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/sci/ - Science & Math

File: 104 KB, 784x616, Screen Shot 2020-01-07 at 3.47.27 AM.png [View same] [iqdb] [saucenao] [google]

Anonymous Tue Jan 7 05:57:34 2020 No.11284306 [Reply] [Original]

How the fuck does this topology BS have any real world practical applications?

designing handcuffs for mr. fantastic?

>>	Anonymous Tue Jan 7 05:58:12 2020 No.11284308 File: 205 KB, 880x1148, Screen Shot 2020-01-07 at 3.57.48 AM.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Tue Jan 7 06:03:19 2020 No.11284316 How do you even solve this?

>>	Anonymous Tue Jan 7 06:05:16 2020 No.11284320 >>11284316 don't imagine it as infinitely elastic rubber, but as clay with rules you can move or 'glide' each junction point along the surface freely

>>	Anonymous Tue Jan 7 06:07:25 2020 No.11284327 >>11284320 And still, how do you solve it? I've been trying it in my head for a while, couldn't get anywhere.

>>	Anonymous Tue Jan 7 06:07:50 2020 No.11284329 >>11284306 This is impossible

>>	Anonymous Tue Jan 7 06:09:54 2020 No.11284333 >>11284327 >>11284329 https://www.youtube.com/watch?v=H8qwqGjOlSE#t=3m 3 min

>>	Anonymous Tue Jan 7 06:11:10 2020 No.11284334 >>11284333 I miss PBS Infinite Series...

>>	Anonymous Tue Jan 7 06:13:35 2020 No.11284335 https://www.wikifeet.com/Kelsey_Houston-Edwards of course it exists https://www.wikifeet.com/Vi_Hart

>>	Anonymous Tue Jan 7 06:18:35 2020 No.11284341 File: 33 KB, 600x600, pepe.jpg [View same] [iqdb] [saucenao] [google] >>11284333 If you inflate the main loop even more you get a ball

>>	Anonymous Tue Jan 7 06:21:14 2020 No.11284344 https://www.youtube.com/watch?v=8aUdKimSCJI here's one without need for infinite elasticity I've had this puzzle for years, thought it was a troll toy.

>>	Anonymous Tue Jan 7 10:57:14 2020 No.11284722 >>11284334 I miss the qt

>>	Anonymous Tue Jan 7 11:57:40 2020 No.11284793 >>11284333 sorry, still can't visualize how the hell does the bottom loop disappear at 3m14s

Anonymous Tue Jan 7 12:11:16 2020 No.11284819

>>11284333
How can the ring connecting the two linked rings just be changed into a ball? Didn't she explain that a ring and a ball are topologically speaking fundamentally different? The end result lacks the connecting ring! Doesn't the first picture have torus 3 instead of torus 2? It has three ring shapes! Help me understand please.

>>	Anonymous Tue Jan 7 12:12:19 2020 No.11284821 >>11284819 genus* not torus

>>	Anonymous Tue Jan 7 12:23:58 2020 No.11284836 >>11284819 Anon, there's nothing wrong with mixing up isotopy. But they're clearly homeomorphic, are you retarded?

>>	Anonymous Tue Jan 7 12:25:10 2020 No.11284838 >>11284819 Yeah exactly. They break their own rules. What a bunch of nigger nonsense.

>>	Anonymous Tue Jan 7 12:28:31 2020 No.11284843 >>11284836 That didn't help me understand at all

>>	Anonymous Tue Jan 7 12:29:55 2020 No.11284849 File: 155 KB, 713x1480, solution.jpg [View same] [iqdb] [saucenao] [google] >>11284819 I made a different solution >>11284838 kek brainlet

>>	Anonymous Tue Jan 7 12:32:12 2020 No.11284854 >>11284849 bravissimo

>>	Anonymous Tue Jan 7 12:32:34 2020 No.11284855 >>11284849 i see now, thank you

>>	Anonymous Tue Jan 7 12:43:03 2020 No.11284866 File: 123 KB, 804x1740, solution2.jpg [View same] [iqdb] [saucenao] [google] >>11284308

>>	Anonymous Tue Jan 7 12:46:52 2020 No.11284870 >>11284866 >the two loops obviously aren't homotopic, but you can still do this i thought i understood topology wtf

>>	Anonymous Tue Jan 7 12:53:21 2020 No.11284882 So is this actually what people are working on when they say topology? Is math ever actually hard or just hard to understand for the uninitiated?

