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This week’s Puzzle Corner activity is a magic trick with a mathematical, as well as a slight-of-hand, component. I first came across this trick in one of Martin Gardner’s many books on recreational mathematics. I liked it so much that I have been stumping students, friends, and family members with it ever since. You will need at least three cups to perform this trick. Begin this trick by explaining that the goal is to get all three cups facing up after making exactly three moves. Next, invite one of the students who was watching to get all the cups facing up in three moves. What students realize at this point is that when they try the trick, the cups are set up differently than they are when you do the trick. The reason for this is quite simple once you think about it. At this point, students are ready to talk about the mathematics involved in the trick. Below are questions about why the trick works and how it can be explained. Performing the trick: Move One: Flip right and center cups
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