/sci/ - Science & Math

[Anonymous No.3087905]

How do I find the most optimal way to fit various sized squares together? Basically I want to print a sheet of graphing paper with all the squares already layed out (1x1, 2x2, 3x3, 4x4, 5x5, up to 20x20)

[Anonymous No.3087907]

The Golden ratio motherfucker, do you know what it is?

[Anonymous No.3087909]

..with a gap separating each of them, as shown in the pic.

[Anonymous No.3087912]

>>3087907
vagely. I suck at math.

[Anonymous No.3087938]

>>3087905
Lol, put all all the smaller ones inside the bigger one.

[Anonymous No.3087949]

>1x1 - 20x20, with a space between


You're going to need a fucking big piece of paper.

[Anonymous No.3087954]

>>3087949
or small graphing paper

[Anonymous No.3087958]

>>3087938

[Anonymous No.3087963]

>>3087905
Have you tried...the least squares method?

[Anonymous No.3087965]

OP here. It doesn't have to go up to 20x20. I just want to fit as many as possible on a single sheet, without the grid getting TOO small.

[Anonymous No.3087978]

1 through 20 squared? god dam, whats that like 20*21*41/6=2870 squares in the paper? well, assuming the paper has enough room for it, just start with the biggest one, fit smaller ones in the crevices and repeat until it is as full as possible

[Anonymous No.3088153]

>>3087907
Wow, this was impressive, 1 fucking minute!

Yes, this is how you do it, see that the image is made up of squares?

Let's say your paper is 35 x 20 units
Start out with the biggest one (20x20)
Then you could also fit a 15x15.
Now there's 15x5 left, so you could put down a
5x5
The spiral is now complete and you have a space of 10x5 left.
Plenty of room for 4x4 3x3 2x2 and 1x1
Now start over with your biggest which is 19x19
Now the 16x16 fits snugly
you could put a 4x4 in there now or just move on
18x18 + 17x17
and now you can just throw whatever you can fit