13.2 A quadratic Julia set has the form
The special case where c=-.123+.745i is called Douday's rabbit fractal. Follow example 13.1, and create an image using this value of c. For the Madelbrot image, we started with all z-values equal to 0. You'll need to start with z=x+yi. Let both x and y vary from -1.5 to 1.5.
The Attempt at a Solution
I'm really confused by this question. Here's my attempt at a solution. I really hope someone can point me in the right direction. My book did a very bad explaining the matter.
>> iterations=80; grid_size=500; [x,y]=meshgrid(linspace(-1.5,1.5,grid_size),linspace(-1.5,1.5,grid_size)); c=-.123+.745*i; z=x+y*i; map=x+y*i; for k=1:iterations z=z.^2+c; a=find(abs(z)>sqrt(5)); map(a)=k; end figure(1) image(map) colormap(jet) ??? Error using ==> image Error using ==> image Image CData can not be complex