Hey, I thought this video was about nails and puzzles ! But you taught me interesting math stuff, though I'm not really into math. You nailed me. I'm puzzled.
This video is just for math geeks trying to explain everything mathematically. It can be done, but thinking about loops and hooks is easier than clockwise turns and algebra. I skipped through the esoteric math segments, but the video doesn't slow enough to see what's going on. I was close to figuring it out before playing through, I just needed some string. How I explain it is that you start with one long loop of string on the picture frame, and you pull a loop on each side and wrap over that side nail and hook the other side nail. The loop around the each nail holds the picture, but pulling either nail unravels the other loop because each hook is wrapped over the other nail. He also didn't say why he needed a heavier picture, because his math doesn't account for friction. And there's probably an equation that shows that a million nails won't work in the real world. But then it doesn't make sense to actually use this method to hang pictures if you want them to stay.
Hey everyone, A lot of people felt that the thumbnail was not reflective of the content of this video so I decided to change it. I am truly sorry to anyone that I may have annoyed. The change may take a few days to spread to all places on TH-cam where this video appears. While I certainly want people to watch my videos I would never intentionally trick anyone into doing it. I want people to have a good time with my channel and my content and I hope you believe me when I say that I had no intention of being misleading. If you just want to see me pull the nail in the thumbnail you can skip to 14:30.
Your video is amazing and those who think this video is worth a dislike, just because they didnt get to see a non-relevant thing, while the "whole" matter and its beauty is explained quietly brilliant and as simple anyone can understand it, shouldn't receive any form of justifaction. Apart of that it seems good that you work with feedback, even when the feedback is just intolerable. Thanks for everything! 21.000th subscriber btw :)
Your passion for mathematics is inspiring my friend. You will never know how badly I needed this. Fantastic video and true appreciation for your work!!
Nice analogy with the Rubik's Cube. Actually, in cubing we also call move sequences which follow the form ABA'B' a commutator (the ' indicates the inversion). They're typically denoted with [A, B], just as in mathematics afaik. Keep on doing those great videos, really love that stuff!
I have to go out now, but when I get back home I'll definitely subtitle your video. I enjoy your content, and I'm that rare breed of person who enjoys subtitling work.
So sorry I can't contribute more, NaNoWriMo is seriously distracting me. When I get the time, though, I will try and make sure your videos are subtitled.
I wish you were my math teacher in high school, I probably would have found it more interesting and relevant, and would not dislike it today! You explain things well and Your enthusiasm for the subject is contagious! Super rare in math teachers (in my experience at least!) Thanks! I'm so glad I stumbled upon your channel!!
Wow, I was 100% engaged for an entire 15 min video. Don't remember the last time that happened. You're really good at breaking down and explaining concepts. You're a natural teacher. :)
Omg thank you so much for doing this. I'm a math undergrad who is trying to learn about all the different fields of math and this really helps me see a bit of the bigger picture that's out there. Please keep up the good work, the amazing explanations, and over all keep adding the subjects that cover the topics that you mention throughout the video, that was my favorite part of it
You are the biggest geek I've ever seen express their thoughts, opinions, and passion in a video here on youtube. I've never enjoyed watching a video more than I did this one. I've never related more to someone's interest in something either. In fact, I paused the video to take my Rubik's cube and go experiment with something. It took me and one other person about an hour to only figure out a little bit about it, and we are still confused and want to investigate/experiment even more. Just wanted to say this is REALLY cool and was an instant subscription from me. Thank you.
The visualisation of what you were explaining was so good and helpful I know it takes a lot of time and effort but you're the only one whos willing to show a 3d model or put motion graphics in the equations and I love it so much thank you!!!!
Excellent, clear explanation with tonnes of contagious enthusiasm. You lost me on two occasions but that's ok, it's good to be challenged and I'll give it another watch at some point. Delighted to sub.
The TH-cam algorithm must really like you because it just brought you a new subscriber. The moment I saw all the code and the Blender project I subscribed.
Man, I love your videos. It’s so great to see a new channel pop up where the person is not only really excited about the subject matter but also cares about making the video interesting to watch. Two more things: I noticed that some people complained about the amount of memes in your previous vids. Ignore those memeless simpletons. Also, your hair is god damn luxurious.
