@@stephenkamenar It's just to prove that it has nothing to do with it being previously sorted out in a way or another. You don't actually need it to get the pattern, but you _do_ need it to test/show it
I've wanted to do this for years. I've only ever seen it done with an electric driver under the plate. Using a bowstring is beautifully simple. I guess I would have known if I had ever bothered to google the experiment.
Hey Ben. Love your channel. Yeah, I did it with an electric driver at first. The benefit of that is you get to sweep through frequencies and see the harmonics pop out But I prefer the bow too!
I am a science enthusiast from Morocco and I LOVE it (for more than one reason ;) ) Elegant maths, beautifully explained. I subscribed and will tell my friends to subscribe :)
Brilliant. Never seen this done so beautifully. Very clear explanations. Nice level of equations put in, and scope for the viewer to think about the more complex patterns and where he is bowing and also where he is holding the plate edge with his other hand.
I don't think it would look very interesting. I don't think the slow mo camera would should the vibrations any better, you'd just see the cous cous very slowly migrating to those parts of the plate
Wonderful demonstration and explanation- kudos. My brother and I made and played Chladni plates nearly fifty years ago, and were able to get 22 different patterns. But your plate is much clearer, being bigger, and couscous does indeed work better than the salt or sugar we used. Thanks. Cheers from cold Vienna, Scott
Notice how the couscous never settles at the location where Steve drives the plate with the bow. Also for the later patterns in the video, the lines of couscous always touch Steve's finger. Very neat demonstration!
Super interesting- the patterns come out looking like Buddhist and Hindu mandala patterns, which are basically derived from "observed" cosmic vibrations through meditation and mantras of verse hymns- so that makes sense and makes me think those old chanters were on to something important!
Thank you for bringing this into my attention. I had never heard of Sophie Germain before and when one thinks of how common these patterns are in vibration analysis today, that is quite shocking and a great shame. For example, nearly everyone knows about Lissajou's figures by comparison.
I can't Believe it, some of these shapes remind me of the shapes I see while making music. Often they help out when trying to remember advanced, complex parts. I have a an issue called synesthesia and Ive had it since I started playing music. I'm blown away by this video, thank you!
Wait I see two things you're changing here. You're holding one particular point with your hand (forcing that point to be a node) and bowing at a particular other point (forcing that point to be an anti-node). As you move those two points smoothly, how does the pattern change? Does it deform into the next one?
Well spotted. The pinch point is where the node line meets the edge. And where I bow is where an anti node meets the edge. If I transitioned smoothly I simply can't make a pattern anywhere between the two.
Okay. I guess it's sort of like the non-resonant frequencies of the Rubens tube. I would expect more of the combinations to be resonant on a square than in a tube, but not so many that it would be smooth in between.
These guys made a music video with various cymatics effects, they go into more detail about plate size, shape, and resonance nigelstanford.com/Cymatics/Chladni_Plate
@@SteveMould This looks similar to the way one gets harmonics on a guitar string: by stopping the string to create a node. It works best for the first few harmonics, dividing the string in 2, 3, and 4. Harmonics beyond that are possible, but faint and hard to achieve. And if you stop the string not quite on the 1/2, 1/3, and 1/4 point...it barely works.
Working as a pianotechnician this phenomenon of the chladni plate is very insightfull. Only this video made an addition on that knowledge as you use your finger to help the nodes/flageolet to be. Great stuff!
The fascinating thing is that the pattern illustrates the harmonics you hear. The shorter the distance between the lines, the shorter the wavelength. The shorter the wavelength, the higher the frequency generated within that wavelength. The pattern at 3:30 is very dense and symmetrical, mostly due to that super loud and high harmonic that sounds like your ears are ringing
Beautiful! If you were to use boundary conditions and differential equations to derive those analytically, I would have died happy lol But really, the simplicity of your experiments and how they help build intuition is invaluable.
Did everyone pick up that he was 'playing' the sheet by holding his finger on different parts, and the semi circles would start from where his finger is, then mirror on each side. pretty cool
Seen this type of demonstration a few times now, both on video and in person. Never really gets old, one thing I must admit though... I'm rarely a fan of the sounds that are being produced when creating the patterns. But they are part of the experience and explanation, doesn't make them less unpleasant sadly.
The one that produces the octa circle he's bowing at a 3:2 ratio which is a perfect 5th. The square plate represents Space while the Rosin Bow represents Time and the sand represents the stars and planets.
