How does one plot this fractal?

The equations for the fractal are given in the first picture. Here is my code for plotting them. I am having trouble actually plotting them onto the graph. Also, let's say I wanted to plot multiple graphs of this fractal, as shown in the second picture. How would I do this with a single for loop? Any suggestions?

% test code to plot the first graph
x(1)=0;
y(1)=0;
for k=[1:250]
x(k+1)=(y(k)*(1+sin(0.7*x(k))))-1.2*sqrt(abs(x(k)));
y(k+1)=0.21-x(k);
end
subplot(2,2,1)
plot(x(k),y(k))
xlabel('x')
ylabel('y')
title('Fractal Plot with 250 points')

Answer 1

[Chad Greene]

For the two parts of your question:

1. When you call plot you're only plotting x(k),y(k), which is only the very last value. I think you want this:

plot(x,y,'.','markersize',8)

2. To use only one loop, run the loop for k=1:2500 or whatever your final value is. When you plot the first 250 results use:

plot(x(1:250),y(1:250),'.','markersize',8)

and change the range of x,y values to plot 1:1000 results or whatever range you want to plot.

[Karan Sandhu]

Thank you sir