How Knots Help Us Understand the World

Рет қаралды 284,416

Күн бұрын

Knots are everywhere in our daily lives, but a new branch of mathematics is taking things to the next level.
Hosted by: Hank Green
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Sources:
www.quantamagazine.org/gradua... Conway knot and sliceness
• What is a Knot? - Numb... Knot theory fundamentals
www.maths.ed.ac.uk/~v1ranick/... Knot theory fundamentals and applications
www.ias.edu/ideas/2011/witten... Knots for quantum mechanics
www.sciencedaily.com/releases... History and Uses
• Prime Knots - Numberphile Prime knots
• The Shape of DNA - Num... Knots and DNA
• Colouring Knots - Numb... Colouring knots
the-gist.org/2018/04/mathemat... Uses
Images:
commons.wikimedia.org/wiki/Fi...
www.storyblocks.com/video/sto...
en.wikipedia.org/wiki/Prime_k...
commons.wikimedia.org/wiki/Fi...
commons.wikimedia.org/wiki/Fi...
www.istockphoto.com/vector/dn...
www.istockphoto.com/vector/ma...
www.istockphoto.com/photo/bus...
www.istockphoto.com/photo/old...
commons.wikimedia.org/wiki/Fi...
www.storyblocks.com/video/sto...
www.istockphoto.com/photo/pre...

Пікірлер: 938

@JohnDrummondPhoto 3 жыл бұрын

When knot theory collides with string theory, you get tangled fishing reel theory.

@natrosenquist 3 жыл бұрын

So, instead of quantum mechanics, it's Quantum reels?

@TechBearSeattle 3 жыл бұрын

@@natrosenquist - "Quantum Reel" is the dance craze of the 22nd century.

@Vasharan 3 жыл бұрын

Tangled Fishing Reel Theory (TFRT) is just a grade school version of Tangled Christmas Lights Theory (TCLT). TCLT adds electromagnetism and quantum fuses.

@GreaseMonkey097 3 жыл бұрын

@@Vasharan Great content guys. Keep it up honestly. Sorry I couldnt offer more I'm high as balls.

@justlisten82 3 жыл бұрын

I guess you're knot correct

@thetalee117 3 жыл бұрын

"Can you knot?" "I cannot." "So you can knot." "I cannot knot."

@perterror2918 3 жыл бұрын

Who's there?

@danparish1344 3 жыл бұрын

I cannot understand you, but I can knot under Stan U.

@MK-fk4kp 3 жыл бұрын

Underrated comment..

@JohnDrummondPhoto 3 жыл бұрын

I cannot not knot.

@raythegardener 3 жыл бұрын

I'm thinking the trivial knots should be called "not knots" and the complex 4-D knots should be called "naughty knots". Thus the mathematical truism "naughty knots are not not knots". or not.

@Vonliktenstien 3 жыл бұрын

Masochistic Mathematicians is my next band name for sure.

@mzampell 3 жыл бұрын

How about Not Don Knot's Knotted Knitting Not? No?

@TheN0odles 3 жыл бұрын

It's just going to be abbreviated to M 'n M anyway lol

@SoulDelSol 3 жыл бұрын

Can my band the Sadistic Scientists open for you?

@mrjoe332 3 жыл бұрын

Would you like to go on a tour with the Psycothic Physicists?

@Ddub1083 3 жыл бұрын

Instead of having text song titles, your titles could be infinite series or infinite sum formulas. If I saw that tracklist, I'd listen for sure haha.

@yuricahere 3 жыл бұрын

"Will you keep the puns to a minimum in this episode?" SciShow writers: "Knot likely"

@kellanaldous7092 3 жыл бұрын

Hey hey, you better knot mention that.

@userbeans 3 жыл бұрын

Hank, the knotty professor

@IHateUniqueUsernames 3 жыл бұрын

You mean: "I'm afraid not!" (frayed knot)

@nedludd7622 3 жыл бұрын

Knotted knanotubes in this knotable Knotice.

@FCHenchy 3 жыл бұрын

The writers were quite knotty this episode.