This appears to work in concept but I need to get better string. The twine is binding up on the nails and ruining the effect. It also seems that you aren't supposed to ever make a full loop around any nail, if the formula tells you to pass under a nail you need to just skip past it without looping it around or else it doesn't work. So basically the math doesn't care where the nails are in physical space it only cares where the string passed by the nail in what direction even if the string never touched the nail.
I want to give you mad props for actually trying it. This is something I would have mentioned if I had kept on going but you are basically correct. It is possible to do this regardless of how the nails are positioned on the wall (so you can make tons of crazy patterns). However! You do need to be extremely careful. If you really want to guarantee that the looping pattern will be correct, you should pick a point on the plane and call it "home" (ideally where the picture will eventually hang) then draw paths from each of the nails to home so that none of of the paths intersect either each other, or any of the other nails. Now, whenever you want to loop around a nail, ALWAYS start from home, move along the path and then make a full loop around the nail, and then RETURN home along the path, then do this again with each consecutive nail. You can always tighten things up as you go along, but this strategy will guarantee that regardless of whatever crazy positioning you choose, the configuration will be correct. This strategy comes directly from the algebraic topology involved in proving that the Caley Graph is correct. Thanks for watching!
haha thank you very much, I thought you were a friend of mine, thats why I wrote the confusing answer... :) I really appreciate your comment, dont get to hear that every day :D Im pretty good too, thanks. Have a nice day fren :)
I clicked on this video because I didn’t want to go to sleep yet. I’m so glad I did. This was absolutely fascinating. You sir have yourself a new subscriber!
You are awesome. I have been trying to understand how to create your own algorithms for twisty puzzles for a while now. Commutators is word thrown out a lot when researching this stuff. Never understood what it was until now. I have learned more about how to create solutions from this than cubing videos actually trying to teach you how to do it. You my friend need to be a teacher if you aren’t already.
Atulit Nirman, well, if you can understand this then you know why it is finite. www.sciencedirect.com/science/article/pii/0097316572900635 it's the Theory behind it by Joseph B. Kruskal. It's a lot more general and applies to more than the TREE(n) sequence.
I am extremely happy that I stumbled upon your channel, it is genuinely one of the most interesting channels on TH-cam to me. Thank you so much for the great content!
I'm dizzy... but in the best way. I've been lucky enough to have actually had three mathematicians as teachers and like you, they were the only ones who got me to sit up and pay attention fully. Math may not be my forte, but it's always good to learn from someone not only knowledgeable but passionate.
California has a law where any product containing a carcinogen must be labeled as such. Unfortunately the law is too broad and the warning winds up on just about everything. I am not sure why I had a board from California lying around the house, but there you go.
All constructionproducts used in the USA must meet California standards and be labeled as such. Just as all construction codes for new construction must meet California code + Miami/ Florida codes combined. Meaning all homes and business must be able to withstand huricain force winds and 5+ earthquakes nationwide. Turns into a load of shit somewhere like WV or Arizona where neither condition apply.
I'm in algebraic topology right now, and this video reminds me of the classification of surfaces and the way we figure out orientability of surfaces given the fundamental polygon of that surface. For example, the commutator is just the torus.
Elegant Maths very enjoyably presented - thank you for all the effort you put into this. I watched the video just before I went to sleep and ended up dreaming of commutators. :-)
I don't think it was intended as clickbait, and as someone who was subscribed to this channel, I really recommend watching his other videos. They're satisfying AND clickbait-free.
Dude, I am not kidding, I have watched thousands of videos on youtube but this one is definitely the best one I have EVER seen! Thank you so much for making these videos! You taught me so much about math I never knew! Also, i'm really into math and I really like it! Please make more videos like this one! :D
I don't understand why lot of people disliked this video. It was very interesting to learn how to convert such "real life" problem into a mathematical model, and then use results from group theory and graph theory to solve it, and then to generalize it to any number of nails.
