We just learned about eye movement of Smooth Pursuit.
Another part of eye movement is Rapid Eye Movement also called REM.
Sometimes when a person is sleeping, their eyes will move around quickly in a bunch of different directions over and over again for a while.
The quick or rapid eye movement also happens at the same time as a lot of activity in the brain even while you are asleep.
Some scientists think that REM is what happens when you are having very active dreams.
(from: wikipedia - rapid eye movement sleep)
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