Yet again, there are no gifs here. Moving your eyes around the image will make it seem like the spirals are moving, however, focus on the one in the middle and everything will relax.
Strange, right? Not only is our brain imagining movement while your eyes dart around, once you relax and stare at the image this effect is no longer visible. You may also notice that the centers of the spirals appear to glow when you focus on the guy in the middle!