@kayleighlehrman9566 3 жыл бұрын

"you've been doing this since you were five" a bold assumption, Hank

@voidhog1028 3 жыл бұрын

flashback of my childhood friend teaching me how to tie my shoes. "and the rabbit goes around the tree and down the hole"

@icollectstories5702 3 жыл бұрын

I remember my mother trying to teach me the Art of Knotting the summer before kindergarten. What confused me was how one could tie a knot that could paradoxically be easily unknotted. I eventually mastered the bunny-ears technique which no one remembers teaching me; I liked the symmetry, as left and right remained a struggle for five-year old me. I wish we had velcro back then.

@eli507 3 жыл бұрын

Short bus velcro kid. I didn't need the velco. I just got weird about not having velco. Spectrums are strange, man.

@whyamiwastingmytimeonthis 3 жыл бұрын

@@eli507 Hey, that's cool. Do you have any obscure interests or hobbies?

@mathiasbrio2105 3 жыл бұрын

yup 9 was the earlyst for me and i use "lock laces"

@mikeiancotter 3 жыл бұрын

As an arborist, paddler, farmer and simply someone who ties sometimes 100 knots a day... I appreciate this vid

@athena8794 3 жыл бұрын

Deckhand on a river cruise ship. Same here. Though I kind of object to the reference at 1:17 about a rope hitching a boat to a dock. A rope is only a rope aboard ship until it's given a job. Then it's a line. (Unless it's a bell rope, or a manrope, or a few other exceptions)

@BryonStice 3 жыл бұрын

@@athena8794 I love learning new things like that. My grandfather was a navy man and used to get very worked up that there were no boats on the ocean - things that go on the ocean are ships. :)

@svchineeljunk-riggedschoon4038 3 жыл бұрын

I also use a lot of knots :p

@svchineeljunk-riggedschoon4038 3 жыл бұрын

@@BryonStice Kind of correct, but all ships are also boats. There is no hard definition. Except for boats that go on other boats - lifeboats, dinghies etc are never called ships - all other ships can be called boats or ships. In the Navy they call anything smaller than a destroyer a boat, but that is not the standard definition.

@SimonVanliew26 3 жыл бұрын

Weird flex but ok

@SelectHawk 3 жыл бұрын

Why would you give up the opportunity to call a closed loop the "naught knot"?

@christopherbrand5360 3 жыл бұрын

A knaught?

@SnarkNSass 3 жыл бұрын

Lol 😂 Not knot, Naught! 😂🤣😂

@pierreabbat6157 3 жыл бұрын

I thought it was called the not-knot.

@elizabethhenning778 3 жыл бұрын

It's the unknot. Seriously.

@goosenotmaverick1156 3 жыл бұрын

Came to the comments for this precise type of interaction. Lol all the not, knot, naught, etc, started to make my head hurt 😂😂 had me cracking up.

@TempestMia 3 жыл бұрын

I feel like I got tricked into learning about math right here.

@SnarkNSass 3 жыл бұрын

Ha Ha😂🤣😂

@SidaFinn 3 жыл бұрын

Yeah, well said me too

@user-nm9fk7cb4b 3 жыл бұрын

Hank! Our cover’s blown!

@Partho_The_King 3 жыл бұрын

We got bamboozled.. again.

@antonioskontonasakis 3 жыл бұрын

Say it's knot so

@holofech9744 3 жыл бұрын

I’m doing research over the summer on knot theory, so this video was a really cool way to see how far I’ve come. Thanks!

@aaronmarks9366 3 жыл бұрын

That's awesome! Come back and tell us what you find :)

@myleskgallagher 3 жыл бұрын

Watching this on a scouting event in a sailboat. On point.

@bozzyrox 3 жыл бұрын

Nailed it my guy 👍

@thanhavictus 3 жыл бұрын

"atoms are nothing like little string" String theory: and I took that personally

@nobodxy 3 жыл бұрын

I love how mathematicians dont even try to be understandable by mortals by just eliminating the ends of the "string"

@aussie405 3 жыл бұрын

They were spliced together.

@DanOneDr 3 жыл бұрын

Only theory

@saeedgnu 2 жыл бұрын

If you think about it, a simple un-knotted string with no internal structure, has the same structure as a sphere or cube, so in topology they are equivalent. So the "ends" of a string don't exist from a topology point of view, because they don't change the structure.