+Steve Mould i wish channels like yours would be a little bit more popular ... that's exactly what youtube's for in my opinion :D .. not making some shitty reaction videos to other shitty videos :D ... keep doing what you're doing ... much appreciated ;D
Rather neat that you can see the effect of choosing boundary conditions by holding different places on the edge. (for those who don't get this, observe that there is always a line that starts from where his finger is)
That's basically right, yes. With higher notes you get more complex versions of the patterns. It's not quite right to say "an octave up" becasue going up an octave means doubling the frequency. On a vibrating string, doubling the frequency would be sure to get you to another harmonic, but on a square it's more complicated and the next harmonic up might not be at double the frequency.
an octave up is half the wavelentgh, and the distance of the finger and bow is a quarter of the wavelentgh that travel nearly at the speed of sound determined by the material, dimensions.
Siân CD any metal plate should do, it needs to be uniformly made, light, super flat, robust enough to not wobble down from the center to the edge. need to be attach at a the very center with the tiniest bolt you have. if you can, try other perfect shape like triangle, hexagon and so on, you'll make a viral...
Sort of... PROVIDED your "normal table" had a rather specific "harmonic value"... Meaning, the Chladni Plate here was specifically tuned to achieve certain tonal values, and thereby specific wave-forms. There are structures under the plate (besides the obvious support system to allow free vibration) so he can adjust from one tone to the next. While nearly everything structured does have some form of harmonic value, not all are even audible and the acoustics of the material (like wood for example) don't necessarily work so well for maintaining a single waveform long enough to "dance the couscous" into shapes well... Almost any reasonably hard steel plate CAN (however) become shaped and tuned to at least achieve one such Chladni waveform as demonstrated. It's up to research, engineering (hard math) and a bit of precision in craftsmanship to set up a system to get more. You could get lucky, but I wouldn't hold my breath when I went shopping for steel plates and tables. ;o)
I may add the structure, the material, and the shape of the plate are other variable. If not, there is no resonance, the note your hearing, so there is no shape. So one table should have only a limited number of shapes. I may think that the distance of the finger and the bow is a quarter of a wave length traveling nearly at the speed of sound, and that determine the distance between lines. there is something else too called harmonics, wave within other waves that I cannot explain how they could work in that plate.
This is the first science video I’ve seen in a very long time that made me exclaim out loud! Thanks for bringing us stuff that Veritassium, v-Sauce, smarter every day etc don’t do.
Chladni patterns seem to be often mixed up with 'frequency woo' because the importance of the boundary conditions are rarely mentioned. The patterns are presented as 'this is the pattern of 440Hz' rather than 'this is the pattern of a circular plate driven at 440Hz with a clamping that forces nodes at such and such positions'. An astute eye would notice you changing the b.c's to get your different patterns; but I feel that you could have emphasized that more.
Fascinating video and the concept was very well explained. The visualisation of the formula was very helpful. I look forward to more videos in the future.
As I recall, if you use different grain sizes you also get different patterns. Or rather you get inverted patterns if you use something like maizena flour because it will stick to the vibrating parts and move from the node lines.
I think it may have something to do with the air flow caused by the plate vibrating, at the anti nodes you get a lot of air going back and forth and I think the smaller pieces have sufficiently small mass to not be thrown very far by the vibrations themselves, so then they instead get caught in the air going back and forth and sort of hover over the areas that move?
makes you wonder of the background noise we here from what we think is called the big bang, it could just be the vibrations of the actual universe itself as if it were a "bell" of some kind. look at it as if the metal sheet is the fabric of spacetime, the couscous is the matter that was randomly distributed by the big bang untill it hit the optimal resonating frequency which started to cluster all of the bits of matter together. very interesting stuff.
It would be very interesting, if you could make a Video, where all the figures are shown, depending on the spot you fix the table top with your finger. Awesome Video !
Im sure these mathematical equations are used in algorithms to simulate where metal will stress fracture in large machines, airplanes ect. It would be interesting to do this experiment with metal plates with different parts of the plate riveted together and see how the patterns form around the rivets.
the beans are arranged exactly where Steve's finger is. And there is always a ratio of 1.618 between the finger ark and the edge of the square 0:333:073:173:28
I love the acouscoustics of that room..
The "couscous randomization function" is a staple of all modern physics demonstrations.
