4 ms·
I’ve known about the möbius strip since I was a kid, and the idea of existence proofs based on continuous functions having to cross since my early teens. The i
by gcanyon 2y ago
I’ve known about the möbius strip since I was a kid, and the idea of existence proofs based on continuous functions having to cross since my early teens.
The idea that the möbiu strip is more than a pointless novelty has never occurred to me, and now I feel like I have to apologize to that object for dismissing it so cavalierly. Its role in this proof is remarkable and a wonderful brain tickle.
- edanm 2y agoIf you haven't seen Dr Tadashi Tokieda's lectures on geometry, I highly encourage you to watch at least the first one. The best introduction to any math topic I've ever seen, I think, based around (among other things) the Mobius strip. https://www.youtube.com/watch?v=SXHHvoaSctc&list=PLTBqohhFNBE_09L0i-lf3fYXF5woAbrzJ https://www.youtube.com/watch?v=SXHHvoaSctc&list=PLTBqohhFNB...
- gcanyon 2y agoThis is awesome, thanks!