Another square fractals that I stumbled onto is this strikingly castle-like one. The top image is created by tiling, which resemble Persian carpet.
Can you figure out how I did it? It is quite easy when you look at the corner of the fractal for clue.
If you want to have a better understanding of the concept, check out MathWorld's Fractals you will be surprised to find that many mathematicians were already thinking about it nearly a century ago.
There is no doubt that there are still a lot of fractals waiting to be invented or discovered, even from young students, because the concept is quite easy enough to be grasped by anyone with elementary geometry.
