O.K. I don't have much experience with fractals, so.. I have a couple of questions.

#1) what is their use?!?!?!

#2) I saw one... and had a thought. take a equilateral triangle. That's your start. flip it upside down so that the points are sticking pot of the other triangle's sides. we'll pretend that you can't see any lines in the center of the picture. You have added some area. for each of the six little triangles, do the same thing. You have added less area. If you go forever, the triangles will be so small you can't see them. After a while though, there will be a huge amount of tiny triangles added each time. On what turn will the amount of area added each turn start to increase? We'll say that one side of the original triangle = 1 unit. How much area will there be? Is there a limit mathematically?