How Gauss Taught Us the Best Way to Hold a Pizza Slice
31–35 of 35 posts
Re: How Gauss Taught Us the Best Way to Hold a Pizza Slice
#32Huh, why does the original Wired article say "19th century math genius" instead of "Gauss"? Is Gauss really that unknown to Wired's audience?
Re: How Gauss Taught Us the Best Way to Hold a Pizza Slice
#33Earlier quoted context omitted.
The point is that stiffness is provided by reducing the degrees of freedom that would cause flopping to those that would require you to "stretch, shrink or tear" the piece of pizza. As a result, in cases where your stresses are negligible compared to the yield strength of your material this approximation accurately predicts the behavior without resorting to FEM or in depth analysis. While I agree that there are more…
This has nothing to do with yield strength, which is relevant only where the materials "yields" or plastifies. This is just linear elastic beam bending theory - you have two different beam cross sections in either case with two different moments of inertia. See also my other comment: https://news.ycombinator.com/item?id=8276173 You could fold a piece of fabric like you do the pizza, and it will not keep its shape.
Re: How Gauss Taught Us the Best Way to Hold a Pizza Slice
#34I totally call bullshit on not being able to crack an egg. Next time I see an egg, I'm trying it.
Re: How Gauss Taught Us the Best Way to Hold a Pizza Slice
#35The author's point that "curvature imputes stiffness" conflates several different and distinct mechanisms, and offers an inadequate explanation. For the examples of the pizza, the leaf, and the corrugated sheets, the stiffness is due to the fact that the bending moment of inertia of the cross-section increases when we fold the pizza or the sheet in a particular way [1]. The Theorema Egregium shows that such a structu…