Not only are optical illusions and other brain teasers and puzzles entertaining to solve, but they can also impart knowledge about the workings of the human brain. Some go so far as to identify the personality type you have because they frequently rely on snap judgments your brain makes about you.
It can disclose the instinctive bias of your brain and possibly provide insight into your personality, as our brains make quick judgments based on pre-existing information. It can also highlight some of your potential blind spots.