The Sierpinski triangle can be implemented in MATLAB by plotting points iteratively according to one of the following three rules that are selected randomly with equal probability. Rule 1: x_n + 1 = 0.5x_n, y_n + 1 = 0.5y_n Rule2: x_n + 1 = 0.5x_n + 0.25, y_n + 1 = 0.5y_n+|( 3)/4 Rule 3: x_n + 1, = 0.5x_n + 0.5, y_n + 1 = 0.5y_n Write a program in a script file that calculates the x and y vectors and then plots y versus x as individual points (use plot (x, y, )). Start with x1 = 0 and y1 = 0. Run the program four times with 10, 100, 1,000, and 10,000 iterations.