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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

7 votes

The ants-on-a-ball problem

The post consists of initial ideas on top and the proof at the bottom. I think the key idea is to perform the process opposite to what you describe about subdividing into triangles. Indeed, our pro …
Ilya Nikokoshev's user avatar
1 vote

How to attack this diophantine equation in 3 variables?

Well, the numbers cannot be more then something like 10^5, so a simple program that cycles through all possible a and b and sees if there's a corresponding c might give you an answer pretty fast -- I …
Ilya Nikokoshev's user avatar