@Parents_of_Twins 3 жыл бұрын

You know we are going to really be in trouble when the Knot Theorist start talking with the String Theorist.

@fernandoavila3929 3 жыл бұрын

They would come up with quantum entanglement.

@Parents_of_Twins 3 жыл бұрын

@@fernandoavila3929 LOL Damn them and their nuclear pasta

@fernandoavila3929 3 жыл бұрын

@@Parents_of_Twins I believe you’re looking for spaghettification.

@Parents_of_Twins 3 жыл бұрын

@@fernandoavila3929 en.wikipedia.org/wiki/Nuclear_pasta

@fernandoavila3929 3 жыл бұрын

@@Parents_of_Twins I didn’t recognize the term at first, but I remembered it once I started reading about it. I wish that the next scientist who break through are the once that come up with these names.

@ZWdoolster 3 жыл бұрын

As someone who is currently researching 4 dimensional knotted surfaces, I honestly had no clue they had any applications at all. This is truly the experience of a pure mathematician.

@T-Bone907AK 3 жыл бұрын

thanks hank the one thing i thought i had simple in my life. Now hurts my brain

@danygreenlee5679 3 жыл бұрын

Wait till you figure out you've probably been breathing wrong 🤣🤣

@trp 3 жыл бұрын

Nobody: Every furry: *INTERNALIZED SCREAMS*

@ryanbudney3356 3 жыл бұрын

I could take a small issue with your comment at 7:20 that "computers have not completely solved [the knot recognition problem]". Geometrization together with the JSJ decomposition in-principle is not only a solution, but a beautiful solution. Much of it has been implemented on computer and the algorithms are highly effective provided your knot does not have an insane number of crossings (like, say, over 100). Most of the algorithms are implemented in the software packages Regina and Snappea. The former was created by Ben Burton, the latter by Jeff Weeks, although there have been many contributors to both. The issue you consider later in the video -- knotted spheres in 4-space, this is a problem that (as far as we know) may be computationally infeasible, i.e. it may be provably-impossible to create algorithms that reliably distinguish different knots.

@matejlieskovsky9625 3 жыл бұрын

Up you go! I've notices a few mistakes in the videos on topics that I have some insight on. It does make me wonder how inaccurate are the ones where I cannot spot the mistakes...

@jonnaborosky8836 3 жыл бұрын

Ditto.

@ethan-loves 3 жыл бұрын

Thanks for pointing out this mistake! They're bound to happen - even a dedicated, experienced team will get something wrong when they're sharing thousands of facts a week. It would be nice for SciShow to put out corrections every once in a while, if they have the resources to.

@ryanbudney3356 3 жыл бұрын

@@ethan-loves In principle it is possible to write a cell phone app that would allow you to take a few pictures of a knot. The app would then create an internal representation of the knot, and determine whether or not it could be untangled. I'm hoping one day I'll find a suitably-interested grad student that is up for the challenge.

@iwontliveinfear 3 жыл бұрын

That is the hardest way to tie shoes. Also if the ether is quantum fields, then atoms are just knots in that field.

@user-nm9fk7cb4b 3 жыл бұрын

Or sheets….

@BritskNguyen 3 жыл бұрын

@@user-nm9fk7cb4b or branes...

@user-nm9fk7cb4b 3 жыл бұрын

@@BritskNguyen, semantically identical

@BritskNguyen 3 жыл бұрын

@@user-nm9fk7cb4b sheets are 2D branes, amirite?

@user-nm9fk7cb4b 3 жыл бұрын

@@BritskNguyen, not necessarily. A three dimensional object may be thought of as a collection of sheets

@AbiGail-ok7fc 3 жыл бұрын

When mathematicians talk about knots in four dimensions, none of those dimensions is ‘time’.

@AngadSingh-bv7vn 3 жыл бұрын

They leave that upto the physicists

@ChechoColombia1 3 жыл бұрын

It depends. Curves can be describe as the image of a vectorial function, where the parameter is t and physicists call it time.

@matejlieskovsky9625 3 жыл бұрын

When mathematicians talk about stuff in four dimensions, you are quietly thankful that they are showing you a simple example before plunging into the n-dimensional and ∞-dimensional cases.

