Problems with an interesting visual solution?

Asked Feb 07 '24 at 20:58

Active Feb 07 '24 at 20:58

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I am looking for questions which can be simplified and solved with a visual/geometric proof. For example, solving Buffon's needle problem using a circular needle. Preferably understandable for 16-18 year olds, be it with some effort. Thanks

asked Feb 07 '24 at 20:58

cat

Google "Proofs without words".There is also a very beatiful example in Dana Scott's foreword to this book on mechanised proofs of the irrationality of $\sqrt{2}$ (in the note added at the end of the foreword). – Rob Arthan Feb 07 '24 at 21:08
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Questions of this kind should definitely be allowed on MSE. I suggest you add the reference request tag and say a bit about what references you have looked at. – Rob Arthan Feb 07 '24 at 21:22
You may want to check out the book "Q.E.D.: Beauty in Mathematical Proof" – Mark S. Feb 07 '24 at 21:25
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@MarkS. Please vote to reopen the question. – Rob Arthan Feb 07 '24 at 21:28
@RobArthan I happen to think it doesn't belong on this site because it won't have a definitive answer. – Mark S. Feb 07 '24 at 22:42
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See the M.SE question "Visually stunning math concepts which are easy to explain" and its $110$ (so far!) answers. A site search for beautiful currently turns up $4599$ results, although not all refer to the visual sense; additional searches should prove fruitful as well. – Blue Feb 08 '24 at 00:59
@MarkS: it's essentially a reference request. They never have definitive answers. – Rob Arthan Feb 08 '24 at 20:13

Problems with an interesting visual solution?

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