You plug in values of x and get values of f(x) {or y}.

But a fractal equation takes the form of using f(x) AS the value of (x) in the
equation, somewhat like

f(x) = 3f(x)(2) + 5f(x) + 7

See? So that every following f(x) is based on the previous value of f(x).
Where does it all start? A fractal equation has what is referred to as a 'seed
value', like a seed for a crystal solution. This is the initial value of (x)
that is used to generate the first f(x). There are cheaply available software
programs that generate a wide array of fractals and you don't need that much pc
boost to get them going. I have one or two here at home.

As has been mentioned, fractals have been found to be able to represent
occurrences in nature, such as the flight of birds in a flock, of animals in a
herd, or the growth of a trees branches and leaves, which are not random but
follow complex patterns.

Lawrence A. Parker
Philosopher and Educational Consultant