@ewthmatth 3 жыл бұрын

I am surprised more people aren't pointing this out in the comments. And even MORE surprised that Hank has such a simplistic idea in his head that "time is **the** fourth dimension"

@DanOneDr 3 жыл бұрын

@@ewthmatth 5th?

@catharinepizzarello4784 3 жыл бұрын

Crochet, knitting, and the trials of a housekeeper. Unraveling and ordering the rat’s nest of wires that are part of the entropy of Life.

@realfoggy 3 жыл бұрын

Wow you have really tied it all together there. 😜 😀

@gloriaknight4098 3 жыл бұрын

The next knitting group meeting I am talking about knot theory.

@kimberlycoyle6865 3 жыл бұрын

So, knot string theory then 😂

@gloriaknight4098 3 жыл бұрын

@@kimberlycoyle6865 indeed!!🤣

@mustafakalaycioglu9613 3 жыл бұрын

I love this lol

@TechBearSeattle 3 жыл бұрын

Knitting is a naught knot, because it can be simplified into a single uncrossed string.

@AngadSingh-bv7vn 3 жыл бұрын

I love seeing hank so passionate on these big episodes where he can ramble on without having to segue to sponsors in the middle and just share with us what excites him.

@verdatum 2 жыл бұрын

The first time I learned about knot theory, I was in college and I got so sucked into a rabbit hole that I ended up missing a project deadline. I confessed this to my professor and he basically said, "Oh, yeah, that makes sense. That's pretty fascinating stuff. You can have an extension."

@liiammiller7881 3 жыл бұрын

This is Knot my favorite subject. My head is literally spinning.

@ridethecurve55 3 жыл бұрын

And mine is tying itself into....oh, just forget it!

@samo4003 3 жыл бұрын

yah, my brain has gone all knotty.

@TheN0odles 3 жыл бұрын

If your head is literally spinning Exorcist style, you need to get some rope and tie a knot around it.

@nemonomen3340 3 жыл бұрын

4:21 Thanks to all the scientists who worked so hard to figure out how long it takes an enzyme to bust a knot!

@frankie2132012 3 жыл бұрын

My brother learned how to tie his shoes when he was 13... He now repairs wiring and runs maintenance on the weapons and navigation systems of Apache helicopters... 🙃🤯☠️

@elsagrace3893 3 жыл бұрын

Your brother just needed a supportive learning opportunities and got none until joining the military. Just so sad that more isn’t provided to people. We have such a waste of potential for people without money in America.

@k.taylor3526 3 жыл бұрын

@@elsagrace3893 Or maybe he wasn’t pressured to conform to a societal standard that has no meaning 😉

@mygirldarby 3 жыл бұрын

@@elsagrace3893 or maybe he was just a late bloomer.

@hecate235 3 жыл бұрын

Who tied his shoes before he learned the knot? That's a long time to have mom on call.

@squidikka 3 жыл бұрын

"A mathematicians definition of a knot is probably different from what yours or mine is" Furries: PhD's in "Knot Theory"

@k0lliak553 3 жыл бұрын

OwO

@GuberShep 3 жыл бұрын

didn't have to scroll too far lol

@magk2524 3 жыл бұрын

OnO

@bea-ti9rg 3 жыл бұрын

UwU wanna study some knot theory with me~ (I'm sorry I'll leave)

@cheekibreeki3994 3 жыл бұрын

Knew I would find this

@NovaHolyDays 3 жыл бұрын

Imagine going to a bakery and asking for pretzels with knot knowledge. I belive bakeries are the clue to figure out knotting problems

@icollectstories5702 3 жыл бұрын

Most of us stick with the basics, like donuts or bagels. I have yet to master the Everything Bagel!

@thenewbrazy9997 3 жыл бұрын

The more pretzels you consume the closer you get to discovering the universe

@Theringodair 3 жыл бұрын

@@icollectstories5702 or Challah.

@achaides 3 жыл бұрын

I am so glad I graduated before this becomes school curriculum 😅😅

@TechBearSeattle 3 жыл бұрын

At Central Washington University, the math department has two seminar classes every quarter, a lower division open to anyone who was interested, and an upper division one for students in a math major or who could get the professor's consent. They will typically take an obscure, interesting math topic and dig in to it. One quarter while I was there, both seminars looked at knot theory. I was a math student and took both classes, and it was one of the most interesting topics I studied at that school.

