I don't know what science is behind the dancer, either. I tend to think it's in the optical illusion category, though, rather than the left/right brain dichotomy. But what I tend to think is Not Science™.
I do find it fascinating how easily people accept a veneer of brain science (cf the accompanying picture example) and are ready to start categorising themselves and others on a very slim basis.
People like to be able to explain why some things are as they are. Why not use flimsy brain science to attribute traits? Skin colour seems to be an acceptable enough way of categorising for many people. Ad astra per aspera
Same class of 'science'
That's not something I dare to say round here... ;)
I wouldn't compare this to categorisation on the basis of colour, race, gender, etc, though -- which are social hierarchy sub-categories. These tests with their veneer of brain science seem to appeal to the highly educated and concern personal, possibly innate, dispositions. Yes, maybe a question of reassuring oneself, like an IQ test.
I'm in trouble, because the dancer says I'm right-brained and the coffee beans say I'm left-brained. D'oh, the headache!