A fractal is a curve or geometric figure, each part of which has the same statistical character as the whole. Fractals are useful in modeling structures (such as eroded coastlines or snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth, fluid turbulence, and gal axy formation. Devaney (1990) has written a nice little book that includes a simple algorithm to create an interesting fractal pattern. Here is a step-by-step description of this algorithm Step: Assign value to m and n and set hold on Step 2: Start a for loop to iterate over ii- 1:100000 Step 3: Compute a random number, q 3*rand (1) Step 4: If the value of q is less than 1 go to Step 5. Otherwise Step 5: Compute new values for mm/2 and n n/2 and Step 6: If the value of q is less than 2 go to Step 7. Otherwise Step 7: Compute new values for mm/2 and n(300 + Step 8: Compute new values for m(300 m)/2 and n - Step 9: If i is less than 1000 then go to Step 10. Otherwise, go to Step 6 then go to Step 9. go to Step 8 n)/2, and then go to Step 9 (300 n)/2. go to Step 1 Step 10: Plot a point at the coordinate, (m,n). Step 11: Terminate ii loop Step 12: Set hold off. Develop a MATLAB script for this algorithm using for and if structures. Run it for the following two cases (a) m-2 and n 1 and (b) m 100 and n200