First time on channel, really digging the hair man, and I really appreciated your enthusiasm and energy throughout, the thinking through this so as to explain to everyone was awesome
I barely woke up and now my brain hurts. This video has so much interesting information that my brain couldn't handle it this early morning. I'll pause it for now but I'll definitely continue watching it when I'm more awake
Awesome video! Finally watched it after giving up trying to solve the 2-nail problem on my own :P I thought you did an excellent job relating algebra to physical processes, and it was really satisfying to see the demonstrations with 3 and 5 nails. Congrats on over 1M views - I'm glad to see how well this channel is growing.
This is my first time seeing your channel and I am so hooked because of it. You have the most unique way of explaining the theory, I gotta say mind blown! I'm going to build the largest I have enough nails and string for. Thank you for the great lesson.
I can see how much effort you are putting in your videos. I enjoyed your enthusiasm and explanation.I do not subscribe you tube channels but I made a exception now. I enjoy how you are putting complex ideas so simply in public domain. This is my first comment ever in history of you tube.
Love love love. Totally awesome. Thanks for bringing such amazing mathematical concept to a wider and more general population. I study physics and love maths. So finding commutators in nails and strings made me love the video instantaneously. Live long and prosper.. :P
I love you and hate you at the same time. That was an amazing explanation of this very interesting concept and it got me so hyped to see the one from the thumbnail but it never came :( If you can, please upload that one in a separate video, we'd all love to see it
Dude, this was awesome! I clicked mainly cos I liked the thumbnail (so good job there). I love maths videos but usually don’t understand the full implications of whatever I’m watching - not with this video though. I got a bit tangled up (haha - sorry) in the middle there but by the end of the video I GOT it. And that feels so good! Thanks :)
This was a much better video than I expected! I only expected a small math trick thing, instead there is some nice 'look at the bigger picture' in this video :)
![เป็นไปได้ไหม - WanMai [Official MV]](http://i.ytimg.com/vi/_6lZ6b3_7Vo/mqdefault.jpg)
"Oh, a cool carpentry trick."
"Wtf, holy shit. Unexpected beautiful mathematical theories."
TH-cam recommendations gone right.
Hey, I thought this video was about nails and puzzles !
But you taught me interesting math stuff, though I'm not really into math.
You nailed me. I'm puzzled.
CraftedBy Lemente perfectly well put! I'm right there with ya!
you *NAILED* me
This video is just for math geeks trying to explain everything mathematically. It can be done, but thinking about loops and hooks is easier than clockwise turns and algebra.
I skipped through the esoteric math segments, but the video doesn't slow enough to see what's going on. I was close to figuring it out before playing through, I just needed some string.
How I explain it is that you start with one long loop of string on the picture frame, and you pull a loop on each side and wrap over that side nail and hook the other side nail. The loop around the each nail holds the picture, but pulling either nail unravels the other loop because each hook is wrapped over the other nail.
He also didn't say why he needed a heavier picture, because his math doesn't account for friction. And there's probably an equation that shows that a million nails won't work in the real world.
But then it doesn't make sense to actually use this method to hang pictures if you want them to stay.
Chris Rinker Anyone who has tied a few knots can figure this out practically. Thats not the point...
(sob..sob...sob)
I really hope this channel blows up like 3Blue1Brown or Numberphile. This is some top quality content.
I totally agree. When I clicked on this video I was not expecting to dive into advance math theories!
And that hair!!!!!! 😎👍
I clicked one of his videos accidentally last week. Best. Mistake. Ever.
You are all exceptionally kind. Thank you so much for watching :)
agree. but this channel wont catch on due to a branding problem. he needs a better channel name. may i suggest JesusMath!!!
Jesus talking about nails, string, and math.. gonna subscribe
Not just any Jesus, but a rare Asian Jesus!
Hey everyone,
A lot of people felt that the thumbnail was not reflective of the content of this video so I decided to change it. I am truly sorry to anyone that I may have annoyed. The change may take a few days to spread to all places on TH-cam where this video appears.
While I certainly want people to watch my videos I would never intentionally trick anyone into doing it. I want people to have a good time with my channel and my content and I hope you believe me when I say that I had no intention of being misleading.
If you just want to see me pull the nail in the thumbnail you can skip to 14:30.
GoldPlatedGoof wow
Your video is amazing and those who think this video is worth a dislike, just because they didnt get to see a non-relevant thing, while the "whole" matter and its beauty is explained quietly brilliant and as simple anyone can understand it, shouldn't receive any form of justifaction.