@asher692 3 жыл бұрын

This feels horribly similar to ochem

@notarat9303 3 жыл бұрын

getting called out in the first 15 seconds because im an adult that cant tie shoelaces thanks hank

@HELLBENDER77 3 жыл бұрын

you could try learning

@Catlily5 3 жыл бұрын

I heard that Einstein never learned to tie his shoes.

@duncanbryson1167 3 жыл бұрын

I'm sure most people tie a granny knot rather than a reef knot.

@HermanVonPetri 3 жыл бұрын

@@duncanbryson1167 For those who don't know the difference; the proper way is if you cross the right lace over the top first, then cross the left hand bow over top next, or vice-versa. If you don't alternate both sides crossing over the top then you've tied a granny knot and it will lay unevenly and come undone more easily.

@martinman2590 3 жыл бұрын

@@Catlily5 i bet thats just something to make _those_ kids feel better

@romessson 3 жыл бұрын

this video has a very different meaning for fans of R rated anthropomorphical art.

@jjbarajas5341 3 жыл бұрын

Nah it's still pretty good vid. I expected this comment though ùwú

@Master_Therion 3 жыл бұрын

I had a professor who loved to talk about the mathematics of knots. Every time he would bring them up all of us were thinking, "Oh, knot again."

@kindlin 3 жыл бұрын

Oh, Therion, what would we do without you....

@user-oj4hc9jp9v 8 ай бұрын

Can I have an approach to the professor on social media?

@roberthoffmann7653 3 жыл бұрын

I kid you knot this video is amazing.

@dallonperry3639 3 жыл бұрын

Just go fly fishing for an hour when the winds are bad, you will have every knot in existence.

@damonedwards1544 3 жыл бұрын

Or put Christmas tree lights in a box for 2 seconds.

@guest_informant 3 жыл бұрын

The writing in this episode is Genius Level. This is a really difficult topic, and to get that much information across in 10' in such a comprehensible way is incredible.

@ryanmcintyre3616 3 жыл бұрын

So glad you guys finally covered Knot Theory, it one of the more obscure ones and a favourite of mine

@D0omsday779 3 жыл бұрын

As a furry and math nerd, I appreciate all kinds of knots.

@nicolechen9316 3 жыл бұрын

I hate that I know exactly what you mean

@simongamer987 3 жыл бұрын

I feel like we were never supposed to get smart enough to know about these knots

@andrewalmond9188 3 жыл бұрын

Thank you Scishow for enlightening me about 4D knots that sounds right up my alley! Been watching for a long time and greatful that I found you guys when I was a kid really such an awesome channel!

@davidmccombs6187 3 жыл бұрын

This is one of my most favorite episodes! I've been waiting for someone to talk about this.

@Froggy711 3 жыл бұрын

I want a version of this video where every time he says the word "not" one light bulb lights up, whenever he says "knot," a different light bulb lights up, and whenever he says "sliceness" it sprays confetti and horns sound.

@sarahcampassi 3 жыл бұрын

Imagine how confusing this video must be for someone who doesn’t speak English very well. So many knots and nots

@bipolarminddroppings 3 жыл бұрын

Kelvin at least was on the right track of thinking about atoms. He was thinking of them being fundentally made of the same stuff in different configurations. So he was totally wrong but in the right direction.

@natrosenquist 3 жыл бұрын

This video is right up my alley.

@GuberShep 3 жыл бұрын

Finally, a video about knots.

@exile55 3 жыл бұрын

Don't tell the furries. They may take the knot theory and make it knot theoretical anymore.

@oxyowo4585 3 жыл бұрын

Lol.

@GuberShep 3 жыл бұрын

owo

@spritethehusky5018 3 жыл бұрын

@@GuberShep lol

@mickavellian 3 жыл бұрын

" KNOT THEORY" hmmmm Ok I will be changing the name of the band. Thank you bro

@drmattconrad77 3 жыл бұрын

This was far more interesting than I thought it would be. Thanks!

