My Favorite Math Problem
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My Favorite Math Problem
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Re: My Favorite Math Problem
#2This was covered in MIT 6.042 in in a different and bit harder way by Tom Leighton as a general proof. The problem involved tiling the Stata courtyard with L-shaped tiles. You need a bit of mathematical induction to prove such results.
Re: My Favorite Math Problem
#3The 2x1 covers a1 and b1, not a1 and a2.
Re: My Favorite Math Problem
#4I came across one of my favorite math problems in high school and it blew my mind.
ABC
DEF
+ GHI
-----
123J
Of course you can write a short program that iterates through the possibilities. But there is also a very elegant solution that fits in a tweet. (If you don't want to try solving it, or have tried and have given up, here is the solution: https://twitter.com/joe_antognini/status/1436412147324502016)
Re: My Favorite Math Problem
#5Bunch of problems like this are in the book "Problem-Solving Strategies" by Arthur Engel [1], I believe even including this particular one. Fun book.
[1]https://www.google.com/books/edition/Problem_Solving_Strateg...
Re: My Favorite Math Problem
#6[deleted]
Re: My Favorite Math Problem
#7I came across one of my favorite math problems in high school and it blew my mind. ABC DEF + GHI ----- 123J Each letter represents a distinct digit 0-9. What is J? Of course you can write a short program that iterates through the possibilities. But there is also a very elegant solution that fits in a tweet. (If you don't want to try solving it, or have tried and have given up, here is the solution: https://twitter.co…
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Re: My Favorite Math Problem
#8I came across one of my favorite math problems in high school and it blew my mind. ABC DEF + GHI ----- 123J Each letter represents a distinct digit 0-9. What is J? Of course you can write a short program that iterates through the possibilities. But there is also a very elegant solution that fits in a tweet. (If you don't want to try solving it, or have tried and have given up, here is the solution: https://twitter.co…
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Re: My Favorite Math Problem
#9This one is my favorite, too—it really highlights what the job of a mathematician is. The board is the board, and the dominos either fit or they don’t, and it’s not clear why. But once someone adds the checkerboard shading—not changing the problem at all, but just adding a new way to look at it—suddenly the solution falls out, clear and obviously true.
Re: My Favorite Math Problem
#10Bunch of problems like this are in the book "Problem-Solving Strategies" by Arthur Engel [1], I believe even including this particular one. Fun book. [1] https://www.google.com/books/edition/Problem_Solving_Strateg...
Yeah, got this book and the problem was also a classical one.