Have any lingering questions about knots? Want to hear more knot stories that didn’t make the cut? Derek and Emily (the writer/director of this video) will be hosting a livestream for our Patreons next week! Join our Patreon for more info and a link to the stream - ve42.co/VePatreon

@lightflix

11 ай бұрын

HI DEREK

@Octo_Fractalis

11 ай бұрын

🎉

@L17_8

11 ай бұрын

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

@namantherockstar

11 ай бұрын

Veritasium inspires me.. My parents said if i get 50K followers They'd buy me a professional camera for recording..begging u guys , literally Begging...

@alexjohansson9508

11 ай бұрын

Why is it called a unknot instead of a notknot?

My earphones discover all 352,152,252 knots half a second after entering my pocket.

@robotcodm7668

5 ай бұрын

lmao

@supertubemind

5 ай бұрын

Yes, but if you dig deeper, you'll find its just a simple unknot which is proving to be elusive to untangle.

@HeavenlyDevilGaming

5 ай бұрын

@@supertubemindway to ruin the joke

@cabbycabbycabbycabbycabby

5 ай бұрын

​@@HeavenlyDevilGamingIn a way they made the joke funnier.

@realskydiver777

4 ай бұрын

blud is way too mad@@HeavenlyDevilGaming

Veritasium's graphic designer would have become a physicist by now. It must take a lot of understanding on their part to learn the concept first and then visualize how to demonstrate it. It is just mind-blowing.

@seeqret

11 ай бұрын

And the animator too

@r.daneel738

11 ай бұрын

This

@dburitto

11 ай бұрын

They might even be the same person

@Buttersaemmel

11 ай бұрын

@@dburitto the face you see is Derek Muller. the animator is Fabio Albertelli, he also does graphical design (so probably also doing the graphical design for the videos). don't think they are the same person. Fabio Albertelli is well educated in science so he can work with the knowledge he already posseses.

@user-ov2fc5sd1e

11 ай бұрын

It's not _that_ complicated though...

The mathematicians missed the opportunity to name it 'Notknot'.

@caywo_

2 ай бұрын

Who's there

@P3TEY

2 ай бұрын

The unknot

@bravehawk5640

2 ай бұрын

@@P3TEY the not so knot

@KUNALPatel-zv1ex

2 ай бұрын

😂ya

@basje_b

23 күн бұрын

@@P3TEY The unknot who? *italian voice* the ona two tri

I don’t think I’ve ever watched a video that I completely understood while, at the same time, I had no idea what you were talking about. It’s like a miracle. Fascinating subject!

I'm in awe at someone having the patience and skill to visually tie thousands of knots and distinguish duplicates. Thanks for another great story wonderfully told.

@bernardfinucane2061

10 ай бұрын

It is truly mind numbing stuff. Source: I tried to figure it all out a few decades ago.

@cartoonsinkannada1186

10 ай бұрын

My headphone wires form the most complicated knot in the world

@albertosalazar7968

10 ай бұрын

I did not expect a video about Knots to be that interesting.

@LRYMUSIC

10 ай бұрын

@@cartoonsinkannada1186 especially if you put them in your pocket/on your table un-knotted

@wZem

10 ай бұрын

And all that work without having an aim or purpose in mind at first. Just to broaden humanity's knowledge.

There is a certain demographic that I hope never finds this extended tribute to knots

@JesseJames_37

11 ай бұрын

It's me. I'm the demographic. 😡

@multicoloredwiz

11 ай бұрын

I don't like this cuz u have a tails avatar and know exactly what u mean

@hmm_okok

11 ай бұрын

hah, tough job you'll have trying to stop boat owners from learning this one, your hopes are for naught they have known this for decades

@koifish528

11 ай бұрын

The boy scouts 😱

@Barnil_JN

11 ай бұрын

Knot

People from Gordion: That's knot how you're supposed to do it. Alexander: I do knot care.

"Not knot" "Who's there?" The *Unknot*

@Penguingot

Ай бұрын

reminds me asdf movie for no reason

As a Ph.D. student in algebraic topology, I am glad to see that different areas of topology are finally getting the attention they deserve.

@daniel11shauri

11 ай бұрын

So you deal with stuff like mobious strips, klein bottles and 4-D toruses

@CharlesPanigeo

11 ай бұрын

Very cool! I'm a graduate student in math learning algebraic topology. I'm working through Hatcher's right now. Its interesting enough right now, so we'll see if I end up focusing on algebraic topology.

@watcherofwatchers

11 ай бұрын

As a non-Ph. D student in anything, topology and knot theory is, and has been, a very popular subject on science and mathematics themed channels for a very long time. It isn't "finally" getting the attention the subject deserves - you have only just now discovered it, apparently. Those are two very different situations.

@logankennedy7082

11 ай бұрын

@@watcherofwatchers I have not "just now discovered knot theory", however, I was merely trying to say that I am happy people are presenting it to the general public so more people can learn about these fields of mathematics.

@vwlz8637

11 ай бұрын

​@@watcherofwatchersAs a non-phd student in anything, you should let them talk

Although I wouldn't in a hundred years choose to study knots, it never fails to inspire me how people take up these causes, pushing esoteric fields forward for nothing more than a pure love of the game until eventually their discoveries can be tied to other fields to make important scientific advances. Science really is humanities most collaborative sport.

