I love how just as the Professor explains something you immediately see where he's going and a whole load of stuff you never thought about before suddenly makes perfect sense.
I don't find him as interesting as the other people on this channel, but you're right... His explanation of sound had me going, "wow, sound is just how we perceive tiny, fast movements in the air, how weird is that? What if we could do that with all air movements? We could 'see' everything going on around us, without our eyes".
Prof. Tokieda always manages to find a topic that is both easy to get into and interesting to delve into. Fantastic teacher. And thank you Numberphile!
Did you find it by hearing or using some sort of instrument? It's really cool. Also, is it possible that the recording changed the pitch or it is mostrly always the same, even if recorded?
***** I'm exactly the same way. I can identify most pitches fairly easily (E and F being two of them), but other notes are harder. I think B is probably the hardest one for me. Which is kinda funny, because B flat and C aren't too difficult
From a recent video, a three handed mug was demonstrated to be homeomorphic to a torus with three holes which is homeophoric to a hole in a hole in a hole
This is brilliant! A great, easy to understand demo and explanation of the inverse problem. The inverse problem is indeed everywhere in science, e.g. in brain data analysis. The electric or magnetic field pattern the EEG or MEG (respectively) measures from outside the skull can be a result of infinitely many different combinations of sources in the brain, yet we usually want to know where in the brain the acitivity comes from, which requires a solution to the inverse problem. Basically, given the measurement of pitches, we want to figure out where the handles are in the mug. Thanks, this demo will be useful!
Tadashi's point about the inverse problem with the cup is very profound and enlightening. From our point of view, the pitch of the tapping makes sense, and seems to be governed by reasonable and straightforward principles. But someone with just the pattern of sounds might never be able to determine where the handle is. It shows that there are many things we have observed in the sciences that can't be explained intuitively, and that they will require additional observations from different points of view to paint a clearer picture. Very cool!
I really like how Tadashi's stuff all seems to come from a child-like interest in the most mundane things along with enough intelligence to go through with figuring things out. When I grow up, I hope I'm able to do that.
Adding to everyone else's comments, the reason I love Tadashi's video is that he rarely actually uses maths equations (as far as I can remember) to explain what is happening. It's all visual with animations and practical testing, which is great!
Would it work if you just melt wax and drip it on one side of the cup and let it cool? More wax=lower pitch. And if you dripped wax to every 90 degree side of the cup the difference in the 2 pitches should be greater than if you just dripped it on one side, right? Could be a fun little experiment.
Tadashi's explanations are usually really fully formed and to the point. The only major thing I cut was a short explanation of why the cup want's to maintain it's volume, short answer: it takes a lot of energy to distort the cup like that.
It's fascinating just how much beautiful mathematics can come out of something as simple as a mug. Dr Tokieda can really hold your attention, can he not?
Okay...I'm geeking out here.... It's kind of funny how the mathematical side of my brain can interlope upon the creative (i.e. engineering/physical building) side and start to understand the subtle nuances of just what it takes to make things do what it is that you might wish them to do. Take, say...the making of a brass bell. I now understand that if any one point of that bell rim where just slightly thicker than the rest (thereby giving it more mass)...you could produce a bell that would actually produce more than one tone when struck (depending on just where it was struck). This is exactly why I love watching videos like this. These give me insight into the world around me that I otherwise would have overlooked.
Tadashi Tokieda has been my favorite person on numberphile since his first video and he never disappoints. Although there's a lot of other really awesome presenters too who I
The difference in those pitches sounds approximately a half-step apart for both the coffee mug and tiny cup. Sounds approximately E and F for the coffee mug and then A and B-flat for the tiny cup.
wouldn't the pitch difference depend on the mass of the handle(s) that need to be dragged along? or maybe the mass of the handle in relation to the mass of the moving walls of the cup? if that's true it would be a coincidence that both are a half-step apart. unless it's because the handle-to-wall mass ratio is what looks nice for cups.
