Introduction The goal of this laboratory exercise is to use C+ to calculate membership in the Mandelbrot set for a given region in complex space, save the results to a file, and display the resulting image in MATLAB. The Mandelbrot set A point zo in the complex plane is considered a member of the Mandelbrot set if the magnitude of z to the recursive definition is finite according It has been shown that subsequent values for increase to infinite magnitudes if the magnitude of exceeds 2. The Mandelbrot set is technically a binary set where a point in the complex plane either belongs to the set or does not. However, color images can be created by recording the value of n required for the magnitude of i to exceed 2 for every zo of interest. All points in the Mandelbrot set can be found in the complex plane with real values between -1.5 and 0.5 and imaginary values between -1.2 and 1.2. The structure of the Mandelbrot set is an example of a fractal, ie. a geometric shape with similar recuring pattems on multiple size scales. Figure 1 illustrates this concept where the same shape continually appears after successively zooming in on the boundaries of the Mandelbrot set. Introduction The goal of this laboratory exercise is to use C+ to calculate membership in the Mandelbrot set for a given region in complex space, save the results to a file, and display the resulting image in MATLAB. The Mandelbrot set A point zo in the complex plane is considered a member of the Mandelbrot set if the magnitude of z to the recursive definition is finite according It has been shown that subsequent values for increase to infinite magnitudes if the magnitude of exceeds 2. The Mandelbrot set is technically a binary set where a point in the complex plane either belongs to the set or does not. However, color images can be created by recording the value of n required for the magnitude of i to exceed 2 for every zo of interest. All points in the Mandelbrot set can be found in the complex plane with real values between -1.5 and 0.5 and imaginary values between -1.2 and 1.2. The structure of the Mandelbrot set is an example of a fractal, ie. a geometric shape with similar recuring pattems on multiple size scales. Figure 1 illustrates this concept where the same shape continually appears after successively zooming in on the boundaries of the Mandelbrot set