Fractint allows you to create "formula" files (.frm) that will essentially allow you to "roll your own" fractals. Some of these are really cool. It's amazing the difference you get from small changes to how the picture is calculated. A calculation using a sine rather than cosine of a variable can have a huge impact in the design.
Most of the file names you see on these pictures is related to the name of the formula as you would see it displayed in the selection menus. On some of them, I zoomed in a bit to a portion of the picture to bring out more detail. Those will have 'mag1' or 'mag2' etc appended to the name.