An IFS plant
If we apply the transformations from the previous example to a single point and connect those points that are mapped onto one another using one of the fundamental transformations, we get the following picture: The plant-like structures generated in this way are used in computer graphics to generate plant-like shapes for images or movies. It is remarkable that a limit set generated as an IFS contains many contracted copies of itself. These in turn again contain contracted contracted copies -- and so on. This tends to give the limit set a very filigree fractal structure. We'll see more examples for this later on.Download file:
A little foretaste
Contents 
How an IFS is created 