this post was submitted on 26 Jun 2024
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Science Memes

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Efficency (mander.xyz)
submitted 4 months ago by [email protected] to c/[email protected]
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[–] [email protected] 202 points 4 months ago* (last edited 4 months ago) (2 children)

You got nothing on the 17 square packing

[–] [email protected] 23 points 4 months ago (3 children)

Can someone explain this?

[–] [email protected] 78 points 4 months ago* (last edited 4 months ago) (2 children)

This is the most efficient (known) packing of 17 unit squares inside a square. If you're asking why it's like that, that's above my math proficiency level.

https://en.wikipedia.org/wiki/Square_packing

See also: https://kingbird.myphotos.cc/packing/squares_in_squares.html

[–] [email protected] 9 points 4 months ago (2 children)

It's like that because the universe wants us to suffer.

[–] [email protected] 3 points 4 months ago (1 children)

No, suffering would be if it were always the same predictable pattern in everything all the time.

[–] [email protected] 4 points 4 months ago

True. You can't have joy without suffering, light without dark, cars without an extended warranty.

[–] [email protected] 3 points 4 months ago (1 children)

If God was real / or is real and cared, we would have a perfect 336 day year.

[–] [email protected] 1 points 4 months ago

If God was real the boxes would all fit in a nice grid for any square container. But the OP already has the conclusion for that one.

[–] [email protected] 8 points 4 months ago

Thanks I've lost 30 sanity points now, and I'm now sure with a number of squares sufficently high s is gonna equal to cthulu.

[–] [email protected] 34 points 4 months ago

We've figured out optimal packing methods for any number of squares inside a big square. When a number is below and near a square number like 15, you just leave an empty box, but when it's far from the next square number, you'll be able to pack them more efficiently than just leaving empty squares around. Turns out this kind of stuff is hilariously hard to prove that it's the most efficient method.

[–] [email protected] 7 points 4 months ago

Mathematics actually hates humanity, and it likes to remind us of it, sometimes. That's why.