>>	Anonymous Tue Jan 7 12:57:43 2020 No.11284893 >>11284882 math is hard to internalize and put into practice

>>	Anonymous Tue Jan 7 12:59:26 2020 No.11284897 File: 204 KB, 827x1229, solution3.jpg [View same] [iqdb] [saucenao] [google] >>11284308

>>	Anonymous Tue Jan 7 13:03:15 2020 No.11284901 >>11284882 you have to do months of point set topology before you get to see pretty pictures https://www.youtube.com/watch?v=YqJ3LLJV5zQ

>>	Anonymous Tue Jan 7 13:14:34 2020 No.11284922 >>11284849 +5 internets

>>	Anonymous Tue Jan 7 13:26:38 2020 No.11284941 File: 453 KB, 1920x1080, 1574721454997.jpg [View same] [iqdb] [saucenao] [google] >>11284849 >how sci kisses their date

>>	Anonymous Tue Jan 7 13:37:56 2020 No.11284961 File: 2.02 MB, 1352x2435, 20200107_091857-1.jpg [View same] [iqdb] [saucenao] [google] I think... I'll just leave this here

>>	Anonymous Tue Jan 7 14:04:54 2020 No.11285035 >>11284882 you're wrong to begin with, this is nothing like what topologists do.

>>	Anonymous Tue Jan 7 14:22:53 2020 No.11285059 >>11284870 How are they not homotopic?

>>	Anonymous Tue Jan 7 14:25:37 2020 No.11285061 >>11284941 >sci >two girls Factually incorrect.

>>	Anonymous Tue Jan 7 14:59:09 2020 No.11285114 >>11284849 >kek brainlet You didn't prove me wrong.

Anonymous Tue Jan 7 15:51:49 2020 No.11285225

>>11284793
think about it as of you did it with your body
your main body inflates, subsuming your arms into your now round body. You basically are a ball with two hands now.
Then you pull your hands into your body as well so that only your fingers poke out of it
and then you basically move the base of your right thumb through the space between your left index and thumb

>>	Anonymous Tue Jan 7 16:39:51 2020 No.11285316 >>11284306 I actually attended a talk where some theoretical chemist discovered how to produce a carbon framework with negative curvature using topology.

>>	Anonymous Tue Jan 7 16:52:02 2020 No.11285340 >>11284849 good post

>>	Anonymous Tue Jan 7 19:11:19 2020 No.11285645 >>11284819 >Doesn't the first picture have torus 3 instead of torus 2? No, it was always genus 2.

>>	Anonymous Tue Jan 7 19:23:12 2020 No.11285662 >>11285059 how would they be?

>>	Anonymous Tue Jan 7 19:36:53 2020 No.11285699 >>11284866 Would it be permitted to move the right loop inside through the left one in last phase?

>>	Anonymous Tue Jan 7 19:38:40 2020 No.11285707 >>11285699 Nevermind kek thats what you did

>>	Anonymous Tue Jan 7 20:44:30 2020 No.11285820 >>11285662 The shape is basically just one loop with another loop hanging off of it. You can squeeze the other loop inside the first. Nbd

>>	Anonymous Tue Jan 7 21:16:01 2020 No.11285868 >>11285061 there are tons of girls (male) on sci

>>	Anonymous Tue Jan 7 21:24:25 2020 No.11285880 >>11284333 i want to stretch the morphology of that thigh gap

Anonymous Tue Jan 7 21:37:27 2020 No.11285902

>>11284819
My guess, having never taken a class, is in topography you get to play with surface area and volume as much as you want, so long as the surface area does not break nor weld(?) with other parts.
At this point I agree, what in the fuck than is the real world application of these mind games. Like yeah, we can all break rules and get 1+1=3

Tho I can see the logic applications of boiling everything down to basic shapes, like a coffee mug is just a toroid. Toroids might share similar manufacturing tricks.

