Fold a strip of paper in half two times and unfold. Put the strip on its side and adjust each angle to 90 degrees. It will look something like this:

___   
   |  |
   |__|

If you could fold the paper in half an infinite number of times and adjust every angle to 90 degrees what appears to be a fractal would be formed.

Is it a fractal? If so, what is its fractal dimension?

I was playing in paint, trying to make a couple of iterations of this fractal, when I thought of how familiar this fractal looked.  See someone I know, has been reading Jurassic Park, and there were pictures of this fractal in it.  So I googled up Jurassic Park Fractal, and it turns out that that's what it's called. link

The link doesn't tell me what the fractal dimension of this fractal is, but it does tell me the definition of a fractal dimension.  I'm not sure I understand the definition well enough to apply it here

Posted by Tristan on 2006-08-11 02:30:49