@veritasium

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 - https://ve42.co/VePatreon

@zebatov

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

@siddharthshekher1101

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.

@chriscrossx

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.

@mixposition

Audio engineer here! The wires in your headphones are made of braided copper; meaning they are already benefitting from both the added stiffness and increased flexibility/durability of the twist stiffening. Without knowing which direction that copper twists, twisting your headphone cable like that is likely to act against this twisting and cause breakages. So sure it's good for not knotting but knot good for the life of your headphones!

@the_Spartan_117

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

@logankennedy7082

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.

@AuxiliaryHillman

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

@rovertn7521

0:51 “it’s knot pure math”

@smoov22_sonic

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

@persona2grata

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.

@rozygcf6611

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.

@FunTimeOnline

Thanks! I am now seven years old. I really like your videos.

@Haeze

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.

@williamarcor251

Derek has been killing it with the math videos lately

@CapitalisticEmu

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 .

@mayaschoenfeld1383

Knot theory is cool, but what's more impressive to me is how you can make such a beautifully well-done video about it! Very well written, edited, planned, researched... everything!

@espygaming5101

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.

@Icecicle83

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.

@franciscovarela7127

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.