And the bane of Moroccan chefs everywhere.
manual randomization is as indispensable to modern science as poking things with a stick
+Cuda FX so true
Christmas came early
Who is Christmas?!?
"First I have to apply my couscous randomization function"
but do you? wouldn't it sort itself out
@@stephenkamenar It's just to prove that it has nothing to do with it being previously sorted out in a way or another. You don't actually need it to get the pattern, but you _do_ need it to test/show it
the couscous is actually the seed in his function
Cuz cuz
couscous is actually a grain not a seed
What's even more crazy is that chladni figures were discovered by a guy with the last name Chladni. What are the odds of that?!
Witchcraft
ahahah soo funny
keanu-reeves-whoa.gif
Chladni figures were named after him -_-
@@aoe9015 woooosh
I've wanted to do this for years. I've only ever seen it done with an electric driver under the plate. Using a bowstring is beautifully simple. I guess I would have known if I had ever bothered to google the experiment.
Hey Ben. Love your channel. Yeah, I did it with an electric driver at first. The benefit of that is you get to sweep through frequencies and see the harmonics pop out But I prefer the bow too!
I thought at the end Steve was going to say "A big thankyou to the Centre for Life in Newcastle for lending me their couscous." LOL.
He had to painstakingly collect all of the couscous and return it to them..
I am a science enthusiast from Morocco and I LOVE it (for more than one reason ;) )
Elegant maths, beautifully explained. I subscribed and will tell my friends to subscribe :)
i'm here because of you , thank you ! ☺
I subscribed because you...thnx M.Najib
Here because of Najib , thank you , now let's science the sh*t out of it **
Najib EL MOKHTARI eyyy Najiib
I'm here because of Matt Parker, but hi!
Accoustic couscous??? Gotta love seeing what you hear with something you can taste. Giving me some synesthetic aesthetic, can't forget it!
Brilliant. Never seen this done so beautifully. Very clear explanations. Nice level of equations put in, and scope for the viewer to think about the more complex patterns and where he is bowing and also where he is holding the plate edge with his other hand.
Do you want ants? Because this is how you get ants.
+pronobozo
LOL! :O)
+pronobozo nooooo!
lol maybe the trick will work with ants
Our relationship with ants is weird. Ants are, like, "Hey, I only want these crumbs, ok?" and we're all, "No you motherfucking will not."
+Hi, Neighbor!
Exactly! Once the crumbs are all ate up, they leave.
He would be a great science teacher
Kevin Le what do you mean would be, I class watching this as revision
Steve'S Wife: "OMG! What is this?? Its a mess in here!! Why is there Couscous all over the floor?"
Steve: "I just randomly distributed them"
I would really like to see this in slow motion. How about collaboration with The Slow Mo Guys?
Not to offend him, but he still only has 20 k subs
But great vid
+SM Orbit Yeah but he's a TV guy, you'll get a lot of viewers there
I don't think it would look very interesting. I don't think the slow mo camera would should the vibrations any better, you'd just see the cous cous very slowly migrating to those parts of the plate
A macro shot from the side view of the plate could possibly reveal the movement of the plate, which in slow motion should be very cool!
Wonderful demonstration and explanation- kudos.
My brother and I made and played Chladni plates nearly fifty years ago, and were able to get 22 different patterns. But your plate is much clearer, being bigger, and couscous does indeed work better than the salt or sugar we used.
Thanks. Cheers from cold Vienna, Scott
+Scott Wallace thanks Scott.
Wow, I love both couscous and acoustics. Great vid! Cheers sir.
Notice how the couscous never settles at the location where Steve drives the plate with the bow. Also for the later patterns in the video, the lines of couscous always touch Steve's finger. Very neat demonstration!
Super interesting- the patterns come out looking like Buddhist and Hindu mandala patterns, which are basically derived from "observed" cosmic vibrations through meditation and mantras of verse hymns- so that makes sense and makes me think those old chanters were on to something important!
Thank you for bringing this into my attention. I had never heard of Sophie Germain before and when one thinks of how common these patterns are in vibration analysis today, that is quite shocking and a great shame. For example, nearly everyone knows about Lissajou's figures by comparison.
that was cous cool!
Get out.
stop.
Coach McGuirk
Nah, man.
It's all cous cursed!
I can't Believe it, some of these shapes remind me of the shapes I see while making music. Often they help out when trying to remember advanced, complex parts. I have a an issue called synesthesia and Ive had it since I started playing music.
