Fractals

Fractals are images that have multiple copies of the original images in it, and those tiny copies have even smaller copies of it in it, and goes on until infinitively small. The Mandelbrot set is a famous example of a fractal. However, my math skills aren't enough to understand them, so I cannot show a demo of it - not yet.

Today, I'm going to show you a fractal called the "dragon." fractal. It is tillable, makes it very special, and it is made entirely out of straight lines filling the space.

Click here to see the flash demo

It's a pretty neat fractal, and its basis is very simple. First, take a strip of paper, then, fold it in half horizontally. Do that 5+ times, and then open it. Make sure every angle is a right angle (90 decrees). Now you should see the dragon slowly forming. What's that based on? Well, here's the pattern (R = clockwise, L = counter-clockwise):
level0: R
level1: RRL
level2: RRLRRLL
level3: RRLRRLLRRRLLRLL
level4: RRLRRLLRRRLLRLLRRRLRRLLLRRLLRLL
...... and so on, adding alternating R and L between each element.
Then, just draw lines turning clockwise if it is a R, and counter-clockwise if it is a L.
like this:
--
|
--
|
--
|
--
...... this continues