Wrong Turn on the Dragon - Numberphile

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Numberphile

Numberphile

Күн бұрын

Пікірлер: 355
@user-zj8jn3hs6f
@user-zj8jn3hs6f 10 жыл бұрын
That's just the cutest thing ever! him and his wife creating this giant custom built dragon curve mosaic and even putting their signatures in… I guess the two of them are one happy geeky couple :)
@DrSpecialful
@DrSpecialful 7 жыл бұрын
I love the way the poem is mentioned and discussed at the start like a warm up, but then comes back to wrap the video up. Great work numberphile, lovely video.
@fleeb
@fleeb 10 жыл бұрын
Holy moly... This is the same Donald Knuth of The Art of Computer Programming fame! Spot on about erring, but less. And a great object lesson on the matter.
@unvergebeneid
@unvergebeneid 10 жыл бұрын
And of TeX fame of course. Yep, the one. I'm also fangirling out about Brady having visited him :)
@Niosus
@Niosus 10 жыл бұрын
Yes this is our legend! Holy cow the world would have looked different if it wasn't for this guy. Brady is moving up the ranks ;) No smart person on this planet can hide from his camera!
@unvergebeneid
@unvergebeneid 10 жыл бұрын
Niosus "Holy cow the world would have looked different if it wasn't for this guy." I shudder just to think of it! We would have _horrendous_ full justification with huge and irregular blank spaces between words .... wait.
@jasondoe2596
@jasondoe2596 10 жыл бұрын
fleeb A living legend indeed! Although I'm embarrassed to say that I'm more familiar with TeX than with TAOCP... It's mind-boggling what some guys can do _while taking a break from the "serious" stuff_ (Knuth with TeX, Torvalds with Git etc.)
@jasondoe2596
@jasondoe2596 10 жыл бұрын
Penny Lane xD
@beauxq
@beauxq 10 жыл бұрын
There's no wrong turn. Don is just remembering incorrectly which end is the starting point. His tiles are correct.
@misterman7684
@misterman7684 7 жыл бұрын
That's awesome, we should let him know
@samuelthecamel
@samuelthecamel 4 жыл бұрын
Yes, the middle turn is the only turn that is not symmetrical.
@MikkoRantalainen
@MikkoRantalainen 4 жыл бұрын
It seems that Don thought that he had made a mistake but it turns out the only mistake was believing that there was a mistake :D
@patrickbrown7438
@patrickbrown7438 3 жыл бұрын
I checked this using a screenshot from the video overlaid on a computer generated version. You're right, it's an exact match but just rotated 90°. I'm guessing he knew this and wanted to sneakily point out that flipping the 9th fold creates a rotation of the whole pattern. Mathematicians!
@Fealuinix
@Fealuinix 3 жыл бұрын
@@patrickbrown7438 This is consistent with every legend I've heard of Don Knuth.
@adrianfisher3349
@adrianfisher3349 8 жыл бұрын
It's always nice to see great men who also seem to be just as nice in person.
@jamesfernance3944
@jamesfernance3944 8 жыл бұрын
His wiki page reveals that he is a really interesting person - having applied himself to so many fascinating projects.
@adrianfisher3349
@adrianfisher3349 8 жыл бұрын
James Fernance It's also nice he's so open about this mistake.
@Games-mw1wd
@Games-mw1wd 8 жыл бұрын
Adrian Fisher He's probably not so nice if you break into his house and ask him a question about whether to use zero- or one-based indexing :)
@loreleihillard5078
@loreleihillard5078 8 жыл бұрын
Games14159 how would you know that?
@frechjo
@frechjo 7 жыл бұрын
His books were kinda intimidating; rappelling down through his skylight seemed like the best option. Or that's what I'm assuming
@gfetco
@gfetco 9 жыл бұрын
Do you guys really understand what a freaking genius this man really is? My children and their grandchildren will read his books, and hopefully their great grandchildren will as well.
@belive-cb8jp
@belive-cb8jp 8 жыл бұрын
IT's Surreal
@joshuarosen6242
@joshuarosen6242 8 жыл бұрын
He wrote one of the seminal works in the field of computing namely The Art of Computer Programming. I studied it at university in the '80s and still remember quite a lot of it.