Apart of that it seems good that you work with feedback, even when the feedback is just intolerable.
Thanks for everything!
21.000th subscriber btw :)
JustRelax yes he did, watch the full video, he does it near the end.
It was a really interesting video!
too much info makes me wanna puke. Thank god you're not my physic/math teacher
I finally understand string theory! : )
Earthbjorn Nahkaimurrao 😂 nice one
Earthbjorn Nahkaimurrao 😃
😑
Earthbjorn Nahkaimurrao Me too! I watched a video yesterday about cats and it just hit me.
Let me guess, the cat was alive and dead at the same time?
Your passion for mathematics is inspiring my friend. You will never know how badly I needed this. Fantastic video and true appreciation for your work!!
Nice analogy with the Rubik's Cube. Actually, in cubing we also call move sequences which follow the form ABA'B' a commutator (the ' indicates the inversion). They're typically denoted with [A, B], just as in mathematics afaik.
Keep on doing those great videos, really love that stuff!
I have to go out now, but when I get back home I'll definitely subtitle your video. I enjoy your content, and I'm that rare breed of person who enjoys subtitling work.
I very much appreciate that. Thanks for taking on such a laborious task, I do tend to talk a lot :)
So sorry I can't contribute more, NaNoWriMo is seriously distracting me. When I get the time, though, I will try and make sure your videos are subtitled.
Lmao nice bait m8
+GoldPlatedGoof you never showed the thumb nail nail being removed.
thechucknorrisofNSMB if you wanna subtitle another video I have one for you.
I wish you were my math teacher in high school, I probably would have found it more interesting and relevant, and would not dislike it today!
You explain things well and Your enthusiasm for the subject is contagious!
Super rare in math teachers (in my experience at least!)
Thanks! I'm so glad I stumbled upon your channel!!
So I wrapped the string around my nails and my fingertips turned blue. How do I express this mathematically?
Plasmatize have you been stirring kool-aid with them?
Plasmatize best pun
Stupidity
Shiny Emerald hey i know that dad joke from somewhere else
because im cultured
Wow, I was 100% engaged for an entire 15 min video. Don't remember the last time that happened. You're really good at breaking down and explaining concepts. You're a natural teacher. :)
I can't even solve 1 nail.
nailed it
So punny
Im puzzled also
Wouldn't 1 nail be unsolvable because anything you do would just cancel itself out?
i bet you just lay your paintings down then?xD
This is like the best introduction video to group theory!! Keep it up!
Agree...this channel deserves to blow up. Sir you have the secret sauce to make math interesting.
Omg thank you so much for doing this. I'm a math undergrad who is trying to learn about all the different fields of math and this really helps me see a bit of the bigger picture that's out there. Please keep up the good work, the amazing explanations, and over all keep adding the subjects that cover the topics that you mention throughout the video, that was my favorite part of it
This channel deserves to be as big as 3Blue1Brown
You are the biggest geek I've ever seen express their thoughts, opinions, and passion in a video here on youtube. I've never enjoyed watching a video more than I did this one. I've never related more to someone's interest in something either. In fact, I paused the video to take my Rubik's cube and go experiment with something. It took me and one other person about an hour to only figure out a little bit about it, and we are still confused and want to investigate/experiment even more. Just wanted to say this is REALLY cool and was an instant subscription from me. Thank you.
Came for the maths, stayed for the luscious locks
Most people came for the luscious locks and were disappointed by the maths, which is sad.
i really hope you arent a boy cuz you would be gay
The visualisation of what you were explaining was so good and helpful I know it takes a lot of time and effort but you're the only one whos willing to show a 3d model or put motion graphics in the equations and I love it so much thank you!!!!
Excellent, clear explanation with tonnes of contagious enthusiasm. You lost me on two occasions but that's ok, it's good to be challenged and I'll give it another watch at some point. Delighted to sub.
The TH-cam algorithm must really like you because it just brought you a new subscriber. The moment I saw all the code and the Blender project I subscribed.
I really love your videos, man! Great work! 👍
You’re getting a sub for this! Amazing video, really interesting content!
Not only great content, but also outstanding explaining. Not an easy task in mathematics!
