I have been making Fractals from quite a long time and I usually visualize Fractals by integrating them with nature.
Fractals are Abstract but when mixed with reality can put a strong visual story in any video, I had visualized an alien ship in Fractal form, traveling through the mountains while making of this video.
Mandlebulb 3D generated Fractal art, composited inside a video( I found on stock image site ) with the help of Adobe After Effects.