@Games-mw1wd
@Games-mw1wd 8 жыл бұрын
Enlightenment Aren't your children's grandchildren the same as your great-grandchildren?
@user-ol2gx6of4g
@user-ol2gx6of4g 7 жыл бұрын
Almost no one outside of computer science would read this guy's TAOCP.
6 жыл бұрын
Joshua, he didn't. At least he's not finished yet… ;-)
@RinoaL
@RinoaL 10 жыл бұрын
that was a very nice story, i like how in the end you realize both of those pieces of art work together, as apposed to in the begining you think one conveys our process for figuring things out and the other conveying the precision of mathematics.
@Kaepsele337
@Kaepsele337 10 жыл бұрын
Fun Fact: YOU DID NOT ERR! It is a valid dragon curve but 90 degrees turned. That's the same figure as if you'd do the last fold in the wrong direction.
@Chrnan6710
@Chrnan6710 Жыл бұрын
He certainly errs less!
@wroth
@wroth 10 жыл бұрын
I discovered this as a kid when I stole a whole roll of bus ticket paper and started messing around with it. When I realised it started to make a more complex pattern the more I folded it I then cheated and did the next few steps in MS Paint.I had no idea it was a mathematical thing that had a name until I got to university.
@deepspace
@deepspace 10 жыл бұрын
Respect, this guy is the K in the KMP algorithm.
@Niosus
@Niosus 10 жыл бұрын
Hell Yeah!
@razielhamalakh9813
@razielhamalakh9813 10 жыл бұрын
So you just glance over TeX?
@wolfgangamadeusmozart7067
@wolfgangamadeusmozart7067 7 жыл бұрын
Also the K in the RSK correspondence.
@user-ol2gx6of4g
@user-ol2gx6of4g 7 жыл бұрын
KMP is a trivial algorithm to be honest, there are better things he has accomplished.
@JohnDoe-ki6fm
@JohnDoe-ki6fm 6 жыл бұрын
Umm, yeah... like the whole Art of Computer Programming series of books?
@ZomB1986
@ZomB1986 9 жыл бұрын
I can't believe this, my idol made a mistake. Don didn't make a wrong turn, so his conclusion about it is wrong! Take the image at 6:10, rotate the dragon 90 deg CW, and it will be exactly the red appearing curve. If Don had mistaken anything at all, it's swapping the begin and end of the curve.
@joncarlisle559
@joncarlisle559 9 жыл бұрын
+ZomB1986 wow... youre right
@MathHacker42
@MathHacker42 9 жыл бұрын
+ZomB1986 Ya, I noticed that; it would mean that the start and end would be switched, but the one on his wall doesn't say which is the start or end, so I don't really feel like that matters.
@raykent3211
@raykent3211 8 жыл бұрын
+Ella Jameson amusingly, a work is normally signed at the end, so he got it more "right" than he intended!
@AlderDragon
@AlderDragon 8 жыл бұрын
Wow! I didn't even notice.
@PLF...
@PLF... 4 жыл бұрын
You could say that it's their journey together and where the signatures are is not the starting point but where they are now...
@Moregano
@Moregano 8 жыл бұрын
Wow beautiful ending
@brianpso
@brianpso 10 жыл бұрын
That ending was brilliant! I love when I hear a story and the end hits me like a punch in the chest.
@tombrannan9314
@tombrannan9314 10 жыл бұрын
Don Knuth is an absolute genius, I'm so happy you got a chance to speak with him. I can't wait to see more videos with him.
@frederikwulff411
@frederikwulff411 10 жыл бұрын
Thanks for everything Don Knuth. Wrote all my ten University semester assignments using TeX and LaTeX. Brilliant!!!
@OvyGr
@OvyGr 10 жыл бұрын
So basically his artwall and that writing on the wall say the same thing. Maybe it wasn't an error after all.
@unvergebeneid
@unvergebeneid 10 жыл бұрын
But if it was intentional, then it wasn't an error which means that the intentional meaning is lost and both artworks promptly vanish in a puff of logic. ↯
@unvergebeneid
@unvergebeneid 10 жыл бұрын
Aryan Arora You are starting to way overdiscuss this joke ;)
@OvyGr
@OvyGr 10 жыл бұрын
Party over
@CountlessColumns
@CountlessColumns 10 жыл бұрын
Awesome to finally see this guy speak after putting dozens of hours into an essay on him. Keep up the great work Brady!
