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Ask HN: Ham sandwich theorem
What are your favorite famous/ridiculous theorems out there? I just stumbled upon this gem: http://en.wikipedia.org/wiki/Ham_sandwich_theorem
- weaksauce 17y agoClickable link: http://en.wikipedia.org/wiki/Ham_sandwich_theorem http://en.wikipedia.org/wiki/Ham_sandwich_theorem
- RiderOfGiraffes 17y agoWas this submission inspired by the earlier one here: http://news.ycombinator.com/item?id=982247 http://news.ycombinator.com/item?id=982247 ?? And why is the Ham Sandwich Theorem "ridiculous"? It says that any N sets in N dimensional space can simultaneously be bisected by an N-1 dimensional (hyper-)plane. Giving it a visually evocative name doesn't make it ridiculous. What about Hall's Marriage Theorem? Is that "ridiculous" enough?
- weaksauce 17y agoNo... I was looking at the post on mathoverflow:fundamental examples: http://news.ycombinator.com/item?id=984512 http://news.ycombinator.com/item?id=984512 and then I went off on wikipedia for a while and came across this. It's only ridiculous in the sense of the name and the fact that they used it as an example in the proof. Otherwise it is a fine result.