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2017/01/28: An issue regarding the front page of /jp/ has been fixed. Also, thanks to all who contacted us about sponsorship.

# /sci/ - Science & Math

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File: 55 KB, 1332x602, can sci do this.png [View same] [iqdb] [saucenao] [google] [report]

time for your brainteaser. I have to admit though, I dont actually know the solution myself. its not homework though, I promise.

 >> Anonymous Thu Dec 6 17:18:46 2018 No.10195170 lmao what the fuck are you trying to say
 >> Anonymous Thu Dec 6 17:22:56 2018 No.10195179 >>10195170morph a 2d curve into a 3d curve by wrapping its image around a 3d shape
 >> Anonymous Thu Dec 6 17:40:28 2018 No.10195204
 >> Anonymous Thu Dec 6 18:10:50 2018 No.10195271 >>10195164Its not possible to map from a flat surface to a curved one like that, no matter how many surfaces it has.What you CAN do however is map two points, that determine a line as the shortest distance between them, from a flat surface onto a curved one, and then find the new shortest distance on the curved surface, which is called the geodesic defined as $0 = \frac{d(dx^\alpha d\lambda)} {d\lambda} + \Gamma^\alpha_{\mu\lambda} \frac{dx^\mu} {d\lambda} \frac{dx^\lambda} {d\lambda}$ where $\Gamma^\alpha_{\mu\lambda}$ denotes the Cristoffel Symbol determined by the metric of the curved space.
 >> Anonymous Thu Dec 6 19:06:54 2018 No.10195377 >>10195271>>10195271are you saying you couldnt tie yarn through a klein bottle? imagine you had a hanky a pen and a klein bottle. at least some subset of solutions are physically verifiable, no?
 >> Anonymous Thu Dec 6 19:08:07 2018 No.10195379 >>10195377Knots don't exist in 4d space
 >> Anonymous Thu Dec 6 19:11:02 2018 No.10195380 >>10195379ok. here, ive been starting from the basic shapes.
 >> Anonymous Thu Dec 6 19:12:07 2018 No.10195382 File: 49 KB, 1340x930, wrapping paper.png [View same] [iqdb] [saucenao] [google] [report] >>10195380>pic related
 >> Anonymous Thu Dec 6 19:29:35 2018 No.10195411 File: 187 KB, 1200x1950, how to tie a klein bottle.png [View same] [iqdb] [saucenao] [google] [report] >>10195271>>10195377>>10195379so how is this not a knot? if you join both ends then it is stuck to the bottle...
 >> Anonymous Thu Dec 6 19:44:18 2018 No.10195434 >>10195271[\math]\Gamma^\alpha_{\mu\lambda}[/math]
 >> Anonymous Thu Dec 6 19:46:44 2018 No.10195440 $\Gamma^\alpha_{\mu\lambda}$
 >> Anonymous Thu Dec 6 19:48:34 2018 No.10195447 $\Gamma^{\alpha_{\mu\lambda}}$
 >> Anonymous Thu Dec 6 19:52:32 2018 No.10195452 post$2^a$end
 >> Anonymous Thu Dec 6 19:55:05 2018 No.10195462 post$\Gamma^{\alpha_{\mu \lambda}}$ok
 >> Anonymous Thu Dec 6 22:14:24 2018 No.10195690 Just identify the edges with appropriate twists
 >> Anonymous Thu Dec 6 22:23:24 2018 No.10195698 >>10195462$\Gamma^{\alpha}_{\mu \lambda}$use the god damn tex viewer in the top left of posting
 >> Anonymous Thu Dec 6 22:40:46 2018 No.10195719 >>10195698>tex viewerwow thats awesome. i never saw that before. this website is so functional but so inacessable to newfags.
 >> Anonymous Thu Dec 6 23:24:29 2018 No.10195780 is this a triforce thread now?$\Gamma^{\alpha}_{\mu\lambda}$
 >> Anonymous Thu Dec 6 23:25:37 2018 No.10195782 >>10195780$\space$ ▲▲ ▲
 >> Anonymous Thu Dec 6 23:43:53 2018 No.10195814
 >> Anonymous Thu Dec 6 23:49:21 2018 No.10195820 >>10195164>3D curve>it's actually a 2D surfaceFucking retard
 >> Anonymous Fri Dec 7 00:31:48 2018 No.10195889 File: 89 KB, 890x656, 1523053903757.jpg [View same] [iqdb] [saucenao] [google] [report] >>10195820a picture of a sphere is in 2 dimensions too, you lame brainlet.
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