I recreated the Rings of Power with a vibrating square
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- Опубліковано 12 тра 2024
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The title sequence from Lord of The Rings: The Rings Of Power looks a lot like Chladni figures (2D standing waves) so I tried to recreate it!
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3D standing waves next! I just have no idea how to do it.
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Just that
ua-cam.com/video/odJxJRAxdFU/v-deo.html
This is amazing!
Someone else made a flame square version of your flame tube. That's the only 3D one I've seen
What exactly do you mean by 3d standing waves? Unless you simulate them that is.
In a zero gravity environment, use a 3-dimensional shell which can be statically charged to attract particles in a way similar to if the shell had its own weak-gravity, and control the pressure inside of the shell with pneumatics or hydraulics set to a variable frequency?
It makes sense that a story set in the early days of the world of Tolkien would use standing vibration waves pushing matter around as a visual motif. The entire world was sung into existence...
Oh you're right, it was!
the music of the ainur
I can't tell if this is or isn't sarcasm.
I'm not so sure 2nd age qualifies as "early days" of arda... It's closer to the time of LOTR than to the creation of the world.
Yeah, well it's nowhere near early days of Arda during the 2nd Age.
Even if it wasn't actually made with Chladni figures, the visual motif to look like them is such a cool and unique idea for a title sequence, and whoever brought up the idea deserves a raise.
but unfortunately, the tolkien world is busy hating on anything and everything to do with the show, so that won't be happening anytime soon
@@kiruthikpranav5047 Meh, that always happens with adapted things, they hated on the movies back in the day too, don't think it means that much. I really liked the show, particularly how they handled the various species. Especially the elves I think comes trough much better in this show than in the movies, dwarves and humans too. The whole hierarchy from most ethereal to least ethereal shines trough in everything from visuals to dialog to symbolism trough out the whole show, and I really liked that they put so much effort into keeping that consistent trough out even though it's not something that is very noticeable on the surface level. Really took the whole world building ideas Tolkien is known for to the next level. Unlike many other adaptations, this one along with Foundation are some of the best adaptations ever created in my opinion, despite what many fans and critics might say. Besides, I know of many fans that actually liked the series, they're just not crying about it on the internet all day. Jess of the Shire, a YT channel, seemed to mostly like it, and she's definitely a big fan, so it's not all negative, it's just that the media likes to amplify negative voices.
I feel like there's an important possibility you missed here Steve, the patterns could have been generated on a stationary plate, destroyed by Chladni figure generating vibrations, and played in reverse. That's not to say the CGI possibility isn't also highly likely, but since it's basically brownian motion between the node lines and generating these patterns would be a pain in the a** by hand.
To me, that's obviously what's going on.
Yes I completely understand what you just said
It's more than obvious, the RoP intro uses CGI (no problem with that). E.g. you can see it, when sand corns just disappear.
No need to do it by hand. Software like Houdini can do wonders when it comes to particles and flow simulation.
What about the end of it when grains are flowing in a circular pattern to the center of the figure ? Seems pretty cgi to me
I feel like Chladni figures are a good visual example of electron fields. The way they interchange particles due to movement from an external force. Pretty neat!
They really are. Electron orbitals are like the harmonics of the quantum wave function of the electron.
Hmmm. Was thinking the same
Curve the flat surface into a sphere and you get even closer! Something something Legendre polynomials, I think
@@SteveMould I just came to the comments to say exactly this about orbitals!
I would like to see this done in supercritical gas in boxes in 0g!
They are a nice visual representation of some of the MATHEMATICS of the solutions to the partial differential equations of physics. They are also - obviously - visual representations of what sand actually does in response to the surface of the plate. As a physicist I can tell you that the picture here only has a loose correspondence to some of the analogous mathematics that describes the quantum mechanical behavior of a electron subject to certain forces and boundary conditions. What is actually "going on", in as much as that question even means anything in the quantum mechanical context, is not very analogous. One example would be in quantum mechanics the nodes (places where the amplitude of wave function vanishes) are places where the electron ain't, not places where it would be especially likely to be found as with the case of the sand. Still, the different discrete "normal modes" that you see ARE analogous to the discrete states of quantum mechanical systems with certain boundary conditions. One of the most important examples of that are the discrete states (and the corresponding shapes of their normal functions) of electrons in atoms which ultimately is behind all of chemistry - the Ainur singing the world into existence indeed!
