What is the algorithme ?

In order to solve and trace the King's dream fractal, I wrote a short program with MATLAB.

There are 3 parts :

- First,
I initialize all the constants (a, b, c ,d) and the parameters (n, Xo,
Yo).

- Then I make a loop on the time which lasts n times.

- Finally a green graphical ouput is made.

What is the MATLAB file ?

The MATLAB file is the following one.

**clear**
**close all**

**% constants**
**a=-0.966918;**
**b=2.879879;**
**c=0.765145;**
**d=0.744728;**
**n=3000;**
**x(1)=1;**
**y(1)=1;**

**% compute of x and y**
**for i=2:n**
** x(i)=sin(y(i-1)*b)+c*sin(x(i-1)*b);**
** y(i)=sin(x(i-1)*a)+d*sin(y(i-1)*a);**
**end**

**% graphical output**
**plot(x,y,'g.')**