Of course one wonders if the males observing the figure have trouble moving their gaze to the feet....
Besides looking at the feet, another way to easily switch directional spin is to look to the far left of the page (or right) and let your peripheral vision do the change. At times I could have her going back and forth and not actually spin around.
This isn't a matter of being right or left brained as there is really no such thing. The brain may be specialized in its activity in various areas but you aren't one or the other. Both sides of the brain have the capability of performing the activities ascribed to the other side, it's just that one tends to be more involved in either details or in the global view. Often brain injuries to one side show a marked diminution of some abilities but with training the 'other side' can learn to adapt. Then there are people who have lost a limb and are able to train the other arm to do the work of the missing part.
I did my Master's thesis on left-handedness and the educational system so I spent a lot of time reading on this subject, though a lot has been done in the 20 plus years since. What is most important to remember is the connection between the two halves (corpus callosum) that allows for the communication between the 'specialized' cortexes. It is the ability to make the information from both sides work together that gives one an advantage in a mulitfunctional society. Those who are heavily concentrated in activities attributed to one side or the other may fall more into the advanced category of the profession in which they work. Specialty focus can lead to in depth study and important discoveries.
But blending both has given us people like Leonardo da Vinci who had artistic and mathematical capabilities galore.
My favorite story to tell my students was about Samuel Morse. They all knew him as the inventor of the Morse code and the telegraph. But that is not quite the whole story. In fact S.F.B. Morse was a rather well know painter who also had a mechanical/mathematical mind. He used information he gleaned from others working on the telegraph to visualize how a proper keying system would work. He put it all together, made it work and got the credit. I told the kids that it was his visual/spatial thinking ability that allowed him to succeed where others could not.
Then there is M.C. Escher. Wow, what a mind and eye.
Yours truly has always had a mixed lot. As a kid I read an article about how you fold your hands, cross your arms, etc. It said those who put their right thumb on top were usually left handed and vice versa. Same for folding arms, crossing your legs. But I was right handed. I also rake like a left hander (left hand up near top of rake, shovel). But I'm a right hander. Then I started using the computer and due to repetitive stress I decided to 'train' my left hand to use the mouse. Now I can use it even for selecting the periphery of an object in Photoshop. Not bad. But don't ask me to write anything legible with it.
This is all very much an unknown area of study and fascinating for sure.
Here's another fun animation:
http://www.uq.edu.au/nuq/jack/bonneh.html
