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Joined 2 years ago
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Cake day: July 25th, 2024

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  • Ah, yes, whatever would we do if nobody was stopping international conflicts from getting out of control? If the UN werent there to stop them, we might have the most-heavily-armed nation in the history of humanity actively funding genocide by a client state (with the actual diplomats saying their goal was to start literal Armageddon), kidnapping heads of state, assassinating heads of state, and suborning the second-most-nuke-filled country’s annexation of another country by lifting embargoes! Man, could you imagine if the headquarters of the United Nations were in THAT country, and everybody just… Did nothing? Man, what a crazy world we would live in.

    It sure is a good thing that that same country doesn’t also refuse to sign any of the treaties meant to “save us from hell”, like the one saying “we won’t use land mines”, or the one saying “genocide, crimes against humanity and war crimes are bad, and we should send people who do them to be punished”, or, oh yeah, all those treaties that are meant to actually make it so we don’t boil ourselves alive on a gods-forsaken world? Man, that would be wild.

    Don’t get me wrong: many UN organizations do really good work. Look at the WHO! Man, it’s a good thing that that same country understands the important work of preventing and reducing the impact of the next Pandemic! What an awful world we would live in if they, say, decided to stop funding the WHO!








  • Since a link to a wiki article does not an explanation make:

    The optimal efficiency (zero interstitial space) is achieved when the ratio of the side length of the larger square to the sides of the shorter squares (let’s call it the “packing coefficient”) is precisely equal to the square root of the number of smaller squares. Hence why the case of n=25, with a packing coefficient of 5, is actually more efficient than the packing of n=17 given in the waffle iron, with a packing coefficient of 4.675. Since sqrt(25)=5, that case is a perfectly efficient packing, equivalent to the case of n=16 with coefficient of 4. Since sqrt(17)=4.123, the waffle packing (represented by the orangutan) above is not perfectly efficient, leaving interstices. However, the packing coefficient of the suboptimal solution (represented by the girl) is actually 4.707, slightly further from sqrt(17), and thus less efficient, leaving greater wasted interstitial space.








  • I mean, the actual answer is severalfold: “sometimes, when you need to fill a space, you don’t end up with simple compound numbers of identical packages” is one, but really, it’s a problem in mathematics which, were we to have a general solution to find the most efficient method of packing n objects with identical properties into the smallest area, we would be able to more effectively predict natural structures, including predicting things like protein folding, which is a huge area of medical research. Simple, seemingly inapplicable cases can often be generalised to more specific cases, and that’s how you get the entire field of applied math, as well as most of scientific and engineering modeling