Ah, fractals... the video eventually zooms in so far that the entire expanse of the image you started with would now be larger than the known universe. (Kind of like powers of ten, but more purely mathematical, and so even "bigger"!) Pretty cool.
There's some fun discussion at Metafilter [hat-tip: Dillon] about how it is that anything could be larger than the entire universe. In response, one comment offered a nice analogy to highlight the merely virtual nature of the fractal space: "If you play Doom 3, the environment is larger than your house. How can that be when the computer is INSIDE your house?" Clearly, the universe can contain representations as of something bigger than the universe actually is, but the representations themselves -- bits in a computer -- have a more modest reality.
Is it our natural tendency to confuse the ontological status of representing and represented things that makes the fractal video so awe-inspiring? After all, in itself the sequence of images seems nothing all that special. But if you interpret them in such a way as to feel almost drawn into contradiction, and led to ponder the mysteries of the universe, that's something else entirely. Then again, perhaps the provided hint of incoherence plays no crucial role here -- it may be enough simply to vividly represent astronomical scales, and let the dwarfing effect run its own course. What do you think?