Probably, yes (see ua-cam.com/video/mgC3gw2kbBE/v-deo.html for a simpler geometry). The fractal geometry might enhance particular high-frequency resonances, though.
@@NilsBerglund Very cool! I think it would be a more "fair" comparison if the area of the black squares was kept constant; in this video each level adds more area.
I'm also curious what happens as the ratio of the wavelength to the square spacing varies. Is it possible to build something akin to a Bragg reflector or a Bragg filter using a Serpinski fractal?
That’s primarily due to absorption effects, which I don’t think are modelled here. This simulation just shows how the reflections lead to the wave energy becoming more diffuse more quickly, as opposed to reaching the shore in one go. The same sooooort of applies in a club, but 3D acoustics are very different so surface acoustics.
I got a Physics prize at school (and they had to hire an advanced Math teacher) in 2020 I worked for Aston Martin JCB Porsche Suzuki - they fired me with pneumonia I was in ICU
No it's not a square, our mind is not able to picture it but some math can reveal the amount of area it covers, and it's way less than what a square would
@@ekosh6266 Let's do the math then. The first iteration splits the square in 9 pieces and removes the middle one. The second iteration splits those each in 9 pieces and removes the middle ones. The third iteration splits those each in 9 pieces and removes the middle ones. I hope it's clear each iteration multiplies the remaining uncovered area by 8/9. after infinite iterations, the leftover area is 8/9^infinity which would be 0, so the shape covers the whole square. Did I get that right?
@@Drawoon Okey yes, you got that right, but unfortunately, a set having area zero does not mean it's empty. Or the opposite, even if adding infinite squares add up to the total area we are aiming, it doesn't mean it ends up being the whole square. Easy proof: give some coordinates, the bottom left corner of the container square is (0,0) and top right is (3,3), then our fractal will never contain the point (2,2) (for example, it will never contain many other points, infinitely uncountable points are left out) . Hard proof: search for the Cantor's set and diagonal proof.
Boh non è considerato che il suono si propaga anche nei muri, tecnicamente in questo modello finisco un semplice muro continuo è un isolamento perfetto
@@il_vero_saspacifico6141 ho pensato che una parete semplicemente ha un certo coefficiente di assorbimento che va ad attenuare il suono. Una struttura come questa ha dalla sua parte che produce una miriade di sorgenti a fase casuali che mediamente fanno interferenze distruttiva
@@mattiarecchi4024 è la base dei metamateriali, sia acustici che ottici, i quali sfruttano geometrie periodiche di materiali "normali" per ottenere proprietà estreme (come altissimi assorbimenti in acustica o indici di rifrazione negativi in ottica)
Hang on, does this mean that a material with a sierpinski carpet cross section would make a very good *directional* acoustic insulator? Because that's what this is looking like. It would conduct well in the direction that in this is in and out of the plane, but insulate very well in the other two directions.
I'm not a specialist, but it seems that some researchers are interested in that kind of application, see for instance hal.archives-ouvertes.fr/hal-01555279
you can make a wall by stacking pipes horizontally: they would allow sound in the direction of the pipes, but they would block it in the traversal direction.
@@firefly618 but would that conduct sound laterally that had reached the wall from a perpendicular approach? Feel like unless the outside pipes would need to be resonant to pick up the incident sound in the first place.
I thought about radar waves. But then i saw level 4 and majority of waves being reflected and i thought it wouldn't really work. Not in this shape at least
A tsunami is a low-frequency event... this is a very high-frequency impulse event, absorbed by the carpet. If you raise the water level the carpet is inundated.
“City Center surrounded by high rises, surrounded by houses, and tell everybody to stand outside their house, we’re gonna stop this wet mother füçk3r, TOGETHER!” Famous last words of a city planner.
I thought the same thing but then I realized that the black let’s nothing pass through it at all, so it isn’t really a good simulation of if this would be good soundproofing. Also, constructing this shape would be a nightmare. Normally, the black parts are holes, but in this case the black parts are where the wall is
@@matthewhubka6350 some square extrusion with mounts at the ends would be a fairly good analog you could build pretty easy. You could also 3dp that easily as well on smaller scales. I doubt this would be as effective as normal sound proofing panels tho
This shows us how insulation works to block and diffuse heat. Fascinating. The more porous the material the better it is a diffusing and rejecting radiant heat.
