Your brain switches from left to right regularly. The speed it switches is different for different people.
Mathematicians for example, spend a long time on one side of their brain (thinking through tough problems), while musicians jump between left and right (musical scales being used for improvisation).
Find out how fast you switch between your right and left sides by watching these two images.
http://www.uq.edu.au/nuq/jack/bonnet.gif
http://img.photobucket.com/albums/v682/Jessabelle3203/lilacChaser.gif
In both cases, stare at a central dot intently. Some dots will disappear. Keep staring, because they will come back. Your brain just switched from left to right to left.
Pretty cool huh?