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?

This shape that arises is a fractal because it shows self-similarity. Since it fills the plane its dimension is 2. It is actually a well known shape called the Dragon Curve.

Posted by K Sengupta on 2023-08-07 23:58:36