I used to have a sort of rectangular-shaped bowl, and the dimensions were such that tapping one side produced a C, and tapping the adjacent side produced a G. It was great. Every time I poured my cereal I got a really pleasant perfect fifth.
Oh man, I was able to see where this was going as soon as he confirmed the handle was related. I've been teaching myself guitar and noticed things like this when I found out about harmonics.
I did my masters on structural health monitoring (civil eng) and i've been using the Chinese porcelain example to elaborate on what was it all about. But, i see this and say this was the way i should have been explaining it. Very neat exemplification and it covers the mode shapes and the backwards problem solving issue so well ! I absolutely love this guy's style.... Just to add a note, Dr. Tadashi may find the case of 3 handles that are not 120 degrees apart more intriguing, since it is the basis of very stable honeycomb structure after all.
A funny thing I noticed is. If you have a full cup of a warm liquid. Tap the bottom. It has a singular note. Now stir the liquid and start tapping the bottom once more and it's not a singular note anymore. It rises or drops in pitch.
hey, I noticed it too during a coffee break and wanted to share that as well. You can tap continuously after stirring and the pitch will go up. Because I noticed it with coffee that has a significant amount of foam, my hypothesis was that it was related to bubbles in the stirred coffee slowly coming to the surface.
Every time you hear someone like this explain something, you understand the difference between someone who teaches at one of the best universities on Earth and someone that teaches at your everyday, high acceptance rate university. I feel like I would have been much, much more interested in mathematics with someone like this teaching, I might have even majored in it.
I love how just as the Professor explains something you immediately see where he's going and a whole load of stuff you never thought about before suddenly makes perfect sense.
same. excellent teacher he is
He was very elegant about the "what is sound?" sidetrack. A concise explanation and then swiftly back on track again.
Yeah he basically explained the whole concept of sound in around 20 seconds, it was impressive x)
+
I don't find him as interesting as the other people on this channel, but you're right... His explanation of sound had me going, "wow, sound is just how we perceive tiny, fast movements in the air, how weird is that? What if we could do that with all air movements? We could 'see' everything going on around us, without our eyes".
Tadashi is the only man who can get me interested about cup clinking
also, heehaw heehaw
Lol
MOAR TADASHI
Useless stuff boss level
@@LangKuoch Hahahaha
Because of Tadashi, I am now aware of the very low musical quality of my mug. It is almost as if the manufacturer wasn't thinking about tone at all.
What manufacturer would forget about tone?
How dare they! You should never buy a cup from them again xD
How would apple design a coffee mug?
??.
it was inevitably, I immediately went to my kitchen for a cup and try it...
and after hearing it! I was smiling like a kid!
+Leckam nice work
I really wanted to go to the kitchen halfway through the video hahahah
I did the same!
hi
Hundredth like
(You're welcome)
Whoooom Whooom vs heehooheehoo - that just made me roll on my office floor laughing loudly
Japan...
*insert nuke joke*
+Baran Hekimoglu Oh no, not the nuke jokes! Must... resist...
This is why you don't nuke a country twice.
Goddamnit!
mikosoft this one goes W H O O M M M M M M M W H U M M M M M M M W H O O M M and the other one goes *heehawheehaw*
Full 6:00 . Whoom 6:03 . Heehaw 6:09
6:00 "Heehaw" Take notes, guys, this some scientific stuff.
Wom, wom, wom.
+
This is why we love him.
Hasnain Hossain double comment warning
Nathan Adam got an error the first time. Down with the system 👎
Tadashi's sound effect for an unweighted spring kills me
Kellen Dooley Sounded like doodle-bob from SpongeBob. "Mihoy-NINOY"
sad to hear that.. RIP in peace yo..
Prof. Tokieda always manages to find a topic that is both easy to get into and interesting to delve into.
Fantastic teacher. And thank you Numberphile!
If anyone's wondering, the lower pitch is E6, and the higher pitch is a semitone higher, F6.
And the tiny cup with three handles produces somewhere around an A6, and a slightly sharper A6.
Just wanted to point that out as well. :(
Ah, so it is. Do you have perfect pitch?
