This probably needs a reference to the Magic Mirror? I think there are some good descriptions of Smaller and Smaller and Fish and Scales in there.
I wasn't sure if there should be more about the MAndelbrot set and Julia sets. I don't really teach it, but it might be a fun road to explore?
--Barta 14:24, 26 September 2007 (CDT)
I just did a bunch of stuff to this page. Reorganized into three well defined sections, although the fractals section blurs into the fractal dimension section a bit. This is now a pretty hard section, in that it's got the Mandelbrot set defined via iterations and the fractal dimension is unavoidable. Honestly, I don't think either of us really covers this material in Math 124 due to time constraints, but I wanted to put the page on solid ground.
Still a few things I'm not thrilled with:
- The bit about fractals in art and nature could be better written, longer, and most importantly have a more solid basis in fact (i.e. references to academic papers).
- The argument deriving the fractal dimension formula isn't easy to follow - I thought about making a table, but got fed up and just wanted to finish.
- We could use another example of fractal dimension.
All in all, though, I'm happy enough with the current state to move on to other things. Bryan 02:14, 12 March 2009 (CDT)