I'm blown away by this video, thank you!
Wait I see two things you're changing here. You're holding one particular point with your hand (forcing that point to be a node) and bowing at a particular other point (forcing that point to be an anti-node). As you move those two points smoothly, how does the pattern change? Does it deform into the next one?
Well spotted. The pinch point is where the node line meets the edge. And where I bow is where an anti node meets the edge. If I transitioned smoothly I simply can't make a pattern anywhere between the two.
Okay. I guess it's sort of like the non-resonant frequencies of the Rubens tube. I would expect more of the combinations to be resonant on a square than in a tube, but not so many that it would be smooth in between.
These guys made a music video with various cymatics effects, they go into more detail about plate size, shape, and resonance nigelstanford.com/Cymatics/Chladni_Plate
So basically the offset In the resonance from two frequencies changes how it looks
@@SteveMould This looks similar to the way one gets harmonics on a guitar string: by stopping the string to create a node. It works best for the first few harmonics, dividing the string in 2, 3, and 4. Harmonics beyond that are possible, but faint and hard to achieve. And if you stop the string not quite on the 1/2, 1/3, and 1/4 point...it barely works.
Grrrreat explaination!!! I’ve watched videos about this for years and NEVER heard it explained in a way I understood!!! AWSOME!
Wave physics is a subject that propagates through all of science...... Punny XD
Working as a pianotechnician this phenomenon of the chladni plate is very insightfull. Only this video made an addition on that knowledge as you use your finger to help the nodes/flageolet to be. Great stuff!
I beleive you just described a peice of the universe.
Yes, that's one way of thinking of it. "The sky is blue." There I did too! (And I rhymed while I was at it.)
+MarbleGray you're a poet, and you didn't even know that you were one"
Bwahahahaha!!! That's amazing you genuinely made me snicker.. XD
The fascinating thing is that the pattern illustrates the harmonics you hear. The shorter the distance between the lines, the shorter the wavelength. The shorter the wavelength, the higher the frequency generated within that wavelength. The pattern at 3:30 is very dense and symmetrical, mostly due to that super loud and high harmonic that sounds like your ears are ringing
"uncooked" hahahahaha
I know right, I was laughing at same thing but no one here gets it :-D
I don’t get it...
BUT he didn't specify Israeli or Pearl type.:o(
a vivacious presenter. a good case study on how to make an esoteric presentation come alive through rich and striking emoting.
Beautiful! If you were to use boundary conditions and differential equations to derive those analytically, I would have died happy lol But really, the simplicity of your experiments and how they help build intuition is invaluable.
+Silas Ifeanyi thank you! Yeah, i think i could have done that once but it's been a long time since i had to solve equations like that!
I used to see some gorgeous six-sided patterns appear in the swarf when drilling large metal obects with a >10mm drill. Now I know why, thanks Steve!
WITCHCRAFT
spaceye But he's just a duck...
+Patsha Ha
ROAST THE DUCK!!!!!
Stormy Weather roast
the mold!
shut up you dumbass!
spaceye 😂
The shapes, the music, and the physics were mesmerizingly beautiful.
"Couscous randomization function", hahahaha nce! Well done sir.
Joonas Loppi 3:14 ahah
Or should that be, hahahaha rice!
That transition from equation to Excel chart to 3D plot is one of the most fascinating things I've ever seen. It felt like seeing through The Matrix.
"It's a scatter plot--"
The inner-Bo Burnham fan in me: Better call Michael J. Fox to trace it.
Did everyone pick up that he was 'playing' the sheet by holding his finger on different parts, and the semi circles would start from where his finger is, then mirror on each side. pretty cool
1:51 This was designed with couscous in mind. It even has cos in the equation.
Yes I know it means cosign. I'm not a complete idiot.
Seen this type of demonstration a few times now, both on video and in person. Never really gets old, one thing I must admit though... I'm rarely a fan of the sounds that are being produced when creating the patterns. But they are part of the experience and explanation, doesn't make them less unpleasant sadly.
couldnt you use a beaker to pour out the cous cous instead?
+BoomerBoxerReal I admit that would be a better video.
Prassel
eyes open! isn't that what the universe is working? .
Proving that frequencies, thou misunderstood and unexplored, hold everything together
Hi Steve, this is awesome!! If I wanted to do this, what type of metal would I use? Does it have to be a certain thickness?