Interesting. Except its dynamic now with a sliding float due to changing energy from the wave (instead of binary). Kinda neat observation. Thx for saying
@@gavindillon1486 both are mediums carrying a *PRESSURE WAVE.* Pressure waves are a pulse passing *through* a medium not a long distance movement of that medium. Even the biggest quake doesn't move the ground more than dozens of feet while the *seismic wave* covers thousands if not hundreds of thousands of square miles.
Level 4 was beyond my expectations in its performance, if it was an acoustic barrier I would’ve heard nothing on the other side of it. (Imagining if it was 3rd dimensional of course, as 2d would only stop a fraction of the actual sound waves.)
Thanks. It represents a wave encountering a fractal obstacle. There is another version here: ua-cam.com/video/LTsCx2T-4hA/v-deo.html where the colors represent the wave's energy instead of its height.
It's wild seeing this for the first time in 2024, because I wrote an extremely similar program in the mid-90s... then dusted it off in 2022 to get it running on modern computers, where I now use it as a screensaver. But I didn't build it for stopping waves; I built it mostly just to make a cool-looking interactive physics simulation. Thinking about maybe building a game on top of it, because the water is fun to play with.
It's interesting to see that the wave appears to stimulate a resonant mode in the grid that only very slowly decays. Is Energy conserved in your simulation sceme?
No, I put "absorbing" boundary conditions on the large rectangle to reduce reflections on the boundary without having to simulate a larger domain. These boundary conditions absorb part of the energy in the course of time.
@@NilsBerglund what happens when there is no energy absorption by the large rectangles? ... Did you consider putting in a non-absorbing/absorbing boundary outside both the wave and carpet - in other words a second source of reflection (either circular or rectangular)?.... it was very very VERY COOL! - good job!
@@medtherockstar820 Thanks! If I put reflecting boundary conditions on the large rectangle (around the picture), there will be more reflections and energy will be conserved. I could try varying the boundary conditions, though I'm not sure it would be a good physical model. Another thing I may consider is replacing the scatterers by regions where the wave speed is different, causing refraction (like here ua-cam.com/video/Q8P4iL6ZafQ/v-deo.html ).
I love the fact that 21k people like this video. Well, ok, 20k people who do math for fun and a thousand stoners 😊 Every audiophile should spend time understanding this 👍
Wow I don't fully understand what's going on or what this means for physics, but this video made me really curious to see how much of the wave the shapes could stop
I remember a TV docu about Stonehenge, which originally contained additional stone pilars forming rings those are now missing. They built a fullsize styrofoam model to test the acoustics, and explained that the echo inside was very special. So as a religious temple it certainly contributed to the mystical experience of visiting people if the high priest would sing or play instruments inside.
I love the way that the wall of tiny squares, the first wall that the waves hit in level 4, they act just like a continuous wall in regards to reflecting back the wave
Interesting tidbit, the waves inside the carpet of level 4 looks suspiciously like the simulated random noise that the universe makes on the smallest levels.
1: impossible for anything *NOT* to pass through 2: a little stronger but still hella bad 3: stronk i guess but waves can tunnel through the holes if they aren't trapped 4: nothing gets through
Pretty much an irresistible title for me. I like waves, and sound, and fractals, and graphics. I was not disappointed. Music reminds me rhythmically of "Oh Yeah " from the Can LP Tago Mago (1971).
Interesting pattern that I noticed on level 3 is: the waves that go through to the other side are more likely to have traveled a path that aligns with the top and bottom sides of the big square
There's ripples because of dispersion, and reflection off the wall. It's really hard to get zero reflection off a boundary because it's effectively a change in medium
A Sierpinski carpet is a fractal, made my dividing a square into 9 equal squares, removing the central square, and repeating the same ad infinitum with the remaining square. What is used here is rather the complement of the fractal, that is, the squares that are removed when making the carpet. The design appears to be quite useful for insulation (from waves or sound).