Interestingly, even partial differential equations for physical systems that never behave in this interesting way - the diffusion of gas in a box is a simple example - also have a countably infinite discrete solutions like the one pictured in the video, but the real behavior is always superposition of many of these, and the behavior of the gas does what you expect it to do which is to spread out until it has the same density everywhere, so a lot more boring. But very similar math.
That Gollum impersonation was amazing!
that will never get out of my head
"No it wasn't, it was crap!" Said in a Gollum voice...
British W
I guess your voice must sound like that when you sit on a cold Chladni plate.
As well as some CGI, I wonder of Rings of Power is starting with the patterns they want, and then vibrating, then running the footage in reverse.
Damn you're smart.
Mmm most likely reverse sounds correct
Love the gollum bit Steve 🤣
The way you pinch the plate to force a node is used by guitarists (and probably some other stringed instrumentalists) as well. They will touch the string at a particular point to force a higher note out of the ringing string: often much higher, especially with electric guitars, which can more easily compensate for the lowered volume. (I guess technically they're really removing the lower-order harmonics and making the forced one the dominant frequency of the string.) These are actually often called "pinched harmonics" (although this usually refers to doing it by intentionally touching the string with your picking hand as part of the motion of picking). You can obviously hear this change in pitch as you're bowing your plate.
Good point! Perfect lower dimensional equivalent
Metal guitarists love this thing too much
We do this on the violin too. We press our index finger down and gently place our pinky up 1/4 of the string to get the harmonic 2 octaves up. By sliding up and down, we can play continuously this way (it's very difficult though, since the distance between your fingers is slightly different for every note).
For an excellent example, check out the third song from Bartok's Romanian Folk Dances (arranged by Szekely for violin/piano)
This is the song I mentioned above ua-cam.com/video/iT1botcYbn4/v-deo.html
@@DonkoXI It works the same for the pinch harmonics, which is why you would stick with a single tuning in guitar because you know everything changes.
2016 Steve made me feel like a genius when I saw the opening for Rings of Power. So glad to see you come back to it here in 2022 in light of the new intro! I don't have enough thumbs to like this video.
You are an exceptional educator Steve; I often think about how I will teach my students using your techniques.
3D standing wave (in air) is just sound, i.e. a tone that matches the resonant frequency of the cavity that contains it.
1 mode to rule them all
I can appreciate how much work each video takes, so I must be really exciting for you each time the video launches. Keep up the good work!
I've just watched the trailer of power of rings. For me it look, if they had drawn some of the patterns by hand first and then started the vibration to transition it to a real chladni pattern. Then just played the footage in reverse. so it looks, like this floral patterns created naturally. Make it look very mysterious. Good job explaining and a beautiful trailer remake, by the way.
You make a scarily convincing Gollum. I don't know if that's a good thing or not, but I had to say something about it. I enjoyed your revisit to the world of Chladni figures. I can't wait for you to take this to the next step - three dimensions.
But wouldn’t that require a 4th spatial dimension for the anti nodes to jiggle in? A standing wave on a string requires the 2nd dimension for the anti node sections to oscillate without affecting the position of the nodes, a cladin plate requires the 3rd dimension for the same reason. Since we can only observe and manipulate 3 spatial dimensions I don’t see how a 3d standing wave would work
@@voidify3 Steve's pinned comment was "3D standing waves next", so even though he didn't know how he would do it when he wrote that, at least he's considering it. Of course, that was 7 months ago, so maybe he has been stuck trying to figure out that pesky 4th dimension issue all this time.
@@voidify3i don't know anything about these things so correct all that is wrong
bUt the 'dimension' doesn't have to be spatial, sound waves obviously travel through 3d space and the extra bit of information, the additional 'dimension' is local pressure
in earthquakes you can also see different waves that can form, i think they are based on sideways displacement of the earth
lots of things can propagate waves through 3d space, the trouble would obviously have to be whether any can be visualised in a small system
for a 3d version, the first thing i'd think of is sound travelling through water sprinkled with some filings of a material of similar density, but i don't know if that would work
This channel is seriously underrated. Beautiful explanation as always Steve !
I haven't seen it mentioned (yet), but the Stormlight Archive series from Brandon Sanderson has some interplay with Chladni figures and the way the world works
I came to the comments here looking for the Stormlight Archives
I hear about that series everywhere i go.
Does it really live up to the hype?
I mean, I think so!
I'd probably start with another series of his to see if you actually enjoy his work, but if you're not intimidated absolutely give Stormlight a go
These words are accepted.