Did you find it by hearing or using some sort of instrument? It's really cool. Also, is it possible that the recording changed the pitch or it is mostrly always the same, even if recorded?
***** I'm exactly the same way. I can identify most pitches fairly easily (E and F being two of them), but other notes are harder. I think B is probably the hardest one for me. Which is kinda funny, because B flat and C aren't too difficult
I guess you can say he sure "handled" that problem really well.
Go home Chris.
fossilfighters101 😂😂😂😂😂😆
Urrrrrgh...
Get out!! 🤬
Going with the puns, like Tadashi, eh? 😏
this dude is always awesome.
+
6:04 Made me meditating.
Causes a lot of problems. His classes are AA (always awesome) meetings.
Tadashi Tokieda is so charming and charismatic. Very relaxing speaking voice. I could listen to him all day.
I like the accompanying animations. Really helps me to understand the concepts
this guy is excellent at explaining things
0:41 Jaws theme!
...Or New world Symphony
"Since we're talking about the pitch .., let's imagine ourselves in a pitch dark room"
10/10 Tadashi
never clicked on a video faster in my life
love Tadashi
Tadashi never fails to teach me something new in these videos. Awesome stuff guys!
I once heard « if you are bored, it’s because you are not trying ».
So simple a premise, yet so much to say about it. I love science!
Literally paused the video at the 45 second mark, then rushed in my kitchen to try this :D
I don't know why it surprised me so much that it worked!
Tag yourself I'm the spring sounds
*wuuOMMB WUOMmmb*
_hiiho hiiho_
I just about spewed out my coffee when he made the 'hee haw hee haw' sound effect for the little spring. Caught me off guard lol.
Tadashi is amazing. Every explanation is crystal clear, and he makes any subject absolutely fascinating
He has a brilliant way of bringing out the mathematical properties of the everyday in a non-trivial way, while maintaining intuition.
I didn't even know that different points would have different pitches! I was blown from the beginning! lol
Tadashi is such an excellent explainer. He just entertained me for 10 minutes with nothing but a spoon and a cup...
I'm a Potter, and if you send me your PO box I'll send you a 3 handled cup, 5 handled, whatever you'd like!
i guess you will create those cups with your wizardry...
Only while foregoing visits to the barber.
You could sent it to his attention at Stanford's math department :)
Aedric Donovan Just know that his full name is Tadashi Tokieda.
From a recent video, a three handed mug was demonstrated to be homeomorphic to a torus with three holes which is homeophoric to a hole in a hole in a hole
I never noticed this...really like this guy...always blows my mind 👍🏼
This is brilliant! A great, easy to understand demo and explanation of the inverse problem. The inverse problem is indeed everywhere in science, e.g. in brain data analysis. The electric or magnetic field pattern the EEG or MEG (respectively) measures from outside the skull can be a result of infinitely many different combinations of sources in the brain, yet we usually want to know where in the brain the acitivity comes from, which requires a solution to the inverse problem. Basically, given the measurement of pitches, we want to figure out where the handles are in the mug. Thanks, this demo will be useful!
Love this dude always get excited when he pops up on the channel! Excellent video!
I just absolutely love wathing Tadashi, he has a certain angle he approaches with the information.
Tadashi's point about the inverse problem with the cup is very profound and enlightening. From our point of view, the pitch of the tapping makes sense, and seems to be governed by reasonable and straightforward principles. But someone with just the pattern of sounds might never be able to determine where the handle is. It shows that there are many things we have observed in the sciences that can't be explained intuitively, and that they will require additional observations from different points of view to paint a clearer picture. Very cool!
The vocalisation of the heavy and light springs was just... so perfect
I love how the professor always explains things so nicely
Tadashinis flippin’ crazy. He has the weirdest yet most brilliant demonstrations. I am so enamored by this man.
I love the way the Professor talks, it is just so engaging
I really like how Tadashi's stuff all seems to come from a child-like interest in the most mundane things along with enough intelligence to go through with figuring things out.
When I grow up, I hope I'm able to do that.