Should try using a 2D gaussian attenuation function for the edges of the simulation frame so you can issolate the frontwave effects from the spourious eccoes of the bounds of the wavefront on the borders of the simulation window
@@John-yr1ww is something you can do when, because of finite size windows, spourious effects appears when implementing some algorithms, like the eccoes in the waves of the video, or, as other common example, when doing 2D convolutions and circulation effects happens on the boundaries. A tight unitary 2D Gaussian envelope supress these edge-effects without introducing ripples because of their own response as a filter in the simulated system. If you have already reach this video and see my post, I hope someday you will use this comments as a tool in your own research.... nowadays, every new mind suck out of ignorance will lead as to a brighther future. Hope you the best.
There is a Herman proverb: "Wie man in den Wald hineinruft, so schallt es heraus". (As one calls into the forest, it resounds.) Very nicely demonstrated in level 4.
You can find it for instance here: ua-cam.com/video/H_i-AcebAAI/v-deo.html ua-cam.com/video/5SRIvvFLyTw/v-deo.html The artist is Jeremy Blake, www.youtube.com/@RedMeansRecording
It would be interesting what changes if the pattern is "eroded". What I mean is: Imagine someone actually built this as a coastline protection, but after a bunch of decades, the elements deflecting the most force are broken, leaving only the less stressed elements behind.
I tried this a while ago with a different pattern of obstacles, see for instance ua-cam.com/video/nKdedU1x3qQ/v-deo.html I later also allowed the obstacles to move: ua-cam.com/video/XVHmrd7emy4/v-deo.html
All those small squares reminding me of acoustic crystals. Regularly arranged round objects, that can allow 1 frequency through but block other frequencies, based only on the spacing.
Rotate this fractal 45° and you might have yourself an interesting pachinko board :0 (or whatever that game is called where you drop a ball down a bunch of pins and try to make it land in some kind of spot)
Never heard of Sierpiński's carpet, but I wonder whether a slightly concave structure in the middle would give better energy dispersion by forcing some of it straight back
And now you understand why mangroves are important for coastlines.
Very true!
for humans
Wow I never realised that!
Awesome!
I was thinking about some kind of breakwater for a harbor, but I hadn't made the connection to mangroves! Thanks!
This is the pinnacle of 3 AM content
Im here a 6 am..
Literally 3:24 am here
3:26 am here lol
3:29 here
I’m bored outta my mind at 8:30 pm right nkw
Now I'm curious whether it's really the fractal shape or just the large amount of small squares that's good at stopping waves
i would guess mainly the small squares,
a grid might let some through, but a hex grid probably not.
Probably, yes (see ua-cam.com/video/mgC3gw2kbBE/v-deo.html for a simpler geometry). The fractal geometry might enhance particular high-frequency resonances, though.
@@NilsBerglund ah I hadn't yet come across that one. Interesting, thanks for replying!
@@NilsBerglund Very cool! I think it would be a more "fair" comparison if the area of the black squares was kept constant; in this video each level adds more area.
I'm also curious what happens as the ratio of the wavelength to the square spacing varies. Is it possible to build something akin to a Bragg reflector or a Bragg filter using a Serpinski fractal?
The more people in the club, the more volume you need to get the sound to cross the dance floor, but in 3 dimensions
That's why speakers are often mounted on ceiling
That’s primarily due to absorption effects, which I don’t think are modelled here. This simulation just shows how the reflections lead to the wave energy becoming more diffuse more quickly, as opposed to reaching the shore in one go. The same sooooort of applies in a club, but 3D acoustics are very different so surface acoustics.
Except depending on the frequency sound will pass right through those.
My favorite venue is circular with a low ceiling. Amazing acoustic separation at every point no matter the crowd.
Remind me not to mess with the guy in the middle
I think it would have been a more useful comparison, if the black area had been constant, in these comparison runs.
Thanks for the idea!
that's what i was expecting
Yeah, the sizes need to be adjusted so the total area is the same between runs.