@AndersKaseorg
@AndersKaseorg 10 жыл бұрын
Hey Brady, you should ask Don Knuth about 0⁰! He wrote an article “Two notes on notation” explaining (among other things) why 0⁰ is defined as 1, rather than undefined like your “Problems with Zero” video claims.
@MisterrLi
@MisterrLi Ай бұрын
Yes, as people have commented before me, he didn't make an error; the curve has this ambivalence property that different bends in the center lead to still valid dragon curves, just rotated differently! I had this curve on a sweater.
@KindlyRequested
@KindlyRequested 10 жыл бұрын
If the world was made a bigger deal of people like him, there probably wouldn't be wars. This man is so peaceful and calm and intelligent, that it's a shame that i've come to met him only through youtube.
@stefanf922
@stefanf922 10 жыл бұрын
Great story! The mistake gives it a great character.
@soren81
@soren81 10 жыл бұрын
I love Don Knuth! Can't wait for more. You should all watch as many of his christmas lectures as possible. They are amazing!
@razielhamalakh9813
@razielhamalakh9813 10 жыл бұрын
Omigod Don Knuth. Omigodomigodomigod. I'm gonna go re-read "Concrete Mathematics" all over again. What, did you expect "The Art of Computer Programming" joke? It's Numberphile!
@Flyfunner
@Flyfunner 10 жыл бұрын
How is this wrong? Yes he made 1 wrong turn but making this turn "correct" actually just flips the entire thing by 90 degrees. If you compare the 2 versions, the "wrong" one and the "right" one, and just rotate the right one counterclockwise by 90 degrees its identical to the wrong one.
@JorgetePanete
@JorgetePanete 7 жыл бұрын
Flyfunner it's*
@bscutajar
@bscutajar 6 жыл бұрын
The wrong turn is in the middle of the curve so only half of it is flipped.
@gamerdio2503
@gamerdio2503 2 жыл бұрын
@@bscutajar It's still a correct dragon curve. Use an editing software to rotate the curve and you'll see its a perfect match
@SquirrelASMR
@SquirrelASMR 2 жыл бұрын
The way those two pieces of art are linked is awesome. It's better having the error.
@jacderida
@jacderida 10 жыл бұрын
Yes! Great to see all these legends appearing on the channel. Can't wait for the next videos :).
@abdullahalmosalami2801
@abdullahalmosalami2801 10 жыл бұрын
ART OF PROGRAMMING!! OMG! THIS IS SO AWESOME THAT YOU HAVE HIM ON! THIS MAN IS TRULY LEGENDARY!
@tobortine
@tobortine 10 жыл бұрын
This is such a lesson in humility. If a genius like Don Knuth can make mistakes and admit to them then I have no right to hubris of any kind.
@fregalite
@fregalite 8 жыл бұрын
It comes often in human history that 'mistakes' often turn out prettier than the right thing.
@JeanLescure
@JeanLescure 10 жыл бұрын
I clapped at the end of this video... wonderful delivery, both narratively and visually!
@lordofduct
@lordofduct 10 жыл бұрын
YAY, so excited you're going to have Knuth in your videos now! So freaking excited!
@corlinfardal
@corlinfardal 10 жыл бұрын
Gotta love the fact that my phone alerts me to random videos, it lets me be in the under 301+ club and be one of the first to comment! XD
@corlinfardal
@corlinfardal 10 жыл бұрын
Also my comment has the first like and first reply if by me!
@JamieDenAdel
@JamieDenAdel 10 жыл бұрын
Good day! Tell your friends!
@henk6172
@henk6172 10 жыл бұрын
You can configure these notifications, but not in the mobile app. You can on the main KZbin site
@corlinfardal
@corlinfardal 10 жыл бұрын
+Jamie Den Adel I probably will after Christmas break is over I'm a seventh grader with only a few real friends that live a couple of miles away from me. +Harm Prins Hmm, I didn't know that, I will definitely check that out, thanks!
