Це відео не доступне.
Перепрошуємо.
Dragon Curve to Music - Numberphile
Вставка
- Опубліковано 24 лют 2013
- An animated Dragon Curve by Pierre Bernard and music by Alan Stewart.
More links & stuff in full description below ↓↓↓
See our main Dragon Curve video at • Dragon Curve - Numberp...
Pierre: / pierrehervebernard
Alan: / alankey86
Watch Alan play the track: • "Dragon Curve to Music...
NUMBERPHILE
Website: www.numberphile...
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberph...
Videos by Brady Haran
Patreon: / numberphile
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanb...
Sign up for (occasional) emails: eepurl.com/YdjL9
Numberphile T-Shirts: teespring.com/...
Other merchandise: store.dftba.co...
From 0:25 to 0:32 there is a brief portion of the circle of fifths (inspired by the rotation in the animation), with scales that spiral downwards.
I was also inspired by the folding of the paper to create a melody that rocks back and forth. It's difficult to explain.
Most of all, I wanted to wirte something that (hopefully!) sounded good, something beautiful, to try and capture the elegance of the pattern.
:)
I think it is great to see teachers who love their subjects so much they make things like this!?
I wish this could go on forever. It's so relaxing.
Thank you for putting it on our video!
I was literally seconds away from going to bed, but I refreshed UA-cam and there's a numberphile video. You've successfully sucked me back into the black hole that is browsing UA-cam. I hope you're happy. Now I will never sleep.
Very interesting. And I love how the programming and music are by teachers of non-musical subjects. In fact, I always love hearing about music, especially in unexpected placea.
that's okay - glad you watched this too!
As a person who has commented on youtube videos thousands of times during past 3 years, I wish you a warm welcome to commenting world. Keep expressing yourself through this beautiful medium and stay equally enthusiastic. Best of luck! :)
No Don't stop! Keep going!
When I was opening this, I was expecting some kind of "pi music" again ... but this time it was actually nice to both watch and listen to. Thank you!
Alan Stewart was my AS physics teacher last year! One of the nicest people I know and an absolute legend :)
This was beautiful. Thanks, Brady and your collaborators!
Man, this takes the dragon video, and explains it simply yet profoundly. Keep up the good Mr Haran.
For some reason, this is the unique thing that I like from Alan
the melody is hauntingly beautiful
I love how the closed captions just said [MUSIC PLAYING] the whole time.
20 iterations. 20 freaking iterations. Flipping beautiful.
I already knew this but seeing it 'played' sure resets my view. Masterfully beautiful.
i love having the knowledge about this pattern from the previous video
Seriously? Pierre Bernard was my math teacher last year! =)
seem like you had a nice teacher
This theme is so beautifull. Would make many music student jealous.
I wrote a quick Dragon Curve generator in ActionScript once. It curved to its next position instead of being a 90 degree angle and was quite pretty.
One thing worth noting from what I remember (it was a long time ago, around 2005 I think): If you seed the Dragon Curve with a longer set of binary choices or change the number of iterations, you can end up with some interesting variations.
Seeing this be produced fold after fold really shows you how the who thing grows and comes about. You can also figure the pattern out.
its one of the qualities of numberphile that "It never fails to amaze me" :)
Hauntingly beautiful !
Words can't describe how much you have helped me.
I didn't realize you could construct the Dragon Curve this way. Amazing.
Its amazing what can be created from one only line and one simple instruction. Fracts are awesome
How is the music related to the dragon curve? the title sounds as if the dragon curve is made into a piece of music !?!?
That's what the composer does, as far as I know he writes many pieces realted to maths. Just look at his channel (the link is in the description)
Not always. In this case he says the spiraling unfolding of the Dragon curve made him think to use the Circle of Fifths. That's what this song has in it. Lots of cycle5 chord progressions, like V/V - V - I.
Also, no?
To = with in this context
This was cool - made it much easier for me to understand the Jurassic Park video. Thanks.
That's awesome! Really helped me understand the fractal qualities of the dragon curve!
Mesmerising for sure. Would love this as screensaver.
I like this song a lot compared to some of your previous songs. Not that the other songs were that bad, but they weren't my style. This soothing piece that slowly builds in complexity with the animation is very nice.
This would make an amazing screen saver. Continuing until the screen is covered and then undoing itself.. Someone with the acquired skill should do this.
I love the music, really fits to the thing. :-)
That was beautiful.