@@PatrickPeasePatrick peaseeeee
@@joshuavillwo either total area or total perimeter. IDK which one is “fair”
i’m awful at physics so all I’ve learned from this is that /naughty waves get put in the F R A C T A L S Q U A R E to atone for their crimes/
Same here
I mean, you're not wrong
At least it isnt the _/P E A R W I G G L E R/_
Rectal square
I got a Physics prize at school (and they had to hire an advanced Math teacher) in 2020 I worked for Aston Martin JCB Porsche Suzuki - they fired me with pneumonia I was in ICU
when you reach infinite levels, is it practically just a square again?
I think so, yes, because the waves do not have infinitely small wavelengths (or rather, there is no energy at arbitrarily small scales).
No it's not a square, our mind is not able to picture it but some math can reveal the amount of area it covers, and it's way less than what a square would
@@ekosh6266 Let's do the math then. The first iteration splits the square in 9 pieces and removes the middle one. The second iteration splits those each in 9 pieces and removes the middle ones. The third iteration splits those each in 9 pieces and removes the middle ones. I hope it's clear each iteration multiplies the remaining uncovered area by 8/9.
after infinite iterations, the leftover area is 8/9^infinity which would be 0, so the shape covers the whole square. Did I get that right?
@@Drawoon Okey yes, you got that right, but unfortunately, a set having area zero does not mean it's empty.
Or the opposite, even if adding infinite squares add up to the total area we are aiming, it doesn't mean it ends up being the whole square.
Easy proof: give some coordinates, the bottom left corner of the container square is (0,0) and top right is (3,3), then our fractal will never contain the point (2,2) (for example, it will never contain many other points, infinitely uncountable points are left out) .
Hard proof: search for the Cantor's set and diagonal proof.
@@ekosh6266 sure I guess, but when it comes to the waves from the video it'd act just like a big square even if it technically isn't
watch in 2x speed for the optimal experience
Yeah, i did that.
Yeah, I'd go higher if possible
Thanks
I did that too
Thanks for reminding this exists
This configuration is an excellent acustic barrier
Boh non è considerato che il suono si propaga anche nei muri, tecnicamente in questo modello finisco un semplice muro continuo è un isolamento perfetto
@@il_vero_saspacifico6141 ho pensato che una parete semplicemente ha un certo coefficiente di assorbimento che va ad attenuare il suono. Una struttura come questa ha dalla sua parte che produce una miriade di sorgenti a fase casuali che mediamente fanno interferenze distruttiva
Or maybe a method for preventing shoreline erosion?
@@mattiarecchi4024 è la base dei metamateriali, sia acustici che ottici, i quali sfruttano geometrie periodiche di materiali "normali" per ottenere proprietà estreme (come altissimi assorbimenti in acustica o indici di rifrazione negativi in ottica)
@@danielebonaldo6864 very very figo
Hang on, does this mean that a material with a sierpinski carpet cross section would make a very good *directional* acoustic insulator? Because that's what this is looking like. It would conduct well in the direction that in this is in and out of the plane, but insulate very well in the other two directions.
I'm not a specialist, but it seems that some researchers are interested in that kind of application, see for instance hal.archives-ouvertes.fr/hal-01555279
I think that in the real word the individual squares would giggle and lass the waves further
you can make a wall by stacking pipes horizontally: they would allow sound in the direction of the pipes, but they would block it in the traversal direction.
@@firefly618 but would that conduct sound laterally that had reached the wall from a perpendicular approach? Feel like unless the outside pipes would need to be resonant to pick up the incident sound in the first place.
I thought about radar waves. But then i saw level 4 and majority of waves being reflected and i thought it wouldn't really work. Not in this shape at least
This is the main reason for the need to protect mangroves in sensitive areas. Good demonstration!
Makes me wanna think about world building...
The music feels like it’s from a coolmath-games flash game
Alternate title: increasingly effective ways to stop a tsunami
@@mingkanglin9017 yes that’s…
Exactly what he said.