@corlinfardal
@corlinfardal 10 жыл бұрын
Also I can't believe I'm top comment after an hour and 60 comments! This is one of the first times I've ever commented other than to reply to other comments so this is very cool!
@jcims
@jcims 10 жыл бұрын
Wow, what a treasure. Beautiful gesture by the folks at Heath Ceramics as well.
@Finalounet
@Finalounet 10 жыл бұрын
Wow I wasn't expecting this living legend here, what a nice surprise ! Can't wait to see what comes up next featuring this code divinity
@MrJaMaJoGu
@MrJaMaJoGu 10 жыл бұрын
There is no error!! If You rotate the whole "correct" structure by 90 degrees counterclockwise you'll end up with the "incorrect" structere. Then you just have to switch the startpoint with the endpoint
@thevfxwizard7758
@thevfxwizard7758 4 жыл бұрын
I was taught AP Calculus AB by his son, John Knuth. Needless to say, he was a great teacher.
@philipjohansson3949
@philipjohansson3949 10 жыл бұрын
Oh yeah, this is the video with the toothpaste streak!
@kerajit
@kerajit 10 жыл бұрын
I had to check if this "Don" is Donald Knuth, that Donald Knuth. Boy he's a living legend, I have 2 books that he (co wrote) and that guy had huge impact on my education. A living legend.
@johnvonhorn2942
@johnvonhorn2942 8 жыл бұрын
Imagine if Bruce Lee came around for dinner and, as he walked through the door, Don said, "Enter the dragon!"
@sallowsandy
@sallowsandy 7 жыл бұрын
Really brightened a dreary morning :) Wisdom reaches me with numberphile as much as knowledge.
@richardsonthony
@richardsonthony 10 жыл бұрын
My most enthusiastic laudations to Brady and long time daunting inspiration Don!
@silvariuscoyote
@silvariuscoyote 10 жыл бұрын
Finally I understand the chapter heading pictures in Ian Malcolm's Jurassic Park...
@silvariuscoyote
@silvariuscoyote 10 жыл бұрын
Oops, I meant Michael Crichton, not Ian Malcom. Still, it's a pretty cool design
@PLF...
@PLF... 4 жыл бұрын
@@silvariuscoyote > Freudian slip! That pose (in the movie at least) is the most iconic thing perhaps from the entire decade of the 90s
@AlderDragon
@AlderDragon 8 жыл бұрын
At the end of the video it shows Don playing his organ and adjusting a monitor. I'd love to see this extra footage but I can't find it! Does anyone know where I can watch it?
@jkid1134
@jkid1134 9 жыл бұрын
Knuth has an obsession with dragon curves too? I had no idea! I have a folder of them I drew in high school. Incredible.
@Nlenov
@Nlenov 6 жыл бұрын
I'd like to comment on this. But I can't. There is nothing I could write that would feel right on a video featuring Don Knuth. You are so privileged to have met him. Regarding the dragon, if there was an error (which is not certain according to some comments), it would make this even more a work of art.
@gausiano3121
@gausiano3121 4 жыл бұрын
Great Donald Knuth! Thank you for creating the powerful LaTeX. I have written my academic life with it!
@EmdrGreg
@EmdrGreg 10 жыл бұрын
Both beautiful and wonderful. Oh. Just thought of something devious. Including the 'wrong' turn, how compactly could a strip of paper be folded? Would there be a way to fully compact the strip, like a strangely folded map, incorporating the folds as indicated in the art?
@4mathieuj
@4mathieuj 10 жыл бұрын
When will we see a Dr. Grime video again?
@paulgandola9926
@paulgandola9926 2 жыл бұрын
I am fortunate to have been friends with Bill Harter and the late Jack Heighway for over 40 or 50 years. They share the same genius and the love of science and math as D. Knuth. I was happy to accompany Bill Harter to a lunch with Martin Gardner (equally charming, btw) at which this, and other fun effects and phenomena were discussed. Episodes in my lucky live.
@harcovanhees394
@harcovanhees394 Жыл бұрын
1. @1:15. Dragon curve to our left (think it's on their right) 2. Piet Hein is a well known Dutch hero and sailor
@shruggzdastr8-facedclown
@shruggzdastr8-facedclown 6 жыл бұрын
True art is rarely found in absolute perfection but usually where happy accidents happen.
