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New sphere-packing record stems from an unexpected source

quantamagazine.org

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Re: New sphere-packing record stems from an unexpected source

#181

I have trouble explaining to my parents how my job is a real thing. I can only imagine trying to explain ‘I study shapes, but only ones that don’t jut inwards’.

While making it clear that packing spheres, which are also shapes that don't jut inwards, is a completely different field.

Re: New sphere-packing record stems from an unexpected source

#182
post #165

Earlier quoted context omitted.

It seems like dumbing it down or immediate heavy jargon with people you don't know are just both equally bad options. What's wrong with asking their level of experience with the topic? Sure, with parents you know the level. I'm talking "other strangers" you meet outside of a context where some familiarity would be expected (like at a conference one might assume at least some form of knowledge and ability to just have…

> What's wrong with asking their level of experience with the topic? Nothing. That's precisely the point. Giving a wall of jargon, isn't asking if someone is familiar.

Maybe it's just me but I feel entirely comfortable asking questions like "how much math did you take? do you remember what a derivative is?" and base my explanations on the response. Turns out fine every time so far... and if they don't remember what a derivative is (or whatever) then I just explain it differently no big deal. I'd almost argue it is easier than not asking, but only if I actually care about them understanding the answer.

Re: New sphere-packing record stems from an unexpected source

#184

FTA: “in 100-dimensional space, his method packs roughly 100 times as many spheres; in a million-dimensional space, it packs roughly 1 million times as many“ Nice example of how weird large-dimensional space is. Apparently, when smart minds were asked to put as many 100-dimensional oranges in a 100-dimensional crate as they could, so far, the best they managed to do was fill less than 1% of its space with oranges, an…

“Fill less than 1% of its space” becomes a very counter intuitive statement in any case when discussing high dimensions. If you consider a unit n-sphere bounded by a unit cube, the fraction occupied by the sphere vanishes for high n. (Aside: Strangely, the relationship is non monotonic and is actually maximal for n=6). For n=100 the volume of the unit 100-sphere is around 10^-40 (and you certainly cannot fit a second…

I’m familiar with this example of hyper-geometry. Put more abstractly, my intuition always said something like “the volume of hyper geometric shapes becomes more distributed about their surface as the number of dimensions increases”.

Re: New sphere-packing record stems from an unexpected source

#186

I have trouble explaining to my parents how my job is a real thing. I can only imagine trying to explain ‘I study shapes, but only ones that don’t jut inwards’.

There is a way to explain to neophytes and it's generally to be more emotional problem-solving and intuitive, and less logical or scientific. There's a toxicity that can rise up in talking in a seemingly over-specific manner which puts people off.

Explain it from the perspective of, "well, in order to get XYZ done, we are frustrated by it being hard, so we make an easy guess .. we try thinking about the problem in this crude way way because that's easy to think about, and then we make ABC because we know about ABC's ... and we are excited when using it gets us closer to working than anything else we've tried before".

Emotion-laden explanations are a viable way to explain to non-techs. They may be more comfortable thinking emotionally, whereas we are steeped in the logic and sometimes mathematics of our practice. So we must reintroduce emotion into the explanations.

It worked for me, explaining to my family, they followed on and actually understood.

Re: New sphere-packing record stems from an unexpected source

#187
post #12

I have trouble explaining to my parents how my job is a real thing. I can only imagine trying to explain ‘I study shapes, but only ones that don’t jut inwards’.

I've found it's best to explain my job using unintelligible jargon. There are three choices, really: You can give a quick explanation in terms they understand, which makes your job sound easy and makes them wonder how anybody gets paid to do it. You can explain what you do and why it's important in terms they understand, but it'll take so long they'll get bored and wish they hadn't asked. Or you can give a quick expl…

I don't have that problem ("I work with computers / I am a computer programmer") but I usually follow with "I'm a race driver. I drive the car as fast as I can, I don't change the tires nor the oil in it" when I get the usual "can you fix my computer?" request.

For reasons that I care not to ask people get seriously annoyed by that.

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