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] 35 points 4 months ago* (last edited 4 months ago) (2 children)

How?

Yes, if you push the circles down a bit, it forms a 7 by 7 matrix. But if pushing the circles into a square matrix is not allowed: how?

Edit: I get it now. It is about (efficient) packing not about counting. I also get the 4th panel now...

[–] [email protected] 66 points 4 months ago (1 children)

7 by 7 matrix isn’t the optimal packing. The square shown is slightly smaller than 7 by 7.

[–] [email protected] 8 points 4 months ago* (last edited 4 months ago)

Thanks. I thought it was about counting. It all makes a lot more sense now. (And it also doesn't.)

[–] [email protected] 9 points 4 months ago* (last edited 4 months ago) (1 children)

Yeah it can fit almost 7 in a line in the last panel so theese definitely aren't the same squares(or circles)

[–] [email protected] 21 points 4 months ago* (last edited 4 months ago) (1 children)

These are optimal packings of n circles in a square container of the smallest size that will contain them

[–] [email protected] 9 points 4 months ago (1 children)

So it is fitting the 49 in smallest square and not fitting as many circles as possible in given square? Okay that makes sense

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

Correct!