@DarthTwilight
@DarthTwilight 3 жыл бұрын
Golly, I could sit down for a decade and pick his brain, never getting tired.
@BlueMelon555
@BlueMelon555 6 жыл бұрын
After he noticed his mistake I wonder if he sent himself $2.56
@drewliedtke2377
@drewliedtke2377 10 жыл бұрын
Ceramic arts pride! I wonder what kind of clay and glaze you used. Also the firing temperature and style/atmosphere.
@b4ux1t3-tech
@b4ux1t3-tech 10 жыл бұрын
I love mathematics-based art. Congratulations on your beautiful, if mathematically-incorrect, work of art!
@MrAreas2
@MrAreas2 10 жыл бұрын
It´s actually correct ;). You just hjave to flip it by 90 degrees.
@tiger10guy
@tiger10guy 10 жыл бұрын
Geeze Brady. Thanks for having Don Knuth on!
@TheImaginaererfreund
@TheImaginaererfreund 10 жыл бұрын
Brady, I love, how you ask mr. Knuth about his feeling about an error, while having toothpaste all over your face :)
@snyredbaron21
@snyredbaron21 6 жыл бұрын
Donald Knuth is A BIG GENIUS and A BIGGER HUMAN BEING!
@MathHacker42
@MathHacker42 10 жыл бұрын
The curve on the wall is still the correct shape, just turned 90° so that the piece with their names is actually the end and the other one is the start, so it doesn't really seem like that big of a deal.
@wsadhu
@wsadhu 10 жыл бұрын
but that is the middle - so the beginning of the folding - the first fold so the "wright" dragon curve is only rotated 90deg from the "wrong one", otherwise they are the same! if i'm wrong - show me how?
@KurtSchwind
@KurtSchwind 10 жыл бұрын
The Legend: Don Knuth. He is one of the people that got me interested in doing software engineering. I owe a lot to him.
@kevidle
@kevidle 7 жыл бұрын
I think Don Knuth has an extremely relaxing voice.
@jpob5
@jpob5 9 жыл бұрын
If you turned the new dragon counter-clockwise 90 degrees its the same as the original isnt? So maybe he didnt screw up the dragon but forgot where he started maybe
@JorgetePanete
@JorgetePanete 7 жыл бұрын
jacob fife it's*
@RealLifeKyurem
@RealLifeKyurem 4 жыл бұрын
@@JorgetePanete You really don't have anything else to say, do you? Also, you correct "it's", but not "don't" and isn't"? How inconsistent, you're useless even in your self-satisfiying cmments.
@JorgetePanete
@JorgetePanete 4 жыл бұрын
@@RealLifeKyurem Where I live we call that "mucho texto".
@RealLifeKyurem
@RealLifeKyurem 4 жыл бұрын
@@JorgetePanete From where I live, what you're doing is called "saying something because you want to feel smart".
@101jir
@101jir 10 жыл бұрын
Just curious, are there any potential practical applications of the dragon curve, or is it mostly just one of those cool things that come up?
@bilbobaggins4934
@bilbobaggins4934 7 жыл бұрын
I just painted a Hilbert curve on my wall with the inside and outside painted different colors so I had a 0 width line
@cj719521
@cj719521 7 жыл бұрын
How can I find out more about that dude's shirt?
@TWPO
@TWPO 10 жыл бұрын
Great ending!
@allanfloyd8103
@allanfloyd8103 10 жыл бұрын
Speaking of Piet Hein, you ought to do some videos about him and his work...
@keycapslapper7080
@keycapslapper7080 8 жыл бұрын
that ending was perfect
@seijurouhiko
@seijurouhiko 10 жыл бұрын
Knuth is a legend! Love this guy!
@Falcrist
@Falcrist 10 жыл бұрын
Brady, the mathematicians you show are always interesting!
@tiagotiagot
@tiagotiagot 7 жыл бұрын
Would it be possible to break that piece apart while preserving the individual tiles, and reassemble it correctly, using the same space and tiles? edit: nvm, as others have commented, it's not wrong, the whole thing is just rotated 90 degrees
@lawrencedoliveiro9104
@lawrencedoliveiro9104 6 жыл бұрын
Fun fact: Don Knuth’s first published article was in MAD Magazine, a spoof item on the “Potrzebie system of weights and measures”.
