Look at this
animated JPG of a dancer.
Is she twirling clockwise (CW) or counterclockwise (CCW)? What if you stare at her extended leg and blink -- does she switch?
Apparently, if she's twirling CCW for you, then you are using the left (verbal/logical) side of your brain to process the image; if she's twirling CW, then you're using the right (visual/creative) side.
No matter how hard I tried, I couldn't make her spin anything but CCW.
ETA:
jenny_moss has wisely pointed out
this article which explains that the left/right brain stuff is rubbish and that this is simply an optical illusion.