He is making harmonic intervals with his fingers to produce the different shapes at the end. That is so beautiful cool and amazing.
First, I need to apply my Cous Cous randomization function *proceeds to scatter it with his hands* xd That was hilarious
I was searching for couscous recipes and ended up here, I don't know what's going on here but I love it!
Could you possibly post a few links that offer a more detailed explanation of the mathematics
derek xiao just waiting for the same thing here
derek xiao en.m.wikipedia.org/wiki/Vibration_of_plates
The one that produces the octa circle he's bowing at a 3:2 ratio which is a perfect 5th. The square plate represents Space while the Rosin Bow represents Time and the sand represents the stars and planets.
you got yourself a new sub ;D
+OverlordXVII yay!
+Steve Mould i wish channels like yours would be a little bit more popular ... that's exactly what youtube's for in my opinion :D .. not making some shitty reaction videos to other shitty videos :D ... keep doing what you're doing ... much appreciated ;D
+OverlordXVII yup same here
Nice job. The boundary conditions stayed the same, but you were able to excite different harmonics. Standing waves are great fun.
Are they doing crop circles this way ?
:0
Perseane I'm shook
This blew my mind
they'd have to vibrate the corn field with a super loud sound wave, and the corn field would have to be like a flat sheet of metal.
@@savannahlevy97 who's they
Rather neat that you can see the effect of choosing boundary conditions by holding different places on the edge.
(for those who don't get this, observe that there is always a line that starts from where his finger is)
If you played the same note, but an octave up, would the pattern be similar but perhaps smaller angles or curves?
That's basically right, yes. With higher notes you get more complex versions of the patterns. It's not quite right to say "an octave up" becasue going up an octave means doubling the frequency. On a vibrating string, doubling the frequency would be sure to get you to another harmonic, but on a square it's more complicated and the next harmonic up might not be at double the frequency.
an octave up is half the wavelentgh, and the distance of the finger and bow is a quarter of the wavelentgh that travel nearly at the speed of sound determined by the material, dimensions.
Dude, you are among the finest youtubers. Huge respect.
Do you need a special type of plate/metal for this? Or can you use any metal plate?
Siân CD any metal plate should do, it needs to be uniformly made, light, super flat, robust enough to not wobble down from the center to the edge. need to be attach at a the very center with the tiniest bolt you have. if you can, try other perfect shape like triangle, hexagon and so on, you'll make a viral...
Best video I have seen in a while! Great clarity on a really neat subject.
"...for lending me their Chladni Plate"
Will this work on a normal table?
Only if it has normal modes of oscillation you can induce.
don't think so, he wouldn't have to borrow a table for the experiment.
Sort of... PROVIDED your "normal table" had a rather specific "harmonic value"...
Meaning, the Chladni Plate here was specifically tuned to achieve certain tonal values, and thereby specific wave-forms. There are structures under the plate (besides the obvious support system to allow free vibration) so he can adjust from one tone to the next.
While nearly everything structured does have some form of harmonic value, not all are even audible and the acoustics of the material (like wood for example) don't necessarily work so well for maintaining a single waveform long enough to "dance the couscous" into shapes well...
Almost any reasonably hard steel plate CAN (however) become shaped and tuned to at least achieve one such Chladni waveform as demonstrated. It's up to research, engineering (hard math) and a bit of precision in craftsmanship to set up a system to get more.
You could get lucky, but I wouldn't hold my breath when I went shopping for steel plates and tables. ;o)
Never seen it actually explained why the heck the stuff moves around like it does! That’s so simple and makes total sense!
Perfect science and emotion. Thanks many times!
seems the 2 variables are the placement of the bow and the hand.. correct, or is there more?
+john-felice Ceprano that's correct!
+Steve Mould Maybe the Mandala made by the buddhists try to imitate this natural occurring phenomenon..... Don't you think??
+Rajarshi Bose I was thinking just this!
I may add the structure, the material, and the shape of the plate are other variable. If not, there is no resonance, the note your hearing, so there is no shape. So one table should have only a limited number of shapes. I may think that the distance of the finger and the bow is a quarter of a wave length traveling nearly at the speed of sound, and that determine the distance between lines. there is something else too called harmonics, wave within other waves that I cannot explain how they could work in that plate.
This is the first science video I’ve seen in a very long time that made me exclaim out loud! Thanks for bringing us stuff that Veritassium, v-Sauce, smarter every day etc don’t do.
