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

22 votes
3 answers
2k views

An elementary problem in Euclidean geometry [closed]

This problem was first put to me by Luke Pebody (who did not know the answer at the time) and after some work I am yet to find a proof or counterexample. I would be grateful of any insights. Call a v …
Chris Taylor's user avatar
13 votes
1 answer
7k views

Generalization of a horse-racing puzzle

A well-known puzzle goes: "Suppose that you have 25 horses and a racetrack on which you can race up to 5 horses. …
Chris Taylor's user avatar
3 votes
1 answer
817 views

The Mystic Rose

You can see my initial progress on this puzzle here. …
Chris Taylor's user avatar