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I am preparing a display on fractal geometry for an event coming up on December 4th.  The person organizing this event has suggested that I make a display of not only fractal art but also an explanation of fractals as well.  Does anyone have anything they think should be included, anything that is definitely important to include?

I have, so far, covered how it was discovered, who discovered it [Mandelbrot], a basic explanation about iterative functions and self similarity, and some examples of its application in the real world.  It seems sort of thin though, what else should I include?

Unfortunately, I don't think the beer will go over very well, but I do like your other suggestion.

I will see what I can do.

Natural Fractals are quite impressive..specially in motion..so I recommend these two:
High Speed Lightning (7000frames/sec):
http://www.youtube.com/user/ztresearch#p/u/13/A0XkNfTyR9A

And the eruption of the Eyjafjallajökull volcano (check the second video):
http://www.mrietze.com/iceland10-2.htm

In the case that you didn't perceive the fractal: it's on the ashes cloud, since they break in a self similar way..
A good example image:
http://www.mrietze.com/images/Iceland10-2/Is102662.jpg

Wow, a lot of cool ideas!

@Millennium Nocturne I can't do videos because the exhibit center doesn't have a very good tv, nor do they have internet connection.

@Tglad I agree I am going to put together a composition of natural fractals which the public will be able to easily understand.

I'm looking forward to this, I hear there's going to be newspaper coverage.