Man, I love your videos. It’s so great to see a new channel pop up where the person is not only really excited about the subject matter but also cares about making the video interesting to watch.
Two more things:
I noticed that some people complained about the amount of memes in your previous vids. Ignore those memeless simpletons.
Also, your hair is god damn luxurious.
This appears to work in concept but I need to get better string. The twine is binding up on the nails and ruining the effect. It also seems that you aren't supposed to ever make a full loop around any nail, if the formula tells you to pass under a nail you need to just skip past it without looping it around or else it doesn't work. So basically the math doesn't care where the nails are in physical space it only cares where the string passed by the nail in what direction even if the string never touched the nail.
I want to give you mad props for actually trying it.
This is something I would have mentioned if I had kept on going but you are basically correct. It is possible to do this regardless of how the nails are positioned on the wall (so you can make tons of crazy patterns). However! You do need to be extremely careful. If you really want to guarantee that the looping pattern will be correct, you should pick a point on the plane and call it "home" (ideally where the picture will eventually hang) then draw paths from each of the nails to home so that none of of the paths intersect either each other, or any of the other nails.
Now, whenever you want to loop around a nail, ALWAYS start from home, move along the path and then make a full loop around the nail, and then RETURN home along the path, then do this again with each consecutive nail. You can always tighten things up as you go along, but this strategy will guarantee that regardless of whatever crazy positioning you choose, the configuration will be correct.
This strategy comes directly from the algebraic topology involved in proving that the Caley Graph is correct.
Thanks for watching!
rustyscrapper now you're getting into physics. I recommend not, as it likes to melt neurons and circuit boards (ask NASA)
yeah, friction often prevents theoretical physics problems.
Dude, great video! Simple and casual but still touches on interesting mathematics. Subscribed. Thank TH-cam's algorithm for recommending me this!
This was honestly the best 15 minutes I've ever spent on TH-cam. I was a little disappointed that you didn't show the 26 nail puzzle, though.
That was truly enthralling. Will be watching for more from your channel.
you brought back my love for math :) Thank you
Jonathan Böcker wow, is that u in your profile pic? 😍😅
Hey Jonathan! I am well, thank you. How are you? I saw your comment and thought you're very good-looking, so had to say hi. 😁
haha thank you very much, I thought you were a friend of mine, thats why I wrote the confusing answer... :) I really appreciate your comment, dont get to hear that every day :D Im pretty good too, thanks. Have a nice day fren :)
Jonathan Böcker Ohh ok, yea I was wondering if I knew you somehow. Haha! You're welcome! And thanks, you too!!
I clicked on this video because I didn’t want to go to sleep yet. I’m so glad I did. This was absolutely fascinating. You sir have yourself a new subscriber!
I Love your videos dude! You're amazing
Emil Svahn you...are.........less educated than me since this seems very new to you. That's all I have to say
Wow basically how to make a video with a 20$ budget and trick hella people into watching this...... You're a genius
Emil Svahn Thank you 😊
Emil Svahn vsauce shouted out numberphile a couple of times in the past
your observations can explain time flow vs all-at-once EVERYTHING.
Is this a Head & Shoulders commercial? Holy shit..
Uriah Siner lmaaaoooooo
Good One
xxxrossomaticxxx you probably look worse. This guy is cool.
lol never said he wasnt cool, but he gotta cut down on the hair. And ok thanks for making assumptions on the internet lol
If you mean he has great hair I would agree.
You are awesome. I have been trying to understand how to create your own algorithms for twisty puzzles for a while now. Commutators is word thrown out a lot when researching this stuff. Never understood what it was until now. I have learned more about how to create solutions from this than cubing videos actually trying to teach you how to do it. You my friend need to be a teacher if you aren’t already.
The cat though
Lol ikr
I was waiting to see this comment xD
Mason Monnie. Same.
The mathematical interpretation of this puzzle is just brilliant. I enjoyed it.
thank you for making so many great videos
You are awesome bro. You deserve more recognition. 👏
You deserve way more subs...
check out his socialblade he's getting a shit ton more subs than usual.
You really deserve more views, this was absolutely satisfying and interesting, even while knowing some basic group theory !
i just became a mathemaniac .. i don't know if that word even exists..
