Fractals are shapes (2 or 3 dimensional) wherin each part of the shape resembles or recreates the whole.
Looking at the image to the left, you will see that each piece of the picture taken seperately resembles the whole.
The Fibonocci Series is, in a sense, fractal, as the patterns or geometry created by the series of numbers will be the same across infinite scales.
Like the Fibonocci series Fractals are found throughout nature - from patterns in the florets of broccoli, the patterns within lightening, to the clustering of stars and galaxies at the outer edges of the universe. Undoubtedly you've had that conversation with a stoner friend that conjectures atoms are really suns, their electrons are planets and if only we could build a microphone small enough we could possibly talk to them...
Horton hears a Who, anyone?
Fractals have what could be described as a self-symmetry across scale...
What are other, less noted, examples of fractals? Are there examples of fractals, for example, in Music? Could time in any sense be fractal?
What does this suggest about the nature of the universe?
And for more great images of fractals, check the Wiki.