Thanks! I want to watch nothing but Tadashi's videos every time I'm on youtube!
Adding to everyone else's comments, the reason I love Tadashi's video is that he rarely actually uses maths equations (as far as I can remember) to explain what is happening. It's all visual with animations and practical testing, which is great!
I love Tadashi's explanations! His voice is so calming too!
I work in sound and vibrations as an engineer and this is a pretty awesome introduction into vibrio-acoustics and mode shapes. Great job!
11 people broke their coffee cups attempting this.
Professor is the best
Ive never been so interested in the cup that holds the coffee, just usually the liquid inside! Thank you!
Impressive explanation skills on Brady's side as well. Amazing animations and great editing
His choice of words is always so delightful!
Make a new instrument by adding different size consecutive handles to a mug.
Or slidables handles and hammers like on a piano :D
Would it work if you just melt wax and drip it on one side of the cup and let it cool? More wax=lower pitch. And if you dripped wax to every 90 degree side of the cup the difference in the 2 pitches should be greater than if you just dripped it on one side, right? Could be a fun little experiment.
And a very affordable one, we should try.
This video is a great demonstration of quantum mechanics!!
Man Tadashi has always been my favorite guest on Numberphile and he never disappoints. More Tadashi!
"Tadashi, stop playing around and finish your coffee" - Tadashi's mom
Could watch and listen to this guy all day. Please make more of these videos. Very interesting topics.
this guy's accent just makes me happy, it's so soothing
My favourite Numberphile video so far. Please post extras (I know it's 11 minutes long and there might not be any).
Tadashi's explanations are usually really fully formed and to the point. The only major thing I cut was a short explanation of why the cup want's to maintain it's volume, short answer: it takes a lot of energy to distort the cup like that.
whoom whoom - said one spring
heehaw heehaw - said the other
I literally had this set as a problem in one of my university exams! I remember scratching my head for hours over it, but this explains it so well! :)
when he made the sounds of the springs it killed me
My intellectual crush: Tadashi.
Me too.
Toph? Aren't you supposed to be blind?
Love is blind :^)
***** Hahaha win
Wow this is one of the nicest explanations I've ever heard for inverse problems
6:40 "Pitch dark room" Nice pun!
The recreation of the logo on the cup was spot on.
I really like this guy, I'm glad there have been so many videos with him.
I've wanted to understand this for so long!! I can die now! Thank you
Hi
that can be arranged....
+David -flamingsword1 The authorities are on the way to your address.
That escalated quickly.
Just give me a call.
I know people...
I always love videos with Tadashi Tokieda. I hope there are many more videos with him in.
I'm loving all of the Tadashi videos. Brings out the math in everyday things. In some ways more physics oriented than many other physics based videos.
Seeing a new Prof. Tadashi video makes me instantly happier.
That's my favorite kind of science right there!
It's fascinating just how much beautiful mathematics can come out of something as simple as a mug. Dr Tokieda can really hold your attention, can he not?
Prof.Tadashi's "lectures" make my day!
Riveting! I so much appreciate all of your videos. Thank you so much for ALL of these.
i love how he explained what sound is sound in like 5 seconds. great repect
The animations are also awesome. The last chime is indeed beautiful 😊
My life would be complete if you started an Audiophile channel, or even a Physics channel with a sound and audio sub-channel.
Don't think I could've understood this without the fantastic animations ... and Tadashi's wonderful sound effects ;)
Okay...I'm geeking out here.... It's kind of funny how the mathematical side of my brain can interlope upon the creative (i.e. engineering/physical building) side and start to understand the subtle nuances of just what it takes to make things do what it is that you might wish them to do.
Take, say...the making of a brass bell. I now understand that if any one point of that bell rim where just slightly thicker than the rest (thereby giving it more mass)...you could produce a bell that would actually produce more than one tone when struck (depending on just where it was struck).
This is exactly why I love watching videos like this. These give me insight into the world around me that I otherwise would have overlooked.
Great animations! They really helps to understand how the things work. :)
I don't know if I love the explanation more or the animations!