@anthonymartial2832

7 ай бұрын

The wonders of a deterministic universe People think its intelligent design, but it actually is thermodynamics, entropy, and life trying a better hand at making more "complex life" for energy dissipation

@persona2grata

7 ай бұрын

@@anthonymartial2832 I've heard that theory before, that life is an outcome that naturally extends from energy dissipation/entropy maximization, although for me it's still mostly theory. I don't think we've gathered enough information to know yet whether life is as prevalent in the universe as that theory would suggest. But it is a fascinating idea though.

@maxweinbach3996

4 ай бұрын

@@anthonymartial2832what if thermodynamics is by design?

@wilhelmschroeder7345

4 ай бұрын

@@anthonymartial2832 Them's fightin' words, podnuh.

@sendnoods

4 ай бұрын

@persona2grata why knot study knots?

Not calling the unknot a notknot was not the best choice.

@gheckolock81

14 күн бұрын

Why not?

@1aur1aurdinosaur

8 күн бұрын

@@gheckolock81i see u meant.. why knot?

@gheckolock81

8 күн бұрын

@@1aur1aurdinosaur knot really.

We need a follow-up video on what all this knot theory means regarding conquering the practical, real-world, problem of detangling a mess of wire/rope/line the most efficient way possible.

Math is so incredible. People just study a phenomenon and it reveals a language that describes the world in ways we didn't know of before. Wonder what fields of maths exist that we have yet to study

@sledgehammered1765

10 ай бұрын

I wonder if there is any phenomenon which just gives random meaningless solutions the closer you study it

@THE_ONE_Mx

10 ай бұрын

Every natural phenomenon can be reduced to mathematical precision. Plato and his world of Ideas are the true foundation of the world. 💯

@anthonydavidrafaelhoyos8328

10 ай бұрын

​@@THE_ONE_Mxy el caos es un cuento chino?

@irokosalei5133

9 ай бұрын

Maths is all definitions so fields are potentially infinite. Knots being an actually studied one is especially tied to its relevance in physics.

@prasunbagdi6112

9 ай бұрын

@@sledgehammered1765 chaos theory

Fun fact: making sure you're doing a square knot instead of a granny knot is also very important in surgery. They are taught to alternate the way they secure off the suture.

@vigilantcosmicpenguin8721

10 ай бұрын

I wonder if surgeons are better at tying their shoes.

@tumekeehoa3121

10 ай бұрын

My understanding is the suture knot is similar to a square knot but with an additional 'under' at the first step so right over left and under and under, left over right and under. I read it was supposed to reduce scaring but looking how it performs it appears to lift the added knot mass off the surface perhaps making for easier removal. I suspect surgeons use a granny suture knot based on biological sex and age under... just for giggles.

@jeffthomson4223

10 ай бұрын

@@tumekeehoa3121 The start of the 'surgeon's knot' is three twists so that it holds tension better while we get the next layer in place- or at least that was the explanation given to me. There's a lot of different types and thickness of suture material, but it's common for it to be smooth and springy, and you need to make sure it knots tightly around the blood vessel and not as a pointless loop with no tension.

i love that I never know in which rabbit hole I am going to fall into when I watch your videos but it`s always incredibly fascinating! Thank you for your valuable content!

@threeriversforge1997

2 ай бұрын

Next thing you know, you're studying Marlinspike Seamanship and ordering your very own copy of the Ashley Book of Knots. It's a deep rabbit hole, indeed!

When I want to discover new knots, I just give an iPhone charging cable to my wife.

Derek has been killing it with the math videos lately

@Leonardo-Lenguaje

11 ай бұрын

@repentandbelieveinJesusChrist2😂

@newolde1

11 ай бұрын

​@repentandbelieveinJesusChrist2repent for your illogical blasphemy and math will save your soul! Abacus 2:77,232,917-1

@johndrakeethenred728

11 ай бұрын

@repentandbelieveinJesusChrist2 AMEN!

When it comes to avoiding knots in headphones, my easy way that I have used for years is to simply not allow the endpoints into the storage case. If it is a zippered pouch, just leave the earbuds and the plug hanging outside the zipper. You can just grab the entire length of cable and shove it in the zipper pouch as a massive wad if you want, just leave the ends outside the zipper, and you will have no knots. Same story if you put them in your pocket. Just leave the ends sticking out of the pocket and you get no knots.

@blablablablablabla6835

10 ай бұрын

You sir are legendary. I read ur comment when this video reach exactly 3:46 minutes. I tried this today when you post this, an entire day I follow ur instructions (I have a retro tape walkman) trying to have a walk the entire day in my town, visiting a caffe, meeting friends, work outside, bringing 4 cassette album from 2 legendary musician Daft Punk and Santana. And not a single accident of tangled knots occurred. Bless you for ur wisdom. Now I can resuming to watch this video to completion. Much love from Indonesia. 🎉🎉

@Skobeloff_Phoenix

9 ай бұрын

I was going to comment something like "imagine not using wireless" But although I myself use wireless, even as the annoying internet troll that I often am, I just simply cannot deny the absolute genius of this.

@entropymaster2012

9 ай бұрын

Proof: As was explained, if the knot does not involve the ends it is an unknot!!

@kephalopod3054

9 ай бұрын

Or maybe you find not.

@Skobeloff_Phoenix

9 ай бұрын

@@kephalopod3054 I think what you meant to say was: "Or maybe you find KNOT" I'll show myself out now....

This is why everyone should have a copy of the Ashley Book of Knots in their library. Study 'marlinspike seamanship' for even a few days, and you quickly see how important knots are, and how seemingly complex knots are often just simple knots built upon each other. Clifford Ashley was documenting knots before knots were cool!