@christopherbrand5360 3 жыл бұрын

Cool! Thanks for the episode on knots. My undergraduate thesis was on how much one of those identifying functions (a knot invariant) could change if a crossing was snipped and re-joined on the other side (like the enzyme does to the DNA). I actually got to contribute a little bit to the mathematics you described here. The best part was telling people who asked what my thesis was about that: “it’s (k)not theory.” To which they might reply: “So it’s applied math?”

@miguelrodriguezcimino1674 3 жыл бұрын

-"Hey we invented this new awesome knot made up with atoms" -"Great! What does it do?" -"Not sure yet, but it's gonna be cool to find out"

@jenerix5257 3 жыл бұрын

"It will probably be useful for some super advanced technology." "Why do you think that?" "Umm... Because it was really complicated to make?"

@rickseiden1 3 жыл бұрын

"Knots have been a part of human culture since the first caveman pulled his headphones out of his animal skin tunic."

@kateclark7250 3 жыл бұрын

Interesting! Thank you Hank, et. al.

@nemonomen3340 3 жыл бұрын

Hank Green you've done it again you knotty, knotty boy!

@Bart_Happel 3 жыл бұрын

I like to call the circle: the not-knot knot.

@adamphilip1623 3 жыл бұрын

Very interesting video! I'm a little confused why the name of the grad student who solved a hundred year old problem in her spare time was omitted? She deserves credit for that!

@scdollins 3 жыл бұрын

Lisa Piccirillo www.quantamagazine.org/graduate-student-solves-decades-old-conway-knot-problem-20200519/

@DerangedMerger 3 жыл бұрын

That vid was absolutely fascinating! 🤩 I would have never thought, knots can have anything to do with mathematics, and even more so, with quantum physics. I love science 🖤

@feroxlara21 3 жыл бұрын

I'm very glad and now more optimistic because of the encouragement towards different ways of thinking. 👍

@dinostorion 3 жыл бұрын

untangling these knots will be tough unless you’re the guy from outside in

@NautiluStudios 3 жыл бұрын

Which guy

@pairmanxlr 3 жыл бұрын

That educational video from 1959 as I remembered? It's truly insane.

@ryanmcintyre3616 3 жыл бұрын

I propose another great opponent, Maniac Magee

@mrjoe332 3 жыл бұрын

Good to know we are still thinking about that video

@mr.lahgcomics5712 3 жыл бұрын

I’ve never learned how to tie my shoe 😢

@audiotap8332 3 жыл бұрын

I may be a bit late but absolutely incredible redesign to whoever was involved in that brand update. Everything looks great yo, hella impressive 🤙

@HeWhoComments 3 жыл бұрын

Take a shot every time Hank says “knot”

@missheadbanger 3 жыл бұрын

When I tie my shoes, the bunny doesnt go around the tree. Instead I just make 2 Bunny ears loops, tied them together and double knot the loops.

@sarahrosen4985 3 жыл бұрын

I’m still processing the total lack of bunny ears and trees for said bunnies to go around in my childhood. Where were social services and kind neighbors when my parents were being so negligent? Even 1 kind teacher? I don’t know how I learned to tie my shoes but nothing imaginative or creative was involved. I had to learn about the bunny ears from my children when they learned from their older cousins.

@nickkk420 3 жыл бұрын

I would have thought Knot theory would be "tied" to string theory

@userbeans 3 жыл бұрын

Not a single knot pun .. I'm so proud of you guys 👍

@orderscc 3 жыл бұрын

On a more serious note (vs. my last post here), I always cross the laces over like 4 times and pull tight before tying the bow on shoes. That makes it hold much longer and not pull apart. I was taught that by a salesperson at REI (outdoor equipment providers).

@MajoraZ 3 жыл бұрын

To be clear, Quipu/Khipu, the knot devices used by the Inca, predate Inca civilization and were invented by prior Andean civilization, which goes back much further then the Inca themselves. Additionally, Quipu-like devices were used to some degree by Mesoamerican civilizations as well. It's an obscure fact, but a 1746 text by Lorenzo Boturini Benaduci discusses hearing of them, called Nepohualtzintzin (the term is also used by some Neo-Aztec nationalists to describe an abbacus like device, though this is likely a hoax) via an informant in Tlaxcala, but Borturini sadly says he was not able to acquire an example himself. Perhaps even more notably, there is a 1579 account by Diego de Valadés which also describes such devices, again, used in Tlaxcala, and Valadés directly compares them to the Quipu devices recently encountered in Peru.