This is an absolutely phenomenal way of describing this, man. 3 dimensional permutations are quite a wonderful concept.
I love your videos
I request you, Can you explain why tree(3) is finitely big- a numberphile video
Atulit Nirman, well, if you can understand this then you know why it is finite.
www.sciencedirect.com/science/article/pii/0097316572900635 it's the Theory behind it by Joseph B. Kruskal. It's a lot more general and applies to more than the TREE(n) sequence.
I solved Tree(3) !!!
Let me write it down for you:
... made you look! ...
Of course he can. He is Jesus after all
I am extremely happy that I stumbled upon your channel, it is genuinely one of the most interesting channels on TH-cam to me. Thank you so much for the great content!
You also used all of my favorite Otis McDonald songs haha. Thank you for that too!
I think we found Jesus
Dude, your videos are awesome!! Never had so much fun learning about mathematics in my life! Please continue with other stuff!
Greetings from Italy
1:56 Cuphead is EVERYWHERE!!
No shit Sherlock
I'm dizzy... but in the best way. I've been lucky enough to have actually had three mathematicians as teachers and like you, they were the only ones who got me to sit up and pay attention fully. Math may not be my forte, but it's always good to learn from someone not only knowledgeable but passionate.
Please put the other stuff in another video 🙏
Gilbert Rivera other stuff?
Asdf Qwerty must not have watched the video.
Gilbert Rivera what do you mean?
This channel is so underrated. awesome work!
It's driving me mad that you didn't explain the action, so now I'm forced to go do this on my own....clever.
Seriously awesome video, I appreciate your work and effort a lot. I would love to see this channel grow a lot!
The cat's paw-attack is a nice touch!
But why does your board seem to have "California to cause cancer" stamped on it???
California has a law where any product containing a carcinogen must be labeled as such. Unfortunately the law is too broad and the warning winds up on just about everything. I am not sure why I had a board from California lying around the house, but there you go.
GoldPlatedGoof
LOL!
All constructionproducts used in the USA must meet California standards and be labeled as such. Just as all construction codes for new construction must meet California code + Miami/ Florida codes combined. Meaning all homes and business must be able to withstand huricain force winds and 5+ earthquakes nationwide. Turns into a load of shit somewhere like WV or Arizona where neither condition apply.
Amazing. One of the coolest videos I've seen in a while. Subbed.
Can someone pls explain to me why there are so many dislikes on this video?
I was wondering the same thing
You seem extremely passionate about this! Glad to see that you found something special in what a lot of people see as annoying and boring.
Start a patreon and put all the extras there
I'm in algebraic topology right now, and this video reminds me of the classification of surfaces and the way we figure out orientability of surfaces given the fundamental polygon of that surface. For example, the commutator is just the torus.
I thought Jesus died
Elegant Maths very enjoyably presented - thank you for all the effort you put into this. I watched the video just before I went to sleep and ended up dreaming of commutators. :-)
You never showed us what the photo in the thumbnail looks like when you pull the nail. ☹ Clickbait is very UNsatisfying. I feel cheated.
Jahmocha I feel the same way. First and last video I will watch on this channel.
I don't think it was intended as clickbait, and as someone who was subscribed to this channel, I really recommend watching his other videos. They're satisfying AND clickbait-free.
Agree, that's clickbait even if it was not intended to be. Thumbs down.
Glad I skipped thru the comments. Click bait.
Yes, highly dissappointed
Dude, I am not kidding, I have watched thousands of videos on youtube but this one is definitely the best one I have EVER seen! Thank you so much for making these videos! You taught me so much about math I never knew! Also, i'm really into math and I really like it! Please make more videos like this one! :D
OPGuy2000 If you like math, I recommend you this youtube channels: Mathologer, 3blue1brown and Numberphile
you have beautiful hair
Wow super high quality channel. What a find, can't wait to see more!
click bait didn't show the thumbnail picture collapse. but still super interesting video defenitly worth the click bait.
gavin kemp I wanted to see that
14:30
raziel leguisamo I think he changed the thumbnail to that afterwards
Zovo he did
Wow, that was so cool! I am genuinely intrigued with this puzzle now, and I really want to try it out. Great video!
you never showed the puzzle in the thumbnail... cool vid otherwise
Dale Veitch y searched for that. Clickbait. Dislike.