I really enjoyed this video. Knots have fascinated me from childhood. I figured out on my own how to tie certain knots that amazed and frustrated others. I especially liked making varieties of slip knots because people would be trying to figure it out, and I would pull and the complex knot would vanish like a magic trick. And I would laugh and evil laugh. I was a weird kid.

I’m so glad that veritasium is making more and more math videos.

@TotalDrganMania

11 ай бұрын

Repent to these nuts in your mouth@repentandbelieveinJesusChrist2

@LetMeSoloYKS

11 ай бұрын

​@repentandbelieveinJesusChrist2Jesus is a femboy and screams uwu all over the place

@derpyslurp8779

11 ай бұрын

​@repentandbelieveinJesusChrist2this literally has nothing to do with religion nor does it deny it. In fact, it's kind of like admiring the beautiful universe God created and its intricacies.

@esomos_org

11 ай бұрын

​@repentandbelieveinJesusChrist2you managed to comment the least interesting topic for this comment section.

@rraaiin

10 ай бұрын

@repentandbelieveinJesusChrist2 i want to enter jesus' gates 🥵😫😩😳

This video changed my life. I don’t have to double knot my shoes now. I tied them the other way and they didn’t come undone all 12 hours running around at work. Amazing.

@RichardG.S.

10 ай бұрын

Bro same. Now i dont have to tie my shoe every 100m 😂

@misterz7951

10 ай бұрын

Same here 😂

@RandomUser2401

10 ай бұрын

both methods are just double-knots, and nobody here knots their shoes this way at all

@mam0lechinookclan607

10 ай бұрын

My knots wont open since 2021, i just slip in and out of the shoes. I have won in life.

@dfmayes

10 ай бұрын

I have demonstrated to a friend that his shoes are tied wrong and how to correct it, but he refuses to tie them correctly. 😫

Thanks for what you do. This is insanely informative and well presented.. Very informative and entertaining!!.

Is this the string theory that I have heard so much about?

@nilarghyachatterjee5392

Ай бұрын

not really tho

@username8644

Ай бұрын

No it's not. String theory is a theory that tries to explain quantum mechanics and relativity together (this is theoretical physics). Knot theory is a pure mathematics topic, which is a subfield of topology. Edit: they are completely different subjects under different fields. Also knot theory is a certainty, the math has been proven. String theory is just a theory and way of viewing the physical world.

@nilarghyachatterjee5392

Ай бұрын

@@username8644 bro he knows hes just joking 💀

In southern India, everyday women create knot diagrams called 'Kolam' in their front porches . The more complicated the knotting the more skilled the person drawing it. This video is when I realized that many such Kolams are actually super complicated, challenging to create, un-knots! So cool to know there is a whole sub branch of math around this! Unknowingly it sounds like these women have been practicing Reidemeister moves on a daily basis in attempts to create ever more complicated knot diagrams! And instead of the p-colourability, these Kolams care more about the areas between the loops which are denoted by simple points. The points are actually laid out first and the knot emerges as a line diagram around them .

@PMA_ReginaldBoscoG

11 ай бұрын

Are you a math professor?

@nichiyes26

11 ай бұрын

That's super interesting. Now I have to go read more about what those women are doing and what they know. But also, the description in your last paragraph sounds just like how my knot theory research represents the knots with graphs (graph theory kind), nodes representing the loops and the lines represent crossings. I wouldn't be surprised if someone in math academia lifted the ideas from the Kolams.

@PMA_ReginaldBoscoG

11 ай бұрын

@@nichiyes26 exactly what I thought

@saurav406

11 ай бұрын

Thanks for sharing... 🇮🇳❤

@akarshitdhiman7618

11 ай бұрын

bro whattt......!

Just to avoid potential confusion for those folks moving to a squar knot for tying their shoes, its actually isnt just clockwise or counter clock wise, it depends on how the first overhand knot you make is tied, whether its the left side going over then under or vice versa. It also depends on if you make the loop on the left or right side. So check to look if it actually appears like a squar knot to confirm.

@kevinj9059

11 ай бұрын

Bingo! It was so frustrating the Derick didn't say this. Now people that were tying their shoes correctly may end up listening to his advice and getting granny's.

@anders.hovmoller

11 ай бұрын

I cringed every time :(

@Fredman2410

11 ай бұрын

I'm left-handed, and was congratulating myself because my second knot was correct, then realized that my first wasn't. I have a reverse granny!

@wmlindley

11 ай бұрын

I find the simplest way to remember is to the first half "forwards" and the second half "backwards." a/k/a right-over-left, then left-over-right.

@kostnis

11 ай бұрын

THIS!

This is the most complicated video I've ever watched in this channel. I didn't Understand much but after seeing that our everyday knot can be so interesting to great scientific minds I get excited. 😯

This is amazing. I am extremely happy, that this video found me today. I've loved knots since childhood. I was tieing knots and drawing them in my album for hours, I've tried to compare and replicate them. Is there any books abouts knots? I really want to explore its mathematic and scientific side

My great aunt (Mary Gertrude haseman) was one of the founders of knot theory (after tait) (incidently her brother got his ph.d under Hilbert). She worked out a subset of 12 crossings in the early 1900w. After ph.d she became a housewife and knots were ignored until around the 80s mostly

@wyvern4597

11 ай бұрын

broooo thats so crazyyy

@314calls

11 ай бұрын

Wow I've heard about her , so cool man😁

@αβγδε

11 ай бұрын

hey I have a question is someone willing to answer it?

