Two things which I find incredibly fascinating are fractals and Klein Bottles. This is to be my little mathmatical archive, consisting primarily of (surprise, surprise) fractals and Klein Bottles.
So here's that fantabulous Klein Bottle, in its full glory:
Klein Bottles are closely related to M�bius strips, which are bands of paper with only one edge. Find out how to create a M�bius strip. The Klein bottle has only one surface. It contains one closed, continuous curve of self-intersection, where the neck meets the bottle. To make a Klein Bottle, you can either join opposite ends of a cylinder with a twist, or attatch two M�bius bands along their edges.
To see succesive rotations of the Klein Bottle, go here.
Now on to my second passion: Fractals!!
I'm afraid I don't actually know a whole lot about fractals, I just think they're absolutely
beautiful!
So therefore, this will mainly be a little fractal gallery with as good of an explanation as I can muster. Just to get you hooked, here's one of my favorite fractals... (Do you notice a similarity to the background? That's the same fractal, just with different colours)
