Given IFS rules, the Deterministic Algorithm
renders a picture of the fractal by 
1. applying all the rules to any (compact) initial picture, 
2. then applying all the rules to the resulting picture, 
3. and continuing this process. 

Regardless of the starting shape, this sequence of pictures converges to a
unique limiting shape,
the only (compact) set invariant under simultaneous application of
all the rules. 
The Random Algorithm is another method of rendering the fractal
determined by a given set of rules, T_{1}, ..., T_{N}. In this section
we explore this method for producing fractals. 