@IvanTube0

11 ай бұрын

​@@αβγδεdont ask to ask

@VivekYadav-ds8oz

11 ай бұрын

Do you ever have Impostor Syndrome or feel pressure to do better or on par with your ancestors? Very cool family tree you've got there but I know I would've felt depressed trying to live up to it.

My initial reaction was "So what? I wear slip-on shoes.". I then became slightly interested by the mathematics underlying knot theory and ended up floored by the practical applications of this area of study. An excellent video as always.

@mrmicro22

11 ай бұрын

I recommend spray on shoes.

@rationalactor

10 ай бұрын

Velcro

This is amazing Im so glad I watched this till the end to see what it could be used for. It’s a lot to digest and I have a certain problem concentrating but I made it. Thank you for posting.

@williamcorcoran8842

2 ай бұрын

You don’t have a problem. This was knot fun!

Your video was literally amazing. Thank you for sharing such incredible knowledge. After watching your video, I got interested in the relationship between the knot theory and materials in chemistry. So I tried to find some more about it, but it was hard. Could you recommend some good resources/researches/websites/articles or whatever related to it? Thank you in advance!

Oh man, I got excited when Conway showed up. It's fascinating every where and every time he shows up. In this one he just pops in, does something in an afternoon that no one had done before and then we don't hear from him anymore. I'm very grateful for all the footage we have of him.

@soyoltoi

11 ай бұрын

He was a true polymath albeit mainly in math

@endruv_2287

11 ай бұрын

I said out loud "Yeah! Conway! Let's go!"

@ericaeli3807

11 ай бұрын

He died of Covid :(

@TheQuicksilver115

11 ай бұрын

Conway is one of the most brilliant minds to ever walk the earth 🙌

@ericaeli3807

11 ай бұрын

@@TheQuicksilver115 his game of life, for me, put the lid on the coffin of Creationism

Veritasium always makes a knot into my brain with his genius explanations, but I did not expect it to be literally about knots.

@EEEEEEEE

11 ай бұрын

E‎ ‎ ‎ ‎ ‎

@vigilantcosmicpenguin8721

10 ай бұрын

But maybe your brain is actually an unknot.

@ThorstenStaerk

10 ай бұрын

@@vigilantcosmicpenguin8721 lol this would explain why I don't know understand your comment

Hello internet, welcome to Knot theory

@random_number_sequence

2 ай бұрын

thanks for the head up, michael stricuvagzki chalapel trovuatskyee

I can't help but watch every one of your videos... you're like the math version of watching a run clearner clean a rug. I don't understand how you do it, but I love the process.

Very informative and entertaining!!

@islahehukumat-gz8rg

11 ай бұрын

Nice

@FahadMalik-rm7ik

10 ай бұрын

Nice

@jiteshkhyani4371

10 ай бұрын

Nice

@fredrickkipyegon6322

10 ай бұрын

👍

@robinsononate87

10 ай бұрын

Good

As a knitter and never heard of this is so fascinating. As someone who hated math but use basic arithmetic for knitting; but this field of math wants me advanced my math knowledge and thinking.

@Sniearrs

11 ай бұрын

right! i do crochet but when he mentioned slip knots I pointed at the screen and said "oh I know that one!"

@user-is8pq6we9v

11 ай бұрын

zzz

@Ostrolphant

11 ай бұрын

​@@SniearrsI guess crochet (other than any terminating knot) is just one big unknot!

@JesmondBeeBee

11 ай бұрын

​@@OstrolphantI was just thinking that. Crochet, many knots but also unknot.

@xzavaire1

11 ай бұрын

Ayye what up my knitta

I have no idea how you make these subjects fascinating but it is working flawlessly

I'm not a matematician with fine expertise on knots... but i know something about storage of audio matherial. I could clearly hear those hearbud's chord screaming for mercy! The first thing you want to avoid is twisting cables, that's why it is most commonly stored in circular or "8" shape takeing care to gently twist it between your finger while coiling up so the core is kept straight. To prevent further mess there are chord holders or just use some tape. Confineing in a restricted area as a bag is a good advice anyway.

Knot theory, and particularly the Alexander- and Jones polynomials, were my first foray into mathematics research in 2013. So happy to see algebraic topology getting a spotlight on your channel, and the incredible applications!

20:50 In grad school I took a class with Jozef Przytycki on Graph Theory and Knots, and he was also on my oral exam committee. It's so cool to see him pop up in a Veritasium video! This has to be one of the best, if not THE best, video on knot theory on KZread. Amazing job as always, Veritasium!

@brokenjet6134

9 ай бұрын

That's awesome

Thank you for making such good videos guys it’s like my attention span length is getting better than ever

Ending the video with this quote was immensely satisfying and tied (!) everything together so elegantly.

@anoirbentanfous

4 ай бұрын

Absolutely! Well noticed by you and that's a great pun noticed by me

@cameronschyuder9034

4 ай бұрын

That ending quote was quite inspirational - a great mood lifter and motivator to pursue knowledge

0:00 Intro 0:24 Knot Theory 1:17 What is a knot? 3:40 Knot equivalence problem 4:32 Other famous knots in history 5:20 Vortex theory of the atom 8:25 On Knots paper (the first seven order of knottiness) 9:52 Reidemeister Moves 10:51 Haken’s Unknot Theorem (and upper bound and crossing number) 13:01 Knot invariant 14:13 Tricolorability 16:37 p-colorability (and polynomials) 21:34 Perko pair 22:32 n-crossings knots 24:21 Molecular knots 28:31 How You Should Knot Your Shoes :) 29:40 Doug Smith & Dorian Raymer experiments 32:00 Knot Theory's Potential 33:15 Outro (and video sponsor Brilliant)

@himx_3

11 ай бұрын

Bro please tell me how to knot my shoe clockwise or anti clockwise

@_dread

11 ай бұрын

28:31 ^_^@@himx_3

@esiarpze7908

11 ай бұрын

thanks!

