sequence depends upon the preceding number. For some values of c, the sequence converges, and for other values it "blows up". If a value of c results in a converging series, it is said to be part of the "Mandelbrot set". In the figure above, the values of e that are in the Mandelbrot set are plotted in gray, while those that are not are plotted in white. The real part ofc is plotted along the x axis and the imaginary part is plotted along the y axis. Tosee this rule in action, let us take a simple example: above. Following the rule gives 0+0, which is the point A in the figure 22 02 +0 z3 02 +00 etc