I mostly see it as clockwise but can reverse it if I think about. I think this 'indicates' I'm right-brain dominant. I've tried it on a couple of friends and one, who is more often left-brained in terms of the functions listed in the article, saw the figure moving counter-clockwise. Take the Right Brain vs Left Brain test and be sure to scroll down and read the comments section.
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How do you see the twirling figure?