@marupinto9390

11 ай бұрын

Thanks

@bonnzy1

11 ай бұрын

You forgot @ 6:37 the bong on the windowsill

I was very surprised when Derek, a scientist, missed a very important piece of the shoe tying equation. You would only tie your shoes (bows) clockwise if you first tied the base knot counter clockwise, otherwise you are just tying a "lefthanded" granny knot. Clockwise or counter clockwise makes no difference, a proper knot involves one of each. Eg. left over right + right over left = good knot. You can't just finish correctly if you've started wrong in the first place.

@faroukhashim3862

10 ай бұрын

It's possible he presumed a certain start condition for the sake of clarity. A,B or B,A but not A,A or B,B

@TimurIskhodzhanov

10 ай бұрын

Exactly! When I learned about square vs granny knots, it was actually easier for me to flip the base knot than the final knot motion.

@FedericoMattiello

10 ай бұрын

Thanks, I was looking for this comment. Might be confusing otherwise.

@timweber4605

10 ай бұрын

I knew the difference between a granny knot and a square knot as a kid. In college, a girlfriend pointed out that I was tying my shoes with a granny knot - that was a real blow to my manhood. I couldn’t seem to change how I tied the top knot, but it was relatively easy to change the bottom knot and now I try my shoes with a square knot even though I did not change how I actually tie the bunny ear part.

@douglaswolfen7820

10 ай бұрын

​@@faroukhashim3862except that's only clearer if everyone else assumes the same starting position. And that can be pretty bad communication if you don't make the starting position clear A week or so after people watch this, they're not going to remember the details of the diagrams or the animations, but they'll remember that he said that clockwise knots stay together better than anticlockwise knots. That's not a great lesson to teach, IMHO, not without the clarification

Many of your videos i watch and enjoy your explanations yet only begin to grasp the concepts. Some I’m still clueless yet i love to know how much i don’t know about the world. Thank you for them all.

“This is easily the largest number we have ever shown in a video” wow that’s how you convey scale right there 🤯

As a budding molecular biologist, I know think that it is essential and indeed impossible to venture into the field without having a thorough grasp of knot theory first. Thanks Veritasium, truly eye-opening.

As a contractor and a math enthusiast, I quickly learned that isolating the two free ends of a long extension cord would make any wrapping process into an unknot. Many of us know the braid, which I believe is a type of sailor’s way of keeping a rope from tangling. I also knew IT people who’d use similar strategies for long cat-5 cables. It would be interesting to me to see how tradespeople and sailors had long ago “discovered” these theories by trial and error. Incidentally, I’ve tied my shoes with a square knot since I was a teenager, and my young kids know the difference between the granny and square. When they try to teach their friends they’re usually met with blank stares. 😂

@posteluxducxions7531

11 ай бұрын

Chain Sinnet ;)

@estranhokonsta

11 ай бұрын

Great video as usual from this channel, but sometimes he does make some more controversial proposals. His idea at 31:23 of twisting the headphone cables are kind weird to me. It is the last thing i would do at work to avoid knots in a electrical cable. Just imagine how much the wires inside the cable will suffer with everyday twist and untwist. The control of the ends of the cable and a good "snug space" to keep it should be the main priorities, to which each of us will add their own learned experience.

@7890tom7890

11 ай бұрын

​@@estranhokonstathe practicality within certain contexts is questionable when other properties need to be preserved, like stress on an electrical cable, nonetheless, whatever works with the minimal applied work/force is the definition of mastery in a given domain. Some task may require these higher level of application, so judge each task as individual and use as little skill as required to achieve the desired outcome. A simple metaphor I use is Jimi Hendrix's guitar playing style, effect the maximum amount of change, with the minimum work required, the graph at the end of the video (the knots in a box experiment) outlines a representation of the point of diminishing returns.

@lastloke

11 ай бұрын

​​@@7890tom7890a rudimentary explanation I believe is required at this point in order for most of the others to be able to keep up and utilize the information with which you were projecting for them to necessarily come up with the plan for them to have the same kind of outcome that is beneficial to themselves that previously wasn't necessarily beneficial to them based on the Simplicity of the explanation of such programming however there are ones that will be able to interpret to them later down the road I'm sure so hopefully the commentary at this point is in a complete loss but will be remembered and click in someday.

@brcoutme

11 ай бұрын

Huh in the Boy Scouts around here every kid learns and teaches the difference between square and granny knots at the most basic levels. It's all over the literature and even symbology in scouts, I thought it was pretty universal. Although, turns out that tying the 'sheet bend' is much stronger in many circumstances, there are some where it can not be used and the square knot can still shine.

You should really make a video on how you make videos. Each time I'm most stunned how easy it is to follow the logic. Chapeau!

@movingparticle3835

5 ай бұрын

I'm a teacher and this is a problem I'm struggling with each and every day. And I'm not even a native speaker.

A shot for everytime he says knot 🎉

I’ve been a rock climber for over five years and this was a great video. I’ve spent a lot of time wondering about knot mechanics. and you spent a lot of time explaining knots, and I really appreciate that. I learned a lot.

