Let's get started! I'm going to assume you have already downloaded, and unzipped, the Tiera-Zon fractal program since this is what I will be using to create these fractals. If you have not yet downloaded that program you can download it from this page, or from Stephen's site. Open up the program by double clicking on the program icon within the folder where you unzipped the program.
1) To demonstrate that evn minute changes can result in dramatic differences, I will change the SECOND number to the RIGHT of the decimal point this time. The "2" has been changed to a "9" in this example. Again this is all within the Julia "X" field.
2) Another totally different fractal emerges simply by one minor change in the numerical sequence. You should now realize how vast the potential is to change our original fractal! And again, this is just from ONE formula!
I am NOT a mathematician, but I can figure out pretty quickly that there are a HUGE number of numberical combinations we can use to change ONE original image! On top of that, we have not even begun changing other factors, like the zooming process, filters, coloring algorithms etc.!
3) Now to the next step. Thus far we have only changed the numbers in the Julia fields, but we can also change the "operators". Notice in this image I have changed the "2" in the X field to a negative, "-2". (Minus sign) We can change that in both the X & Y parameter settings.
4) We now have one more variable that results in even more possible combinations to increase our potentail for discovering new fractals! This particular image is nothing to write home about, however, as you can see, this technique can be used on any fractal, and often will result in amazing new images!