6. Possible extensions

Many extensions are possible in this approach.

• You can extend the method to 3D or even 4D,etc.
• A second extension, is in the possibility to represent the formula with something different from Julia set: for example you can represent directly the points generated in the iteration.
• Another interesting possibility is connected to the fact that the formulas implemented may represent the physical law obeyed by some physical system. Now, let's suppose that we have studied experimentally a physical system, creating an "image" similar to the Julia set and representing the global behaviour of the system. We can now start exploring the fractal formulas and instead of using an aesthetic judgment for selection we can use the "similarity" with the experimental image. In this way we can try the synthesis of the algorithm behind the original phenomena.