@DNA9099

11 ай бұрын

I too, learned a knot.

The research for your videos must be absolutely insane! Not to mention figuring out and understand those scientific papers to really break it down for us

Ever heard the one about the rope who really wanted a drink but when he finally found a bar the bartender said, "Sorry buddy we dont serve ropes in this bar" So the rope goes outside messes up his hair and ties himself in a knot. When he went back in the bar and ordered a drink the bartender said, "hey buddy aren't you rope?" The rope said, "No, Im a frayed knot!" 😊

Working with paracord while i watch this. Ive been so obsessed with learning new knots lately so this vid hits the spot, and may explain why people like me find them so fascinating.

The fix for turning your granny knots into reef knots is really simple. When you start to tie your shoes, pay attention to which lace you place over the other. This is a habitual action and people do it the same way every time. If your habit is to start by placing your left lace over the right, simply reverse that step, go right over left instead. Then just finish tying your knot the same way you always do. Your hopeless granny knot will become a perfect reel knot. It may take a few times of consciously reversing that initial step, but it will quickly become your new habit and your shoes will never come untied again.

@EEEEEEEE

11 ай бұрын

‎E‎ ‎

@susanivy3619

11 ай бұрын

Your E comments are getting E-nnoying.@@EEEEEEEE

when I was six and extremely bored, I had a habit of tying hair bands into as many knot combinations as I could think of. I also realized that they behaved differently than if I tied a knot with a normal string, and I've always been curious to find out why. This was super informative and kept my attention the whole way through, great video!

@circuit10

11 ай бұрын

So if you never broke the bands I guess they would all be unknots?

@EEEEEEEE

11 ай бұрын

E‎ ‎

@literalphoton

11 ай бұрын

Facts@@EEEEEEEE

"You can prove if the knot is the unknot or not"😂 i love it. Great video!

I did knot think that I'll ever be interested in a video about this, nice job tying it all together

Making something as potentially boring as knot-theory interesting is no small feat. You, sir, are simply a truly gifted educator.

@AkamiChannel

11 ай бұрын

Knot theory is interesting. It may have important connections with quantum field theory and unifying physics.

@Hanstein.

11 ай бұрын

except those are not knot

@mischadebrouwer9855

11 ай бұрын

Nevertheless, I fell asleep very quickly while watching this video.

@kapoioBCS

11 ай бұрын

Knot theory is anything except boring ffs

@brownie3454

11 ай бұрын

he’s not an educator he’s a salesman

Its honestly incredible how much your videos have improved in recent years

As always, I learn so much from your videos. Thank you for sharing!

Mindblowing how you can make such a random Video, make it very good and connect it to like everything in the universe.

when you realise there is not an impostor at 27:49...

@jbellfield

11 ай бұрын

You might like Polymatter, did a video on the economy of Delaware and gift cards the other day.

@savagepro9060

11 ай бұрын

He has a research team, come on!

@rasmusturkka480

11 ай бұрын

@@savagepro9060 I really love how he finds out these facts all by himself while his research teams claims all the credit

@Roid33

11 ай бұрын

I don't know how someone can make a half hour long video about knots and still make it entertaining but he does it anyway, also toilet gang

@diegomondaca7321

11 ай бұрын

Essential craftsman has a good video o knots and string for construction use but this is far more detailed

Tip to get used to tying shoe laces stronger: don't change the complex movement that finishes the tying, but the first simple knot. The effect is the same Happy side effect of the secure knot is that the loops stay perfectly perpendicular to the shoe so it's also prettier

@richardjones38

11 ай бұрын

The added advantage is that when you untie your shoe laces, as long as they're not too short, the 1st knot can often remain tied for next time, so you don't have to remember to tie the 1st part 'backwards' relative to what you've spent all your life doing - just tie the 2nd part which requires the more complex movement as you've always done.

@manolismarinakis8444

11 ай бұрын

@@richardjones38 sadly my laces are short(or I have to undo them in hiking boots) but after a short amount of time, even though the first knot still feels "backwards" I do it without thinking it

@SoonRaccoon

11 ай бұрын

I find the easiest way to tie a square knot in my shoe laces is to use the "bunny ears" method, where the second knot is just an overhand knot of two loops. Then, tying your shoes is just two overhand knots. Make sure to tie the two overhand knots in opposite directions, and you've got your square knot.

@richardjones38

11 ай бұрын

@@manolismarinakis8444 I spent a couple of months trying to teach myself to tie the 2nd part of the knot 'backwards', but still regularly kept tying it the way I always have. This was when wearing boots in the winter, so I had to re-tie both parts each time. Then when the summer came around and I wore lighter shoes I noticed I often left the 1st part tied without even thinking. I guess my Vans just had the right length laces, so reversing the 1st part if the knot effectively 'lasts longer' between my forgetting and tying it the way I've always done. Once I wear boots in the winter again it'll be interesting to see how often I forget and tie it the old way!

@my_dear_friend_

11 ай бұрын

So, the version where the bow tends to aligne lengthwise with the shoe is the less secure one?

The fact that the intro alone made me like the video is crazy

For the shoe tying thing it's about the direction of tension applied to the knot vs the direction the knot tightens or loosens upon

It's not whether you counter clockwise or clockwise tie the knot. It depends on the first step and whatever way you cross the strings, it must be the opposite in the second step.

@YoeyYutch

11 ай бұрын

Plus if you've been tying granny knots your whole life, it's easier to reverse the first step. It's a tad clumsier to reverse the bow.