A tsunami is a low-frequency event... this is a very high-frequency impulse event, absorbed by the carpet. If you raise the water level the carpet is inundated.
Nothing stops a tsunami except time
Another Alternate title: Defending the Menger Sponge Fractal from a Lot of Swarms
“City Center surrounded by high rises, surrounded by houses, and tell everybody to stand outside their house, we’re gonna stop this wet mother füçk3r, TOGETHER!”
Famous last words of a city planner.
What if we start at level 2 and replace the big square in the middle with a wave?
i like how level 3 lets basically no noise get passed
I thought the same thing but then I realized that the black let’s nothing pass through it at all, so it isn’t really a good simulation of if this would be good soundproofing. Also, constructing this shape would be a nightmare. Normally, the black parts are holes, but in this case the black parts are where the wall is
@@matthewhubka6350 some square extrusion with mounts at the ends would be a fairly good analog you could build pretty easy. You could also 3dp that easily as well on smaller scales. I doubt this would be as effective as normal sound proofing panels tho
I think it simulates water waves, not sound waves.
@@diacoal2433 waves are waves
@@mynamesbigmynamesbigmyname4757 But sound waves move through objects whereas water ones don't
This shows us how insulation works to block and diffuse heat. Fascinating. The more porous the material the better it is a diffusing and rejecting radiant heat.
The green-energy-level echoes of the third level really remind me of Conway’s game of life!
Some fluid simulation methods are based on the same principles as Conway's game of life (Cellular automata)
Dude, this shit has to do with quantum tunneling, the carpet is the barrier
Interesting. Except its dynamic now with a sliding float due to changing energy from the wave (instead of binary).
Kinda neat observation. Thx for saying
@@josephvictory9536 who are you replying?
Exactly, that is what struck me, I came looking through the comments to see if anyone else had the same observation.
This music makes me feel like I'm playing a flash game
goes unreasonably hard and i love it
"SIR SIR THE FLOOD GATES HAVE FALLEN!"
-thinks-
"SUMMON THE SERPINSKI CARPET LEVEL 4!"
"wjere the hell do we get that."
the more trees we chop down, the more destructive winds there will be.
This is stimulating pressure wave propagation, not fluid motion
@@salsamancer yeah but we also know how good mangrove forests are at stopping and breaking up waves.
@@salsamancer Then why don't they construct the footings of large buildings or entire cities in earthquake zones to resemble the later versions?
@@johnassal5838 ... that's a fucking EARTHQUAKE. That's the ground violently shaking, not fluid impact
@@gavindillon1486 both are mediums carrying a *PRESSURE WAVE.*
Pressure waves are a pulse passing *through* a medium not a long distance movement of that medium.
Even the biggest quake doesn't move the ground more than dozens of feet while the *seismic wave* covers thousands if not hundreds of thousands of square miles.
Level 4 was beyond my expectations in its performance, if it was an acoustic barrier I would’ve heard nothing on the other side of it. (Imagining if it was 3rd dimensional of course, as 2d would only stop a fraction of the actual sound waves.)
Now solve it analytically, and prove the sequence of functions converges pointwise to a limiting function.
Thanks, that's a nice idea for an exam, my students will love it!
What have you done
Formed a new method of torture, obviously
the true face of physics
@@NilsBerglund May God have mercy on their souls, because you certainly won't.
think it’s really cool how it charges up almost like a battery releasing the stored energy slowly
Yes.
Damn, that's a good observation. Could we use something like that to generate energy from sound/noise? 🤔
This gave me inspiration for cool soundwave-blocking spells
Im gonna print a large QR code and stick it on my boat
1:30 The way you made the beat line up with the jump cut is so satisfying
You didn’t search for this
I exactly searched for this.
really appreciate the drum and bass in this video
A nice track by Jeremy Blake, aka Red Means Recording ua-cam.com/users/RedMeansRecording
I have no idea what this is, but it's kinda beautifull
Thanks. It represents a wave encountering a fractal obstacle. There is another version here: ua-cam.com/video/LTsCx2T-4hA/v-deo.html where the colors represent the wave's energy instead of its height.
