The reason Pringles fit so nicely in a cylindrical tube is because they're hyperbolic paraboloids plotted over a circular domainpic.twitter.com/BUzjPw7e17
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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The reason Pringles fit so nicely in a cylindrical tube is because they're hyperbolic paraboloids plotted over a circular domainpic.twitter.com/BUzjPw7e17
Are they, though? They look more like they're plotted over an elliptical domain fairly smaller than the cross section of the can. IMO the advantage over flat ellipses is the traction created by contact between curved surfaces preventing the stack from collapsing inside the can
Yes, more elliptical than circular. https://en.wikipedia.org/wiki/Pringles#/media/File:Pringles_chips.JPG …
You would get the same traction regardless if a circular or elliptical region .. at least i don't see any difference between the two in terms of traction
Right, but I was comparing flat ellipses with curved surfaces plotted over elliptical regions, i.e. if the region is elliptical and doesn't fill the cross section of the can, that means the stack has room to collapse and the curved shape makes that less likely to happen,
whereas with a circular region that fills the cross section of the can there's not much reason to have a curved shape instead of a flat one since there's no space for it to collapse anyway.
i see what you're saying, i guess i just thought they made the cross section of the can a bit bigger than the support region of the pringle
So...for us less mathematically inclined out here...both correct, depending on initial conditions?
I think as a matter of fact what shape the pringles actually are we'd need the 2D projection of an actual pringle .. a shadow from a distance or a trace of the edges will do
Mathematics is so interesting if you can get your head around it. I got up to calculus and came to a very abrupt halt
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