@magnushultgrenhtc

11 ай бұрын

​@@YoeyYutchExactly what I did in my very late twenties after realising why my shoelaces didn’t want to stay in place across the shoe. ("Have I been doing it wrong for twenty years? Yes, I have.") When you learn to tie your shoes, it's going to be mostly random if you happen to start doing it wrong or not.

@UA.Kharkiv

11 ай бұрын

Also use this technique for 10 years

@nicholascurran1734

11 ай бұрын

Upvote

@jowjor

11 ай бұрын

and you know you succeeded if the two loops are parallel to the laces.

A buddy of mine is studying knots in projective spaces, called like “knots in the shadow world”; he explained that you can’t necessarily get a well defined projection onto the plane for them (over/under crossings could be the same so you don’t really get a “drawing” of the knot in way that works well).

@lemurpotatoes7988

6 ай бұрын

Is the idea to see how much additional information you need to specify to recover the original knot from its projection?

@JP-iq8td

4 ай бұрын

This is a good start. I suppose there need be one more input to determine if: over/under. The knot(plot) thickens...

@lemurpotatoes7988

4 ай бұрын

It reminds me of the vague bits I know of in spectral matrix theory.

@Kaiveran

3 ай бұрын

Does this have anything to do with virtual knot theory? There's similar things going on where they draw knots on non-simply connected surfaces of genus 1+2, which can't be "translated" to the plane without virtual crossings.

@galoisdeer2660

3 ай бұрын

@@Kaiveran I’m not sure tbh, but I suspect not.

The square knot you showed towards the end is (at least in Germany) used in Firefighting. Its main Use is to connect two ropes together because it pulls itself tighter when pressure is applied

Excellent video as always. I'm pretty much always learning something new in every video you make, thank you for that. Now about the tying you shoelaces bit......The clock-wise or counter-clock-wise way isn't really the point. Let me explain. When tying your shoelaces what you essentially are doing is tying a two knots. But by not pulling any further at the point where the loops are about as long as the remainder of the shoelaces you end up with the laces in a nice looking bow. Continue to pull the loops all the way until the end of the laces are through and you'll have made either a granny knot or a square knot, and are left with long shoe laces again. Whether you'l have to go clock-wise or not when tying the bow-bit actually depends on the first knot you've tied. Like you explain in the video around 29:15, in essence you wanna ty a square knot because that doesn't loosen up as easy. When tying a normal square knot you go Left over Right and then Right over Left, or vice versa. As long as you counter the first knot when making the second knot you'll end up with a square knot. So depending on how you tie the first knot, let's say the base for the bow-part, you need to go clock-wise or counter-clock-wise with the bit that forms the bow-part in order to get a square knot at the end. If during your day you have to tie your she's again you'll will have made a granny knot the first time which loosens up while you are walking. Once again thanks for the all you have taught me in all of your videos.

I never knew knots would be so complicated and diverse in use! It is great to learn about their different uses and I am excited to see what the future could bring for knots!

@tramnguyenduy954

10 ай бұрын

ok

I’m surprised that knot theory - a branch of math that is “knot” so easy to understand- can be explained so well! Mad respect

@voidstarq

10 ай бұрын

"Hey, what is @veritasium's new video about?" "Knot Theory." "Cool, neither is mine."

Respect to the guy who used his several computers to find 300+ million knots instead of mining bitcoin in 2020

that graph showing how many knots that certain prople discovered kept blowing my mind over and over again when more people were added

I seriously love this channel, seems like these videos take a LOT of effort to build but the quality and completeness and depth is unmatched all in one place.

I love how often seemingly trivial intellectual pursuits lead to great discoveries

@SinHurr

11 ай бұрын

Dreaming of a time when more people have the luxury of idle thoughts, that we may stumble into more greatness in the future.

@calholli

11 ай бұрын

I have one for you: What causes phase change? We know that water freezes at 32" F.. but Why? Figure that one out and you create a whole new field of science.

@juancuelloespinosa

11 ай бұрын

@SinHurr that's been the benefit of technology since the beginning. You no longer have to manually till the land. just have an ox/tractor help you That's how the field of philosophy, and then science, emerged

@juancuelloespinosa

11 ай бұрын

@@calholli idk if I'm misunderstanding your question, but that sounds like the states of matter

@Szajba1762

11 ай бұрын

@@juancuelloespinosa I think his point was that when scientists asked the question "What causes phase change? We know that water freezes at 32" F.. but Why?" (As in changes trough/into states of matter for given materials), and they really tried to get to the bottom of it, they basically "Created a whole new field of science".

This is really insane. Thank you for creating and sharing these contents. I am enthusiastically following your Media...

Untangling and unknotting has always been my fav hobby since i was a kid cuz its so much intellectually stimulating for me, but i always thought that this interest is the most useless thing about me. But recently I started making macrame again, and my interest was piqued, again, thats what led me to this video….. its a beautiful explanation, tysm❤️

OMG it is uncredible that something so "common" like a knot would help us to develop ENORMOUS changes in science and technology like that. That's the reason I love science.

The reef knot is one of the easiest knots to untie one handed. Grabbing one end and giving it a sharp jerk turns the other end into a hitch which slides off thestanding end. It's why it's used to reef sails; you can keep to the old adage: one hand for the ship, the other for you.

@henrikoldcorn

11 ай бұрын

Can you tie it one handed effectively? I can sort of loop two ropes and end up with a reef, but it won’t keep the rope taut, so it’ll be tied slack.

