Fractal artist Aexion (Ramiro Pérez Clare Nash, who also developed both the Incendia and Aural fractal programs) has a free fractal wallpaper generator he calls random background generator on his website.
To download the fractal you have created, click “generate wallpaper”). This opens a view of the fractal that you can download by right-clicking your mouse and selecting download.
The images have a satisfactory resolution. Moreover, you can use them as is a style as is, modify them in an image editing program, or feed them into a collage.
Making fractals has never been as easy!