21–26 of 26 posts
Awesome, but why a genetic algorithm? I wonder if it could be formulated as a tractable optimization problem instead.
Or perhaps solved more purely using Calculus of Variations.
I may be reading this wrong, but I think this means that a shot glass is mathematically perfect.
I'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.
Oh, I've heard this one before. Then the physicist fills a balloon with water and sticks a straw in it, proclaiming it a dynamically optimal system (in the absence of gravity); and finally the engineer sprays foam insulation on a glass jar and calls it a day.
http://www.amazon.com/gp/aw/d/B004NBXR98/ref=mp_s_a_1_1?qid=...
Earlier quoted context omitted.
I'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.
As 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.
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)
https://shop.funraniumlabs.com/products/665ml-fmj-textured-v...
I may be reading this wrong, but I think this means that a shot glass is mathematically perfect.
I'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.
