I welcome any chance to publish photos or graphics online, so thanks to Persona Paper for providing an attractive platform for me to show some fractal images. Fractal images are complex computer-generated graphic designs. There are two ways to learn how to make fractal images. One way is to take a college level mathematics course plus some advanced computer coding for a couple of years; the other way is simply to download a free fractal generator and you can be making them in minutes. I know which way I prefer.
There are several free fractal generators available for download; there are also paid ones if you're really serious about it.
Free ones include Sterling2, Incendia and Apophysis. Sterling2 is the one I recommend for easiest use, and is the program that I made these fractals with. I might provide a link to Sterling2 as soon as I find about the rules concerning placings links, here. Meanwhile, just Google it, if you're interested in making some easy fractals.
Note* Fellow member, CS McLellan, tells me that these fractal generators are only for Windows - and Fractal says that Fractint is one for the MAC. Thanks both for the helpful comments.
POST-PROCESSING IN A PHOTO EDITOR
The final look of the fractal depends on the settings you choose in the fractal generator. To make your image more unique and personal, and not just the result of pre-set mathematical calculations, you should save the image as a .jpg file, open it in a photo editor such as the free 'open source' editor, GIMP, and make some 'artistic' changes, that make the image your very own creation. Keep in mind, though, that once it's in .jpg form, it's no longer a fractal - You can't manipulate it like you could when it was in the fractal generator. Use the fractal generator for the structure of the fractal; use the photo editor for altering such things as: colour, size, dimensions, contrast, brightness and whatever else your photo editor offers.
You can also tile the image with multiple copies. They will join seamlessly and make good digital wallpaper.
Sterling2 fractal generator is quite straightforward to use. You get a default image to start with and all you need to do is choose formulas at random until you get an interesting image to explore with the zoom control. The default size of image is too small, though. Choose 800x600 for a good size of image to work with. Choose higher than that for greater resolution, but keep in mind that a large size will take a couple of minutes to render on the screen every time you make a change. It's best to work with 800X600 and then upsize when you've finished.
Image Credit » chasmac (me)