If that is worth giving a dislike, you must be ambitious.
He did show the puzzle in the beginning. It is the last thing he did, the three nails. Can I give you a dislike?
This video was awesome! Loved the examples towards the end. Amazing. Subbed
Hey Christians, here is a drawing of Jesus getting his nails done: i.imgur.com/RIXomyt.jpg
This is the kind of bot the world needs. LOL.
I'm not clicking that, what is it?
Literally what the comment says
Thanks! I hate it!
Or do i
I subbed and this was the first video I watched on this channel.
I don't understand why lot of people disliked this video.
It was very interesting to learn how to convert such "real life" problem into a mathematical model, and then use results from group theory and graph theory to solve it, and then to generalize it to any number of nails.
Really fun and interesting math theory, as well as glorious hair. Liked and subbed!
First time on channel, really digging the hair man, and I really appreciated your enthusiasm and energy throughout, the thinking through this so as to explain to everyone was awesome
Great video once again. I'll be waiting for the next one next month.
Probably sooner :)
Very engaging and interesting props for keeping a 15 year old so intrigued
I hope your channel grows more dude. I just now found you for the first time but I love your content thus far. One on ya!
I would have never watched this if I had any idea what the content is about...but you got me hooked and now I am subscribed to a math channel! xD
I’m really surprised you don’t have more subscribers your content is very well put together a can see your channel getting big soon.
I barely woke up and now my brain hurts. This video has so much interesting information that my brain couldn't handle it this early morning. I'll pause it for now but I'll definitely continue watching it when I'm more awake
Awesome video! Finally watched it after giving up trying to solve the 2-nail problem on my own :P
I thought you did an excellent job relating algebra to physical processes, and it was really satisfying to see the demonstrations with 3 and 5 nails.
Congrats on over 1M views - I'm glad to see how well this channel is growing.
This is my first time seeing your channel and I am so hooked because of it. You have the most unique way of explaining the theory, I gotta say mind blown! I'm going to build the largest I have enough nails and string for. Thank you for the great lesson.
This is my favourite maths channel 👍
Where are the rest of the videos? Especially the flashback one.
1:40 that is the exact look I’m expecting from my wife when I introduce this activity to her and the kids tomorrow! Great video!
I can see how much effort you are putting in your videos. I enjoyed your enthusiasm and explanation.I do not subscribe you tube channels but I made a exception now. I enjoy how you are putting complex ideas so simply in public domain. This is my first comment ever in history of you tube.
Really happy you enjoyed it, and thanks for watching :)
Damn, this is actually so interesting!
Good job mate.
Love love love. Totally awesome. Thanks for bringing such amazing mathematical concept to a wider and more general population. I study physics and love maths. So finding commutators in nails and strings made me love the video instantaneously.
Live long and prosper.. :P
Definitely got a new sub this was super interesting and hope theres more to see, might have a binge session tomorrow xP
I love you and hate you at the same time. That was an amazing explanation of this very interesting concept and it got me so hyped to see the one from the thumbnail but it never came :(
If you can, please upload that one in a separate video, we'd all love to see it
I finally found a channel to satisfy my need for complex math on my grade 8 brain! Thank you so much.
Eat your heart out, ASMR videos, I'm using this video to fall asleep to tonight.
This is pure awesomeness. Loved everything about it!
You tricked me into learning math. Great job. Keep the videos coming.
Dude, this was awesome! I clicked mainly cos I liked the thumbnail (so good job there). I love maths videos but usually don’t understand the full implications of whatever I’m watching - not with this video though. I got a bit tangled up (haha - sorry) in the middle there but by the end of the video I GOT it. And that feels so good! Thanks :)
In many ways, I find an ungodly huge amount of possibilities more interesting than a huge amount of possibilities.
This dude foams at the mouth at the thought of math and i love it.
This was a much better video than I expected! I only expected a small math trick thing, instead there is some nice 'look at the bigger picture' in this video :)
I stumbled upon this video and really enjoyed it. Well done sir.
Keep up the great work! Absolutely fantastic videos