This is so cool! The best introduction ever to inverse spectral problems! Thanks!
Tadashi Tokieda has been my favorite person on numberphile since his first video and he never disappoints. Although there's a lot of other really awesome presenters too who I
His English is so excellent and learned but his Japanese accent so authentic. I love listening to this man.
Gotta find your cup with three handles? Big Rigs has you covered.
*****
You're winner!
+Noble VI late for work? drive backwards through the buildings!
So has Cliff Stoll.
When it finally clicked in my head what he was trying to tell me, I just couldn't help but smile. I love learning new shit.
I love professor Tadashi's sound immitations :)
Numberphile teaching math: 🤓
Numberphile teaching physics: 😎
I like these videos where this professor explains things in a tactile way paired with animation
Please never stop making videos with Tadashi
The difference in those pitches sounds approximately a half-step apart for both the coffee mug and tiny cup. Sounds approximately E and F for the coffee mug and then A and B-flat for the tiny cup.
wouldn't the pitch difference depend on the mass of the handle(s) that need to be dragged along?
or maybe the mass of the handle in relation to the mass of the moving walls of the cup?
if that's true it would be a coincidence that both are a half-step apart. unless it's because the handle-to-wall mass ratio is what looks nice for cups.
The tiny cup pitch difference is definitely microtonal. Probably 30-40 cents.
The tiny cup actually sounds like it's difference is only in upper harmonics. Seems like base frequency is the same
mikosoft Well, the sound of the tiny cup ringing is chock full of overtones anyway.
I used to have a sort of rectangular-shaped bowl, and the dimensions were such that tapping one side produced a C, and tapping the adjacent side produced a G. It was great. Every time I poured my cereal I got a really pleasant perfect fifth.
I love this professor, always finding interesting topics in everyday things!
Stanford cup? Stop with the product placement, Tadashi.
I thought the same.
Guys, I think he works there... Maybe put away your tin foil hats for a moment and enjoy the video.
product placement is illegal in the UK...
Really?
MagniloquentlyPuncturedKeyboard or MPK Yeah @10:35
voice - noises
bird - light chirping
cup - SMASH CUP WITH SPOON
I love it
I would buy any audiobook narrated by him.
Oh man, I was able to see where this was going as soon as he confirmed the handle was related. I've been teaching myself guitar and noticed things like this when I found out about harmonics.
Love seeing cool phenomena like this emerge from every day objects and experiences. Great stuff!
I did my masters on structural health monitoring (civil eng) and i've been using the Chinese porcelain example to elaborate on what was it all about. But, i see this and say this was the way i should have been explaining it. Very neat exemplification and it covers the mode shapes and the backwards problem solving issue so well ! I absolutely love this guy's style.... Just to add a note, Dr. Tadashi may find the case of 3 handles that are not 120 degrees apart more intriguing, since it is the basis of very stable honeycomb structure after all.
Gotta love, how Tadashi kept slipping in puns to his explanation, very casually 😅.
A funny thing I noticed is. If you have a full cup of a warm liquid. Tap the bottom. It has a singular note. Now stir the liquid and start tapping the bottom once more and it's not a singular note anymore. It rises or drops in pitch.
*****
I noticed it with tea and that has no powder nor residue in it at all.
+Niels Schellekens The reason tea is darker than water is because it had tiny tea particles in it.
SadEugene
That's my guess too but it doesn't do both. It's *either* up or down. Not up and down like a wave.
hey, I noticed it too during a coffee break and wanted to share that as well. You can tap continuously after stirring and the pitch will go up. Because I noticed it with coffee that has a significant amount of foam, my hypothesis was that it was related to bubbles in the stirred coffee slowly coming to the surface.
I'm really enjoying this Tadashi fellow
Every time you hear someone like this explain something, you understand the difference between someone who teaches at one of the best universities on Earth and someone that teaches at your everyday, high acceptance rate university. I feel like I would have been much, much more interested in mathematics with someone like this teaching, I might have even majored in it.
Tadashi-San videos are always amazing!
I could listen to his voice all day.