[MATLAB CODING]

The following fractal image is called "basin of attraction". Write the code to draw this picture, Submit with results. Here's how to draw a picture.

step1. . [1, 1][1, 1] Divide the area into equally spaced rectangles and use the center of each rectangle as the initial value of the Newton method.st

step2. For this initial value, z If we obtain the approximate roots of z^4 -1 = 0= 0 by the Newton method, we will converge to one of the four roots. (4 roots: 1, -1, i, -i) Whether the convergence exceeds the maximum number of iterations (eg, 10) or | zn + 1 - zn | If

step3. Set one color for each root, and fill the rectangle with the fixed color according to the converging root(use fill function

figure. 200 square pixels for horizontal and vertical, 40,000 squares

0.8 0.6 0.4 0.2 0.2 -0.4 -0.6 0.8 -1 1 0.8 0.6 -0.40.2 0 02 0.4 0601 0.8 0.6 0.4 0.2 0.2 -0.4 -0.6 0.8 -1 1 0.8 0.6 -0.40.2 0 02 0.4 0601