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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
2
votes
probability and math puzzle books/references
Some of the math problems have appeared in his various puzzle columns for BBC Radio and TV, Canadian Broadcasting, Focus (the UK popular science magazine), Games and Puzzles, the Los Angeles Times, Micromath … , the Puzzle a Day memo pad and the Weekend Telegraph. …
8
votes
Accepted
Undecidable puzzles
Typing "undecidable" and "puzzle" into MathSciNet turned up a couple of candidates. … Math. 144 (2004), no. 3, 345–358; MR2098189 (2005j:94043)] showing the same for the 4-color Tantrix puzzle. …
30
votes
Accepted
Integers in a triangle, and differences
This is the first problem in Chapter 9 of Martin Gardner, Penrose Tiles to Trapdoor Ciphers. In the addendum to the chapter, he writes that Herbert Taylor has proved it can't be done for $n\gt5$. Unfo …
12
votes
Math puzzles for dinner
Instead of recommending some puzzles, I'll recommend some books containing many puzzles. Peter Winkler, Mathematical Puzzles; Peter Winkler, Mathematical Mind-Benders; Miodrag Petkovic, Famous Puzzles …
7
votes
Accepted
How many unit squares can you pack into a rectangle with nearly integer side lengths?
There's a fair bit of literature about efficient packing of squares in squares. See, e.g., Kearney and Shiu, Efficient packing of unit squares in a square, available at http://www.emis.de/journals/EJC …