>>	Anonymous Tue Jan 7 22:27:20 2020 No.11285988 File: 118 KB, 719x949, IMG_20200107_222433.jpg [View same] [iqdb] [saucenao] [google] >>11284306

>>	Anonymous Tue Jan 7 22:48:02 2020 No.11286017 >>11284849 How do you get from 5 to 6? You're on the inner loop in 5 but then magically are on the outer loop in 6

>>	Anonymous Tue Jan 7 23:05:38 2020 No.11286033 >>11286017 Pay attention to the blue line. The point where it attaches is just sliding down.

Anonymous Tue Jan 7 23:20:40 2020 No.11286053

>>11284306
It hilariously doesn't. I took a few classes on algebraic topology as a student. The professors admitted multiple times that "most" topology has no practical application at all and probably never will, and I gather that this was a fairly normal perspective in the field.
Study math for math's sake. Everything else is trivial.
>>11285902
>topography
You mean topology?

>>	Anonymous Tue Jan 7 23:23:05 2020 No.11286059 >>11284849 This is an actually good post right here. I actually feel like I learned something. Good job.

Anonymous Tue Jan 7 23:26:40 2020 No.11286065

>>11285902
No see the point of this is that even when you break some of these rules, it's impossible to create a contradiction, so you can't "prove anything" with this. The biggest advantage, I think, of doing this activities is to provide a deeper theoretical background for analysis and expand the way we think about analysis.

>>	Anonymous Tue Jan 7 23:45:31 2020 No.11286094 >>11285820 oh, no, you misunderstand what loops i meant. i meant the curves embedded on the surface. of course, this only works when the surface is embedded in R^3 which is why it happens to begin with. it's still strange seeming but whatever.

>>	Anonymous Tue Jan 7 23:47:39 2020 No.11286096 >>11286053 your professor was wrong, topology is extremely relevant to a number of applications. biology in terms of protein folding, topological data analysis for stats and data science, etc. to be fair these are relatively new applications.

>>	Anonymous Tue Jan 7 23:51:13 2020 No.11286102 >>11286096 Maybe it's being used more practically now. That's a good thing then.

>>	Anonymous Wed Jan 8 03:50:04 2020 No.11286445 >>11286102 No. Application of pure mathematics is almost never good.

>>	Anonymous Wed Jan 8 04:07:06 2020 No.11286460 >>11286445 Why?

>>	Anonymous Wed Jan 8 04:27:59 2020 No.11286473 File: 27 KB, 315x499, 41G9xolWZ5L._SX313_BO1,204,203,200_.jpg [View same] [iqdb] [saucenao] [google] >>11284306

Anonymous Wed Jan 8 09:24:46 2020 No.11286808

>>11286460
>>11286102
It is a good thing, the other guy is a schizo. But it wasn't bad before, none of the applications could ever have existed had we not, say, properly developed different homology theories in isolation. Or had we not looked at polynomial invariants of knots without thinking about what they might be used for. This stuff was all very abstract and it was important.
>>11286445
Incorrect. Never post again.

>>	Anonymous Wed Jan 8 09:42:33 2020 No.11286822 >>11284849 yeah, I'm thinking this is based

>>	Anonymous Wed Jan 8 10:41:32 2020 No.11286883 >>11284308 it's useful for CAD software.

>>	Anonymous Wed Jan 8 10:54:44 2020 No.11286900 >>11285988 based solution too

>>	Anonymous Wed Jan 8 14:42:03 2020 No.11287219 >>11284306 How old are you?

>>	Anonymous Wed Jan 8 15:48:16 2020 No.11287316 >>11286808 >Incorrect. Never post again. You're talking to G. H. Hardy, loser.

>>	Anonymous Wed Jan 8 16:02:21 2020 No.11287344 >>11286808 Its correct now

>>	Anonymous Wed Jan 8 19:22:48 2020 No.11287725 Can someone unironically explain what the fuck this is and how it is useful?

>>	Anonymous Wed Jan 8 19:36:39 2020 No.11287752 >>11287725 https://en.wikipedia.org/wiki/Topology

>>	Anonymous Wed Jan 8 19:42:56 2020 No.11287767 File: 54 KB, 660x400, B25CC55F-7C9A-4DBD-B0FD-B79DB0C26E47.jpg [View same] [iqdb] [saucenao] [google] Is it possible for there to be a material that works completely topologically under SATP?

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