That is seriously trippy, nice work man.
Brady...this is beautiful. You never cease to amaze me.
It's truly stunning
I think this was beautiful.
Please do a video with alan explaining his thought process for writing this song, that would be amazing.
Very creative! Thanks Brady!
It's so beautiful!
This was awesome. I don't know why, but it was.
Now I'm able to understand the way how the curve forms much better thanks to the animation :) Amzaing video and musik :) thanks for the grate work you do!!!
That was beautiful
It’s crazy how a relatively natural looking pattern emerges from a mathematical thing like this.
And it's on all-caps.. The internet will be proud of you
It makes so much more sense now!
Mesmerizing.
Mind BLown
YES! I was hoping you guys (or someone) would make an animation of the dragon curve! It'll be much easier to explain to my friends now lol
This is so amazing. :D
Your profile picture had me laughing through the video, and I read your comment in his voice.
Wow, the animation really helps visualize how the fractal appears from the folds.
If only this was longer. I could watch this for hours.
ps - I havent tried talking in 'his' voice, never occured to me, but i will now start - hilarious! thanks :)
Beautiful!
Would love an HD reupload of this!
It's sort of weird the way it doesn't change shape in the long run by the end, yet it was definitely changing shape at the start
I find that watching fractal videos with my head full of [censored], can be a very deep meditation. In moderation of course.
the shape can be explained by simply folding a stip of paper many times. what you end up with is this shape of the folded paper if you look at it from the the thin end (when you unfold the paper each bend must be 90 degrees)
15 iterations of 150 looks really cool.
Beautiful
Excellent work!
This was really cool, but I have to say that initially thought it would be some fractal music inspired by the dragon curve (I'm not sure if that even makes sense), which would've also been awesome.
The captions were really helpful
BEAUTIFUL...
*Sheds some tears*
Love this!
i think you did a great job. congrats!
Check the links in the full video description...
that was pretty awesome
This music is incredible. You should feel good about yourself.
Yeah, it is. I found out after posting this that it says "13-iteration approximation" if you fill in more than 13 iterations.
how can anyone not like this?
Wow, try it with with every number over 90 but less than 180 and divisible by 15 (105,120,135,150,165), youll have your mind blown, so much diversity of figures, made by the same method, but with the only difference of the angles
why did u watch it, or keep watching it for that matter? Im always amazed by the ppl who are constantly watching stuff they dont like and complaining, but keep doing so. I have to assume they are actually happy, in a perverse way.
A sped up version of this, looped as a .gif would be pretty cool.
thats beautiful
beautiful!
So relaxing....
As I commented on the other video: You can do this yourself in MS Paint (or other -- just draw a line, copy, paste, rotate selection, move and place (as this animation does) - repeat.
its beautiful
I was hoping it would be an audible interpolation of the dragon curve; oh well, that was still cool
Yep, was waiting for that amazingly original comment. Well done cupcake. :D
Trippiest thing to watch high...
it's amazing what you can do with a sharpie and some brown paper.
Based on (E=ˠM˳C²)∞ the Lorentz contraction of space and time is between the energy and mass. The greater the energy the greater the contraction of space and the slower time will run. Mass will increase relative to this and each ref-frame can be seen as a vortex in space formed by the rate that time flows. C² is light radiating out in all directions forming a sphere that can be squared to form the future probability. The brackets represent the boundary condition of the ref-frame within infinity!
great music!
beautiful
People who had differing opinions??
Are you that egocentric that you cannot imagine that people with varying tastes can dislike this video?
this is so cool
everyone should have enough time for a hobby, and teachers are just people
Chills!
Nice video!
This is an invitation to see an artist theory on the physics of light & time.
Based on just two postulates:
1. The quantum wave particle function Ψ or probability function represents the forward passage of time itself with the future unfolding photon by photon.
2. Is that quantum uncertainty ∆×∆p×≥h/4π that is formed by the w-function is the same uncertainty we have with any future event within our own ref-frame that we can interact with turning the possible into the actual!
i think he have the right to think the video is boring. and to comment about it.. it's his opinion! and how would he like or don't like if he didn't watch?
Well, that got beautiful fast.
that's an interesting question: would you get a hexagonal dragon curve? I think probably not, but it would be cool to see :)
that was beautful
He could be the Dragon, spreading his fiery curve because like, Dragons don't have computers? And we could be in that universe among the infinite number of universes that holds a dragon that can type, and likes youtube.