Wednesday

April 16, 2014

April 16, 2014

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

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

- MATLAB -
**MathMate**, Sunday, July 17, 2011 at 1:25pm

**Related Questions**

Programing - apparently I was skipped by accident 13.2 A quadratic Julia set has...

math - These numbers form an addition and subtraction fact family. 6, 7, 13 ...

Math - 3^2*3^3=3^5 7*0.1=7/10 5^2*5^3=5^5 3*0.1=3/10 13^2*13^3=13^5 4*0.1=4/10 ...

math - Please help me to find the first and third quartiles, Q1 and Q3, of the ...

Advanced Math - Can someone check these for me? Please? Use half-angle identity ...

Pre Cal. - 1. Use half-angle identity to find the exact value of cos165. MY ...

Basic math skills with geometry (6th ed.) - Place the following set of numbers ...

Math- - Find the prime factorization of the number, and write it in exponent ...

Need Help!! Algebra - I am having trouble in this class and need help with this ...

Computer Science - MATLAB - Thanks MathMate. Print plotting sounds awful O_O. ...