I feel ya m8
It's wild seeing this for the first time in 2024, because I wrote an extremely similar program in the mid-90s... then dusted it off in 2022 to get it running on modern computers, where I now use it as a screensaver. But I didn't build it for stopping waves; I built it mostly just to make a cool-looking interactive physics simulation. Thinking about maybe building a game on top of it, because the water is fun to play with.
It's interesting to see that the wave appears to stimulate a resonant mode in the grid that only very slowly decays. Is Energy conserved in your simulation sceme?
No, I put "absorbing" boundary conditions on the large rectangle to reduce reflections on the boundary without having to simulate a larger domain. These boundary conditions absorb part of the energy in the course of time.
@@NilsBerglund what happens when there is no energy absorption by the large rectangles? ... Did you consider putting in a non-absorbing/absorbing boundary outside both the wave and carpet - in other words a second source of reflection (either circular or rectangular)?.... it was very very VERY COOL! - good job!
@@medtherockstar820 Thanks! If I put reflecting boundary conditions on the large rectangle (around the picture), there will be more reflections and energy will be conserved. I could try varying the boundary conditions, though I'm not sure it would be a good physical model. Another thing I may consider is replacing the scatterers by regions where the wave speed is different, causing refraction (like here ua-cam.com/video/Q8P4iL6ZafQ/v-deo.html ).
Double slit experimenter: Hey, where are my photons?
This is an advanced joke
@@canadalavearn Jimmy neutron lvl joke ;)
Here// *also* here。
Sierpinski Carpet with suspiciously photon shaped bulging cheeks: idk
lol double slit? More like Integral Slit Experiment. XD
I love the fact that 21k people like this video. Well, ok, 20k people who do math for fun and a thousand stoners 😊
Every audiophile should spend time understanding this 👍
Wow I don't fully understand what's going on or what this means for physics, but this video made me really curious to see how much of the wave the shapes could stop
Glad you like it. There is a slightly different version here: ua-cam.com/video/LTsCx2T-4hA/v-deo.html
It means mangroves/forests help stop Tsunamis from wrecking shit further inland
I remember a TV docu about Stonehenge, which originally contained additional stone pilars forming rings those are now missing. They built a fullsize styrofoam model to test the acoustics, and explained that the echo inside was very special. So as a religious temple it certainly contributed to the mystical experience of visiting people if the high priest would sing or play instruments inside.
I love the way that the wall of tiny squares, the first wall that the waves hit in level 4, they act just like a continuous wall in regards to reflecting back the wave
A sierpienski carpet would be very useful to protect a city against a tsunami
Even better to protect an island: a configuration that makes an invisibility cloak. There has been some research on this.
i was NOT expecting RedMeansRecording's soundtrack here, no wonder it sounded familiar!
Jeremy Blake has kindly made his nice music available on the UA-cam audio library.
4:37 what you came for
what i WHAT???
This is really good for blazed watching material
Love the drum and base!!!!
ah yes, the non copyright music. always a pleasure to hear this in yet another video.
Interesting tidbit, the waves inside the carpet of level 4 looks suspiciously like the simulated random noise that the universe makes on the smallest levels.
Everyone here in the comments is talking about actual practical shit, and here I am thinking about how good of a screensaver this would be
Ladies and gentlemen, I present to you, the algorithm
The music is fire fr fr.
What we understood: the walls made of the Sierpinski carpet dampen sounds well.
That's a pretty good summary.
That’s a lot of ripples. Really vibrant looking indeed!
1: impossible for anything *NOT* to pass through
2: a little stronger but still hella bad
3: stronk i guess but waves can tunnel through the holes if they aren't trapped
4: nothing gets through
I got distracted for a few seconds and actually caught myself backing up to see what I missed lol
What happens, when you remove the larger squares and replace them with smaler ones?
you get a grid
More square
You get a nonfractal grid
It's cool how the waves linger within the carpet
It's also useful, because it allows to spread the energy over a large time span, making the wave less destructive.
5:38 between the small squares it looks exactly like in a swimming pool
Pretty much an irresistible title for me. I like waves, and sound, and fractals, and graphics.
