Fractal images are strikingly beautiful, bright, and complex and they're
everywhere these days - from art galleries to image compression to movie
graphics to environmental modelling (see Figure 1). It really is amazing to
see a concept from the dusty world of mathematics jump up and grab the
world's attention. Fractals and associated concepts came into being just at
the time that powerful computers became cheap and widely accessible, and this
is no coincidence. In the past it was widely assumed that complex phenomena
such as coastlines, trees, and mountain shapes could only be described by
complex and difficult mathematics, which could only be understood by a select
few.
This view has now been turned on its head and we can use simple equations to
generate immense complexity just like that seen in nature. We can generate
this complexity by using a computer to churn ... (more)