[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 11 KB, 230x220, download (5).jpg [View same] [iqdb] [saucenao] [google]
16043807 No.16043807 [Reply] [Original]

It seems stupid to me that the sphere packing problem is still not solved. In dimensions larger than 4 we ought to be able to simulate a large N-dimensional "ball pit", lubricating and virbrating it as appropriate in order to raise the lower bound on the kissing number.

I believe with this method we can raise the minimum bound on the sphere kissing number in dimension 5 to 41.

>> No.16043818

If you think it is so easy why don't you go solve it then.

>> No.16043929
File: 51 KB, 500x515, 1676421582405905.jpg [View same] [iqdb] [saucenao] [google]
16043929

Square packing is more interesting

>> No.16044078

>>16043929
disgusting

>> No.16044196

>>16043807
i thought it was solved and that ukranian woman got a prize for it. tho its marred because of the war and people will always say she got it because of politics

>> No.16044215
File: 32 KB, 538x260, sphericalholography.jpg [View same] [iqdb] [saucenao] [google]
16044215

>>16043807
https://en.wikipedia.org/wiki/Mie_scattering
It seems like a cool practical method to devolping holographical imaging systems.

>> No.16044330

>>16043807
it's all pretty uninteresting unless you optimise for various boundary conditions in a finite volume. Also 4 dimensions is gay stick to 3 homo.

>> No.16044335
File: 126 KB, 1758x2048, Cubic-face-centered.svg.png [View same] [iqdb] [saucenao] [google]
16044335

>>16043807
for me, its the face-centered cubic structure

>> No.16044402

>>16044330
>boundary conditions in a finite volume
true
>4 dimensions is gay stick to 3
false

>> No.16045801
File: 137 KB, 703x323, 1683806894534.png [View same] [iqdb] [saucenao] [google]
16045801

>>16044335
Hexagonal Close Packed is the ideal form and you know it!