I read Stormlight only just recently, and all I could think about was these two videos
Omg your Golem impression was incredible
Really cool! When I first saw the intro to the show I went back and rewatched your old video on Cladney figures - this one is certainly more cinematic :)
Thought of your video the second I first saw the title sequence! Knew this was coming! Thanks for coming through!
That Smeagol impression killed me! You made my day, thank you! :D
Oh, beautiful! Well done on the maths, the visuals, AND the Gollum impersonation! I loved it ALL!
👏🏾👏👏🏽👏🏿👏🏼👏🏿👏🏼👏🏾👏🏻👏🏿👏🏽👏🏿👏🏼👏👏🏾
_~standing ovation~_
👏🏾👏🏿👏🏼👏🏽👏🏿👏🏼👏👏🏾👏👏🏽👏🏿👏🏻👏🏿👏🏼👏🏾
Once again I am astonished about the thought and work put in this video, bravo!
The first time I saw the title sequence I decided to use it as an example for my students.
And a few weeks later you give us this perfect video, thank you this will make preparing the lesson so much easier. :)
This is awesome - I love seeing the "real" version of a clearly cg thing! that said, this title sequence got my brain going too. for years (probably since I saw your first video about these) I've wanted to build an arbitrary chaldni generator. here are a handful of ways you could do it, playing with boundary conditions, using multiple actuators, driving with more complex waveforms, or in the least-dynamic mode, modifying the sheet's springiness or mass locally, but regardless any of these requires a LOT of math... Since this would necessarily require a huge pile of simulation, I'm curious about your simulated patterns not lining up with the actual ones - did you glean any idea of why/how they failed to predict the nodal lines? My gut would say that the equation assumed the actuator in the center of the plate was the center of a tall antinode but based on your 1d strip example, that didn't entirely pan out?
I figure it is either the boundary conditions being slightly off, or perhaps the thickness/stiffness of the plate makes the model inaccurate?
The intro sequence is not "clearly cg" and was even confirmed to be practical.
@@armstrong.r I will have to check but I think the particles in the opening sequence move towards a point and then appear to vanish. That is a bit of a CG give away. Very good nonetheless.
@@2BadgersBlue that could be just some compositing magic but I agree that when I looked at it, it seemed to be at least partly CGI with very good reference shots.
@@armstrong.r the weird symmetries that Steve pointed out along with the more complicated shapes like the tree don’t feel very physical unless played backwards as others have said, and then the exact same style of particle starts doing the “flow” thing without evidence of an obvious driver like a magnet, so I assumed the whole thing was rendered.
Where did you see it said practical? I’d love to know how it was done!
I didn't see your first video back then, but here this one is: great, extraordinary, exceptional, outstanding, remarkable, ...
Thank you for making educational videos like this fun and easy to understand.
Have a nice day!
I've been waiting for this kind of practical explanation ever since the first episode - thank you!
It's amazing how well you're able to describe things, I'm sure I've seen your other views explaining it, but going in I was expecting a 10 minute explanation why this works, but I completely understand after like a 2 minute explanation, same with all your other videos
It’s insane how vibrations can do this! Science truly is magic ❤
It's not though. That's the point..
@@kapowbalw dont be so literal, you know what she meant
@@KevinUchihaOG that's true.
I'll preface this by saying I haven't watched Rings of Power
But I do find the idea that they used something like this as their intro actually quite interesting.
One of the themes in Tolkien's work is essentially that God / Eru Ilúvatar who along with his Angels / Ainur sang the world into existence
By showing something like this in the intro they could very well be showing a practical example of how something like that is possible.
Music is just vibrations after all and this is using vibrations to create ordered structure out of chaos.
You could even go so far to have it explain how a deity could influence the world sending vibrations that make it easier to settle in places that are in the pattern that it chooses.
I haven't seen Rings of Power either. I tend to avoid fanfics. But I can appreciate the production value.
The video from the production company linked elsewhere in the comments all but confirms that this was why they chose to use this for the intro
Love your sequence at the end - I too thought of your video when I saw it but assumed it was probably all GCI just inspired, especially when they did those 'trees'.
Love this we use a lot of RNA vibrating conveying systems at work using moving 'standing' waves to move parts with out rollers is a common thing in industry.
Better than the show! but that doesn't take much thought.
Love your content!
3:38 I think they could use high-tech CGI called reverse the tape.
