On my way to geek martyrdom (PhD viva approaching) I'm finding myself becoming increasingly interested in fractal functions.
Here's my first attempt at coding a fractal in Matlab, which was done on my lunchbreak today.
It's based on a tiny part of the Mandelbrot set, which I've still not fully read into yet (I'm impatient!).
Here's the code, I told you it was simple! So simple in fact that it..soon...becomes.....pretty..........slow.............
clc % clear command window
clf % clear figure
z_old = 0-0i; % Some random value to initialise z_old
for (seed = 0.01:0.005:0.2) % For all these values
disp(seed) % Display seed (not the right term)
z0 = -seed - 0.54i; % The juicy bit
z = 0; % Start here
rndclr=[rand, rand, rand]; % random line colour
for (i = 1:1:50) % number of iterations per seed
z = z^2 + z0; % iteration for the nation
hold on % don't delete old lines
title(i) % display iteration
plot(z,'.','color',[0,0.1,0]); % draw a point
if (i>1) % if point has a predecessor, connect them together
z_old = z; % Store last point