MATLAB
posted by Lee .
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 zvalues 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
 MATLAB  MathMate
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