First form this Triskelion, then induce vibration to smear the sand. Reverse the tape and you have chaos sand forming a shape.
Another explaination is using some putty under the plate to act as dampener?
Yes, this is played backwards
Well done! Absolutely the best video recreating something from a video I have seen. I thought it was using Chadni plates the moment I saw it, so this was a real treat to watch.
Great video! I definitely recognized the inteo scene from your video, and love that you made a follow up.
Hi Steve, I found a weird effect. With some powders dissolved in water (for me it worked with Milo because I'm from Australia) if fill the cup about half way, and then stir in one direction and then stir the other way to stop the flow, then start tapping the side of the mug, the pitch goes up with ever tap. I have no idea why this happens
That's called the hot chocolate effect, and it happens even without the stirring in the opposite direction. As far as I'm aware the cause is unknown, but I'm not certain on that.
EDIT: as voxtopass pointed out, Steve already has a video on this (it's probably where I first learned about it), including an explanation.
ua-cam.com/video/7Hr_zFdNW5Q/v-deo.html
Steve has explained: ua-cam.com/video/7Hr_zFdNW5Q/v-deo.html
He's done a video on this already
it's probably cause some of the powder settles in the bottom of the mug, thus making the resonating part of it essentially smaller, producing a higher pitch
I had forgotten what these were called or that your channel was where I'd learned about them back in the day but I was hoping that one of my educational youtube subscriptions would tackle this and you did it better than I could've hoped for. And the Gollum bit, hahahaha! Thanks :)
This is actually a surprisingly good introduction to many of the topics you would see in a structural dynamics course. This is quite refreshing considering the overall quality of most edutainment-type stuff on UA-cam. Granted, you left out the derivation of those equations, but that's a graduate-level topic requiring a semester or more of study.
Absolutely incredible! I was wondering about that! Thanks!
Best bit of the entire show am I right? 🤣
so is it possible that vibrations in a 4th dimensional reality are creating all the 3D shapes we experience just like the the 2D plate forms the 1D lines?
I loved the Steve Mould intro and backing music. Great way to end the video.
Wish you would of included the frequency used for each pattern. As regards to your circle pattern, I have found two. I need to find my notebook, will post the numbers when I find it
Any chance you’ll post the unedited time lapse of the different frequencies? It’s totally beautiful
Thanks, as always, for the fun deep dive! 😊 your channel is such an absolute delight for the curious mind. I like to imagine small children stumbling across your videos and becoming inspired to pursue a life/career in pursuit of knowledge and become a major asset to their society like an engineer, physicist, etc.
Love this video. Thanks for what you are doning Steve
Amazing video! Thanks for promoting such nice view of science. I was just wondering what could happen if the dimension of the vibrating object was fractal, not an integer but something between 1 and 2, for instance. Maybe one way to test this would be a plate with a couple of holes of different size or having a fraction of the plate being made of a different material. Do you know if there is any study in this direction? Thanks again and success to your channel! I am already subscribed.
I recognize one of these resonance patterns, also in metal, stamped tin ceiling in my house. Crazy part it, house is surrounded on all sides by fright trains in the air. I'm wondering if it had vibration suppressing properties, only a few rooms still have it, but and oddly the plaster survived better in the rooms with the ceiling.
Wow!!! That final sequence was amazing!!
I just rewatched your first video on this thanks for the update
Can we all appreciate how Steve looks more and more fantastic as the years go by? Those are some genetics I'd bottle for the future.
If rings of power was as good as Steve moulds video I would watch it.
Keep up the great work Steve 👍
You're throwing me back to the string theory course I watched, with von Neumann and Dirichlet boundary conditions. I used to know which was which.
I think more thought went into your video about the title sequence, that the whole script for season one of RoP. Amazing video dude.
I’m studying structural mechanics, and no one has explained to me what a boundary condition actually means better than this video…
You never experimented with different plate shapes with the vibration generator! I wonder if that one you were trying to recreate from Rings of Power might have been easier on an octagonal plate (or even octagrammal? Is that a word?). You'd also be able to get higher modes if you used a larger plate, since it would have lower resonant frequencies. I also wonder now about other boundary conditions--what if you forced the plate at multiple points, with different phase relations? Or even different frequencies (probably in simple rational ratios like 2:1 or 3:2)? I bet with a whole array of transducers around the edge of a plate, you might be able to use phased-array techniques to put all sorts of patterns on the interior...
