As an aside (again, as a layperson) I've had this feeling with most Quanta articles, it's interesting and I feel like I get the gist but that's all. Kinda like it's both too simplified and touching on too deep concepts to tie together the article.
Sorry for the rambling.
Edit0: how many straight lines going through the whole length of the face it is on on a cubic surface. Honestly, I just hadn't really pictured a cubic surface to start with - that was the main part. Had that picture been higher up I think I would have liked the article right away! Thank you peeps
27 lines on a cubic surface
Into the search bar and go to the image results. It will 'click' mentally in practically no time at all.
(Clebsch or Klein surfaces)
https://en.wikipedia.org/wiki/Cubic_surface#/media/File:Cleb...
Quanta is one of the few examples in popular media I can think of where the Gell-Mann Amnesia effect does not seem to be operative. Or at least, if they are shoveling slop then they have a preternatural ability to hide it.
Not a proof but just something visual I noticed.
For, example would it hold if we put the restriction to 4, 5 or 10 points?
This sounds false. If the smaller circle is at the edge of the larger one, it is still entirely inside the larger one while a tangent line could touch both of them at the edge.
OgsyedIE•4mo ago