What is the coding for the couscous randomization function?
+Aiden .C it's, uh, complicated.
0:30 look how he puts his finger where the couscous is because that’s where the plate isn’t moving so his finger won’t disturb the waves.
You, with the black magic... stop it
This is what RUclips needs. Thank you.
I hope he still ate that couscous
Then he played a violin and this is what happened in his upper digestive tract.
O:36 SUCH a grin!
The man does love his work!
awesome
Chladni patterns seem to be often mixed up with 'frequency woo' because the importance of the boundary conditions are rarely mentioned. The patterns are presented as 'this is the pattern of 440Hz' rather than 'this is the pattern of a circular plate driven at 440Hz with a clamping that forces nodes at such and such positions'. An astute eye would notice you changing the b.c's to get your different patterns; but I feel that you could have emphasized that more.
how is that patterns are called again??
sorry, english is not my first language.:S
+MrNTC96 Chladni
Chladni!
amazing. you're right, I have never seen this experiment don't like this before. so mind blowing. love seeing it re-created like this.
Same thing happens when you pour salt on an amp. Every frequency created a unique pattern.
it's sonically like isolating the harmonics of a guitar string to ge the different patterns only because it's a plane an image can be formed
Feels like I'm watching "Fun with flags with Dr. Sheldon Cooper"
Fascinating video and the concept was very well explained. The visualisation of the formula was very helpful. I look forward to more videos in the future.
I can't hear a word he's saying. He's so handsome! 😍
Wonderful demonstration sure to get you a lot of followers.
For the love of Jeebus! Humans need at least a little bit of sleep!
I never knew the lines marked the unmoving parts of the plate it all makes so much more sense now
As I recall, if you use different grain sizes you also get different patterns. Or rather you get inverted patterns if you use something like maizena flour because it will stick to the vibrating parts and move from the node lines.
+Edgewalker001 actually that feels right because you seem to get a fine powder at the anti nodes. Not sure how to explain that!
I think it may have something to do with the air flow caused by the plate vibrating, at the anti nodes you get a lot of air going back and forth and I think the smaller pieces have sufficiently small mass to not be thrown very far by the vibrations themselves, so then they instead get caught in the air going back and forth and sort of hover over the areas that move?
That last one is absolutely beautiful!
The sound of your experiment gave me some good ASMR I'm not kidding
With placing you finger and the bow on specific areas of the plate, it seems to work exactly the same as musical harmonics on stringed instruments.
The last pattern was the ultimate.
makes you wonder of the background noise we here from what we think is called the big bang, it could just be the vibrations of the actual universe itself as if it were a "bell" of some kind. look at it as if the metal sheet is the fabric of spacetime, the couscous is the matter that was randomly distributed by the big bang untill it hit the optimal resonating frequency which started to cluster all of the bits of matter together. very interesting stuff.
This is why cellos and violins have the shapes that they have: it determines the resonance frequencies.
I remember seeing this video many many years ago, steve mould just got recommended again to me n i thought he seemed familiar and this vid is why
3:03 I see a wizard in the couscous
it is when the force to be displaced becomes more numerous in a place which cannot be broken down by the vibration that there is drawing
You can see that wherever he grabs it, lines are comming off that point... meaning you could do some really unique patterns
Physics and dynamics are amazing subjects and the phenomenon they can describe is so vast
those are amazing shapes.. especially the last one..
Great Educational video on 2-dimensional standing waves
My mind was absolutely blown watching this
I wish I had seen this while learning wave guides in my EM class. Thank you so much for this demonstration!
It would be very interesting, if you could make a Video, where all the figures are shown, depending on the spot you fix the table top with your finger.
Awesome Video !
I have known of this phenomenon for years and finally I understand 👍.
Thanks great teaching.
i like that where the instrument moves thet wil be the center of the antinode and where he puts his finger there will be a node
Im sure these mathematical equations are used in algorithms to simulate where metal will stress fracture in large machines, airplanes ect. It would be interesting to do this experiment with metal plates with different parts of the plate riveted together and see how the patterns form around the rivets.
the beans are arranged exactly where Steve's finger is. And there is always a ratio of 1.618 between the finger ark and the edge of the square 0:33 3:07 3:17 3:28
I really love the sound of bowed metal. It's beautiful.
3:27 That is the wonderful sound of hearing loss :D
Wow, did not know this! We were reading a book about this! This is really talented, keep up the good work!!!😁