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) We will now change this parameter to a lower number to achive more symmetry. I have changed the "2" and the "7" to zeros in the Julia "Y" field. I often just change this whole field to zero, but sometimes will lower it incrementaly to achieve different results. This choice depends totally on the image and what I wish to achieve.
2) As you can see from this example there is a dramatic difference in symmetry. As with any fractal, this also has potential for further exploration before any changes, but for now we will proceed to the next step. Don't forget to save each image so that you can go back and explore them later!
3) Changing the X variable opens up a vast potential for new fractal forms from this one formula. Experiment with this variable. Often even a one number change to the left of the decimal will result in a totally different image!
As you can see here, I've changed the "1" in the "X" parameter to a "2".
4) This is the result. Quite a change from one number! Again you can see that this fractal also has more potential for exploration, so don't forget to save, save, save!
Disclaimer: I am not responsible for you filling up all your hard drive space with fractals! ;)