@ariezweatherford6861 3 жыл бұрын

Knots can be used for KNOTty things too

@Rifatbinmaruf 3 жыл бұрын

It's so bold of you Hanks to assume I can knot. I'm 21 and this video helped me to learn to knot!!

@VincentGonzalezVeg 3 жыл бұрын

Excellent, more cool stuff to collect!

@kelvinchewjw 3 жыл бұрын

Furries in the chat probably choking on this joke too much.

@DaxterL 3 жыл бұрын

other people: "oh of course, a knot" furries including me: UwU

@-Kal- 3 жыл бұрын

Knot.

@voidhog1028 3 жыл бұрын

so so interesting. Thank you scishow!

@oscarmiranda9532 3 жыл бұрын

As a mathmatician, kinda, I love when you make videos explaining these super complex topics

@invader_jim2837 3 жыл бұрын

[sees title] Ohhhh no. I fear for the purity of this comment section.....

@Avocado-yw4xb 3 жыл бұрын

@LifeEleanorDeathNell 3 жыл бұрын

"Masochistic mathematicians" is my new band. Also, as someone who grew up sailing, the knowledge of this field of study brings me great joy. Though the idea that a mathematical knot is fully joined did break my brain a bit.

@hareth3911 12 күн бұрын

Knots are near the world of thinking and meaning and intelligence , connecting things for a purpose.

@mosaic6225 3 жыл бұрын

NONONONONONONONO

@lyckl_6609 3 жыл бұрын

Omg I'm so happy that there is another furry here. This video was a trip

@mosaic6225 3 жыл бұрын

@@lyckl_6609 please don't group me in like this

@lyckl_6609 3 жыл бұрын

@@mosaic6225 "four dimensional knotted spheres"

@atomicfox4390 3 жыл бұрын

@@lyckl_6609 HAHA a third has arrived lol

@therd2127 3 жыл бұрын

I'll just be sitting here and waiting for deliberate furry comments. Also probably some bad jokes about it on both ends (furs and non-furs) since I can't expect anything more than that. Change my mind, I suppose.

@tttITA10 3 жыл бұрын

Elements being different kind of knots would be REALLY cool.

@sarahrosen4985 3 жыл бұрын

THAT! I want that to be true.

@kathybramley5609 3 жыл бұрын

Knots, important and often overlooked ancient technology!! Been saying that, slightly flippantly, for years.

@anchorbait6662 3 жыл бұрын

It's NOT really a theory is it? Either way we will be untangling it's mysteries until the bitter end.

@vinkuu 2 жыл бұрын

Simple method of checking if you tied your shoelaces correctly, pull on the strings; If the loops remain horizontal, you have the knot that will not unfold during stress.

@irlshrek 3 жыл бұрын

Another awesome episode! This one was fun

@USS_Sentinel 3 жыл бұрын

Love the new intro!

@StopItRyan 3 жыл бұрын

This is nerdy and trivial. I am here for this.

@rdyer8764 3 жыл бұрын

Thanks. A really good one!

@FraktalPriest 3 жыл бұрын

10:03 That pun did knot mess with my brain...

@Froggy711 3 жыл бұрын

Sliceness. Sliceness. I can't believe this is a word. This word is amazing.

@thelastcube. 3 жыл бұрын

this is like topology all over again

@Articulate99 2 жыл бұрын

Always interesting, thanks.

@wdwerker 3 жыл бұрын

Trying to follow that episode has tied my brain in knots !

@jacobwolfe3002 3 жыл бұрын

Hank, you did it. It only took a decade, but you finally got the phrase "knot busting enzymes" in the show. Congratulations 4:21

@tHEdANKcRUSADER 3 жыл бұрын

It’s NOT about how many knots you know but knowing what knots is best for the job.

@inimicalnature 3 жыл бұрын

I was hoping there would be a sorts of visuals of hollow knotted spheres. :P

@rubenthijs746 3 жыл бұрын

Protip: if you put away your garden hose or extension cable, plug the two ends into each other. If not, you can grab an end and pull it through a wrong loop and you'll end up with knots. It is mathematicaly proven it works.