I will save this to watch later. It is late, and I am knot following along very well.

One of the most interesting videos I've seen in a long time. Frankly, the math goes WAY over my head. I'm not nearly studied enough to understand the polynomial equations, at least. Still, the premise is so intriguing for the fact that it proves with math that there are true answers to a seemingly impossible question. And, honestly, if there was ever an application for which quantum computers are best suited, this may just be the one. But what would be even more exciting is if they can't solve for very large prime knots. Because the equations which form them could become the basis of future encryption the way large prime numbers are today.

30:29 Derek masterfully sneaking in an alibi for all those baggies he’s stashing

@AndresFirte

11 ай бұрын

Funniest comment I’ve seen so far in this video

@cameronvanatti6629

3 ай бұрын

Came looking for this comment 😂😂😂

I really liked how this video shows the benefits of "knowledge for knowledge's sake". That something with no obvious practical application can be worked on for centuries, and suddenly a breakthrough happens that turns the previously "useless" knowledge into something potentially world changing.

@warriorscholar41

9 ай бұрын

I've been telling my students since forever that "no knowledge is wasted"

people who use double bunny ears 🗿

The knot in my back after sitting for 8 hours at work has got to be a new discovery

This is such an inspiring example of the value of pure science and long-term benefits of pure intellectual curiosity. I wish this kind of story could land in the hearts of more people. The survival of our great grandchildren's civilization may depend on supporting today what seems to be pointless navel gazing.

For everyone that has their shoelaces untie throughout the day... I can't recommend enough learning to turn your knot into the square knot. It'll feel weird at first, but will change everything. The easiest way to do this is to switch the direction of the first tie to the opposite way. So, if you feed the end one way on the first tie, instead switch it to the mirrored version by feeding the opposite end through using mirrored hand motions. Then, tie your normal second knot because that is the more complex one.

@kylemac8672

11 ай бұрын

Left over right, right over left

@rileylucas9328

11 ай бұрын

Okay, but I do the loops in my shoe laces first, then the cross over knot, so which way should I switch them?

@brendonwood7595

11 ай бұрын

@@rileylucas9328 do the first cross unnaturally, the reverse of what you usually do

@Rubrickety

11 ай бұрын

I posted virtually the same comment before seeing yours. Derek didn't really make clear that the issue occurs between the "substrate" and the loopy part.

@longebane

11 ай бұрын

​@@rileylucas9328what's the point of doing the overhand knot on top of the slip knot

The Tricolouribility move to solve some part of the knot problem was just genuinely genius

I've been obsessed with knots for years. And so I saw the title of this video and was like "yes!". Then it got to the number. 352 million something. My thoughts? I better start taking care of myself so I can live longer to master them all.

31:24 For every twist you introduce, you also introduce forces that will eventually snap the thin conductor inside. That's why you should not coil an electrical cable, or a braided climbing rope, like you coil a 3- or 4-strand rope. For your headphones, just doubling and redoubling them to a convenient length and then putting a clothespeg on them is just as efficient and gives you more use from them before you break them. 😊

@SoonRaccoon

11 ай бұрын

A method I use is to wind my headphones in a figure eight. I don't remember where I heard about this, but since doing this, I can carry around my headphones in one of my backpack pockets without them getting tangled.

@saltygenes

11 ай бұрын

Twisting. Exactly, not tying. Tying produces knots. Twisting don't.

@DavidFrostbite

11 ай бұрын

over under roadie wrap

@Watchdog_McCoy_5.7x28

11 ай бұрын

@MmmVomit i use wireless and don't worry about a knotted mess of wires whatsoever.

@theondono

11 ай бұрын

Or you can learn to properly coil cables, something pretty much every audio technician get taught. By introducing opposing twists, the cable doesn’t accumulate axial torque. It saves the cable from trouble and it greatly reduces knotting, since most of it in headphones is from the coil twisting, not the ends going through the loop.

Derek got it wrong in the very beginning. The two ways of tying your shoe don’t have to do with clockwise or counterclockwise. It has to do with if you do the second crossing in the same direction or not. So like if you did the first crossing clockwise, do the loop part counter clockwise to keep the knot balanced and torques low. You can also do the first crossing counter clockwise if you want instead, as long as you do the opposite on the loop part. It will be just as strong.

@kd7wrc

11 ай бұрын

I was thinking the same thing! Glad someone else mentioned it!

@josh.00000

11 ай бұрын

He very clearly explains this in the video.

Haha I’ve been using that headphone trick since I figured it out in high school and was very happy about it! Cool to know there’s so much intricate theory behind it!

Great video, as usual. Minor note, 26:54 shows a paramecium, which is a eukaryotic single-celled organism, not a bacterium. It is unlikely that medically useful quinolones would affect a paramecium since their topoisomerases are likely to be more similar to ours than to bacterial topoisomerases.

I've started to lace my shoes like this ~2 years ago when I realized its symetry and aesthetism, but never paid attention to its tightness. Thank you for this great video, as always !

My all-time favorite knot to tie is the trucker's knot. My dad showed me how to form 2 trucker's knots in series when a lot of tension was needed over a long pull length. It's effortless to tie. It secures a load, and it can easily be untied even after great tensions are applied. One of my favorite books about knots is The Rigger's Apprentice by Brion Toss. It contains lots of useful knots and nice illustrations too.

So many great puns in this video: "For years after Tait's death, Little progress was made" ... "You can prove whether one knot is the unknot... or not"