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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
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Math puzzles for dinner
I really like the following puzzle, called the blue-eyed islanders problem, taken from Professor Tao's blog :
"There is an island upon which a tribe resides. … For those of you interested, there is a huge discussion of the problem at http://terrytao.wordpress.com/2008/02/05/the-blue-eyed-islanders-puzzle/
Malik …