@PwnySlaystation01
@PwnySlaystation01 10 жыл бұрын
What a great story. Don Knuth is a giant.
@paulofalca0
@paulofalca0 10 жыл бұрын
Having the error makes it unique, and more human, definitely adds value :)
@TheSentientCloud
@TheSentientCloud 10 жыл бұрын
Oddly enough, it's an interesting take on Chaos Theory too (as all fractals are), as this one tiny change made the entire pattern different.
@Mixa_Lv
@Mixa_Lv 8 жыл бұрын
Well, those wall decorations will stay ewually awesome as long as they stay together. That's a pretty great coincidense afterall.
@kokopelli314
@kokopelli314 10 жыл бұрын
I was expecting a presentation on fractals, but this was way better!
@AdlerMow
@AdlerMow 5 жыл бұрын
Because of the title, I thought for a second this was about the maths of D&D!
@meramera8590
@meramera8590 2 жыл бұрын
Genial! Can I replicate with or without mistake, maybe only three or four iterations at most!
@quitte92
@quitte92 10 жыл бұрын
Isn't the curve on the wall exactly the same just rotated 90 degrees? The images before and after the mistake seem to show that... I'm probably wrong, but that's how it looks to me.
@everburningblue
@everburningblue 10 жыл бұрын
I don't know why, but this almost made me cry.
@PLF...
@PLF... 4 жыл бұрын
This is going on the list of things I'm definitely going to make, but will never get around to
@tom7
@tom7 10 жыл бұрын
Love it.
@mazza420
@mazza420 10 жыл бұрын
the real guy, the best guy, don knuth, booyah
@blackshirtsquad7883
@blackshirtsquad7883 5 жыл бұрын
Legend indeed. Love this man.
@alexanderdreisler9042
@alexanderdreisler9042 10 жыл бұрын
Fun fact: Grook, or Gruk in danish, is a word invented by Piet Hein. The word is a contraction between the danish word for ugly (grim) and beautiful (smuk). Grim + Smuk = Gruk or Grook in english.
@andrescolon
@andrescolon 10 жыл бұрын
Great video. Would love to see more like these.
@Auxon
@Auxon 10 жыл бұрын
Very interesting. Piet Hein (Denmark) is my distant cousin, and we share Piet Hein (Netherlands) as a common relative. Just saying. His grooks are some of my favorite sayings too.
@kentrel2
@kentrel2 10 жыл бұрын
This is really similar to how I used to doodle in college. I had pages of these kinds of diagrams. If only I had Don's knack for science!
@FergusWyrm
@FergusWyrm 8 жыл бұрын
My mistake. I thought misread this video title as "how to turn on the dragon".
@styx85
@styx85 10 жыл бұрын
Any more videos featuring Knuth coming up, or was this a one-off?
@ignaciomartinez6245
@ignaciomartinez6245 10 жыл бұрын
Narrowly avoided an off-by-one error at 2:15
@Niclmaki
@Niclmaki 10 жыл бұрын
Don Knuth seems like a pretty awesome guy.
@davidflores909
@davidflores909 10 жыл бұрын
Yeah, I was wondering why the bulkier chunks were on the opposite side and not where they always are. I even thought that he had mistaken just the beginning.
@normrubio
@normrubio 10 жыл бұрын
That was great! Thanks for that.
@buggyland
@buggyland 10 жыл бұрын
Aww damn Brady, I was hoping Santa was getting you a tripod.
@treyquattro
@treyquattro 5 жыл бұрын
what a great story; what a great man!
@MrRyanroberson1
@MrRyanroberson1 10 жыл бұрын
Heres a video topic for you: dragon curve numbers - each left or right turn is 1 or 0 and that binary number is converted to decimal.
@lydiawhite5811
@lydiawhite5811 10 жыл бұрын
The 'wrong' curve and the 'right' curve look the same to me, just rotated to the right. Correct me if I'm wrong, but I think they're the same. You'd just have to say the other end was your starting point.
@Darkblitz9
@Darkblitz9 10 жыл бұрын
They are the same. Either the graphic is wrong or they're literally Hitler when it comes to which angle the Dragon Curve must be seen.
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