Posted by **Lee** on Saturday, July 16, 2011 at 7:24pm.

13.2 A quadratic Julia set has the form

z(n+1)=z(n)^2+c

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.

I'm really confused by this question. Here's my attempt at a solution. I really hope someone can help me. My book did a very bad explaining the matter.

Code:

>> 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

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