4 ms·
I may be reading this wrong, but I think this means that a shot glass is mathematically perfect.
by dj-wonk 12y ago
I may be reading this wrong, but I think this means that a shot glass is mathematically perfect.
- nkozyra 12y agoI can only read this wrong because I found a shot glass "mathematically perfect" earlier this evening.
- nine_k 12y agoI'd notice that this must also describe the best shape of a glass to keep a beverage hot. But, unlike shot glasses, tea and coffee cups look very different.
- joaquintides 12y agoAs you correctly point out the problem is entirely symmetrical to that of keeping a hot beverage as hot as possible. If we take the different problem of trying to cool a hot beverage, the optimum, pathological solution would be a glass with 0 height and infinite width --studying this problem with the additional constraint that width be limited to some predefined value might make for an interesting followup article.
- Someone 12y agoI would add the constraint that the surface is convex, too. Without that, one could build some 3D fractal, and get infinite area for any given volume. Alternatively, complicate things by taking the width of the glass into account or model convection more realistically (a square meter of glass close to other glass of similar temperature will not lose much heat)
- deleted 12y ago[deleted]
- maho 12y agoI guess that the ratio h_open/h_closed is much bigger for hot beverages, due to evaporative cooling. Of course, this would mean that the optimum shape is even thinner than those that were calculated. But maybe the shape of tee-cups and coffee mugs is optimal, in its own way? I certainly appreciate that beverages that need quite high temperatures for brewing are cooled down quickly to a drinkable temperature.
- dj-wonk 12y agoI think shot glasses are optimized to be put into various configurations, such as matrices and triangular matrices: http://www.likecool.com/Home/Accessories/Billiards%20Shot%20Glass%20Set/Billiards-Shot-Glass-Set.jpg http://www.likecool.com/Home/Accessories/Billiards%20Shot%20...