This is really awesome and the fact that you had done something like this is awesomer.
Steve! Thank you so much. That's exactly what I was thinking, when watching the RoP intro. Neat.
One thing I'd be curious about is if particle size plays a role into what nodes are visible.
Theoretically it should not matter.
What if there are more than one fixed points (not constrained to the edge) and more than one vibrating points (not necessarily at the middle or edge) at more than one frequency. It seems like you could get an infinite number of patterns if you did that.
Probably, but the interference between vibrations would likely make it extremely complex indeed to control
There are indeed an infinite number of patterns - but the more complex the pattern, the higher the frequency you need to input. Fundamentally, what you're proposing changing the boundary conditions, which makes it an entirely different system - just like changing the shape of the plate would be.
This is very similar to the idea behind the Fourier Expansion, and Fourier Series, in mathematics. Essentially, any function can be described as an infinite sum of sinusoidal functions with proper coefficients. Taking the first several terms in the sum is a good approximation of the original function, and is sometimes easier to work with in calculus.
Absolutely brilliant!
You made me remember how long I am following you. As always a fantastic video. Thank you for your work 🙏💖
Could you realise 3d standing waves using particles suspended in a liquid? You might need to eliminate buoyancy issues but could it work?
Maybe with particles of the exact same density as the liquid?
Take a look at some of the UA-cam videos on acoustic levitation or acoustic suspension.
Would attaching weights at various positions on the underside of the plate change the boundary conditions? Would that create different patterns or does it only work from the centre or edge of the plate?
That would probably work similarly to pinching more points and forcing more nodes
This was great Steve, well done.
Therapist: Steve Sméagol isn’t real, he can’t hurt you.
Steve: My Precious!!!
4:20 Ok but what would happen with a circular Chladni figure?
That would be a cymbal ua-cam.com/video/mXJII61tvcg/v-deo.html
This would have been so much better for a Stormlight Archive series since this effect actually has plot significance.
The creator god of Middle Earth created music which made the world. Sound is incredibly relevant!
I hope you had fun with that cinematography. That's what it's all about
That was exactly the Idee I got from the intro!!!!! Glad, you also make an extra video!!
Rings of Power is a spit in the face to Tolkien.
Can you re-create the rest of the show now though, so that it's actually good?
I can tell you had fun making this video, that makes me happy
7:50 - oooohh! It just clicked how wind instruments actually work. By opening and closing ports, you are setting or removing boundary conditions at various lengths.
...of course you did.
this will become the top comment
10:58, loved this effort like your other videos. Great job.
I have next to no physics education. But this topic was fascinating!
I'm so keen to see how this interacts with other principles.
Or if we looked closer at the musical quality of the vibrations creating the patterns, maybe to find interesting correlation?
Great stuff!!
Legit the first thing most of us thought of was you when we saw that intro. You are the best.
Well done Steve. Beautiful video 🎉
Spectacular acting, Steve!
Super didn't expect this to come up in one of your videos but I really appreciate your homage to what Is, in my opinion, the best scene of the best character from Lord Of The Rings. Phenomenal
I thought of you Steve as soon as I saw the intro when I watched the show. Spent the first few minutes of the show wondering if those patterns were possible without a computer effect.
Thank you, I literally waited for this video every time I saw the RoP intro
NO WAY I’ve been thinking about this like two weeks in a row and here you are explaining it omg
A great video. Thanks Steve.
The greatest thing I love about the rings of power intro is how baddly it demolishes the compression algorithm especially just before the episode actually starts
Wow, 2016 and 2022. Time flies. And you are still contributing to the scientific world. Really appreciate it 👍👍👍
Hell yeah, I'm glad you did this
I've been waiting for this video since the first episode!
Very cool. Feel asleep for most of the show but the title sequence got my interest. Nice to see this.
your videos are just amazing! in the first 3 minutes i had like 5 separate oh shit moments where everything you explain just clicks and makes perfect sense
What I want to know is, is there a specific geometry of a plate and particle size such that the resonant frequency will match up with the sound of someone screaming, so we can create a chladni figure of someone's scream.
Mind blown, this was great!
I saw ROP intro for the first time at your video just popped up in my head like a jolt, and i wowwed
A beautiful visualization of the music of the Ainur
Always a pleasure Steve. Cheers 🍻
once again a great video. thank you sir
I thought about you at the very first second of the intro of the Rings of Power. Thank you for making this video :)
Chladni end of video... so informative!!