I was not disappointed.
Music reminds me rhythmically of "Oh Yeah " from the Can LP Tago Mago (1971).
This is why I always answer my cell phone with "It's a miracle."
Interesting pattern that I noticed on level 3 is: the waves that go through to the other side are more likely to have traveled a path that aligns with the top and bottom sides of the big square
Lol I watched this to fall asleep for some reason
Weird dreams came with it though
Yeah Wait What Examples Of Weird Dreams
Someone @ me when this inevitably gets made into a screen saver simulation.
0:08 where is that ripple coming from? is the wave hitting something offscreen?
There's ripples because of dispersion, and reflection off the wall. It's really hard to get zero reflection off a boundary because it's effectively a change in medium
Ok I love the frog music, but what is a Sierpinski carpet and why is it useful?
A Sierpinski carpet is a fractal, made my dividing a square into 9 equal squares, removing the central square, and repeating the same ad infinitum with the remaining square. What is used here is rather the complement of the fractal, that is, the squares that are removed when making the carpet. The design appears to be quite useful for insulation (from waves or sound).
this song brings back memories i don't even remember
Stop kidnapping waves
WUT!?@;^G
It would be interesting to me to see this with constant wave sources rather than a single impulse! Great simulation!
Should try using a 2D gaussian attenuation function for the edges of the simulation frame so you can issolate the frontwave effects from the spourious eccoes of the bounds of the wavefront on the borders of the simulation window
this sounds like meaningless gibberish, so it must be smart math thing
@@John-yr1ww is something you can do when, because of finite size windows, spourious effects appears when implementing some algorithms, like the eccoes in the waves of the video, or, as other common example, when doing 2D convolutions and circulation effects happens on the boundaries.
A tight unitary 2D Gaussian envelope supress these edge-effects without introducing ripples because of their own response as a filter in the simulated system.
If you have already reach this video and see my post, I hope someday you will use this comments as a tool in your own research.... nowadays, every new mind suck out of ignorance will lead as to a brighther future. Hope you the best.
There is a Herman proverb:
"Wie man in den Wald hineinruft, so schallt es heraus".
(As one calls into the forest, it resounds.)
Very nicely demonstrated in level 4.
Thanks. It had never occurred to me before that "Hermann" rhymes with "German". Arminia, unser Herz schlägt nur für Dich.
you mean an echo?
cornfields make more sense to me now. thank you
I didn't expect such banger music on this video
I love the music.
This track is fire 🔥
I swear there is a hidden message in the subtitles...
"so so so... one great foreign..."
LIKE WHAT??? TELL ME WHAT GREAT FOREIGN AAAH
With this, I feel like I could build a hell of a bitchin’ seawall.
"Squares together strong"
I love the music in this video. Reminds me of the game music to Gare: Sapphire Mechs
Can you use this setup to simulate what hearing an echo bouncing off of this would sound like?
Pacman got an upgrade
May I ask where I can listen to this music? I love it.
You can find it for instance here:
ua-cam.com/video/H_i-AcebAAI/v-deo.html
ua-cam.com/video/5SRIvvFLyTw/v-deo.html
The artist is Jeremy Blake, www.youtube.com/@RedMeansRecording
It would be interesting what changes if the pattern is "eroded". What I mean is: Imagine someone actually built this as a coastline protection, but after a bunch of decades, the elements deflecting the most force are broken, leaving only the less stressed elements behind.
I tried this a while ago with a different pattern of obstacles, see for instance ua-cam.com/video/nKdedU1x3qQ/v-deo.html
I later also allowed the obstacles to move: ua-cam.com/video/XVHmrd7emy4/v-deo.html
@@NilsBerglund Oh wow, I wasn't even aware these existed. That's actually really really cool to see. Many thanks for linking these!
song is awesome
All those small squares reminding me of acoustic crystals. Regularly arranged round objects, that can allow 1 frequency through but block other frequencies, based only on the spacing.
now you know why we cannot se through everything.
Was it really necessary adding music that goes soo hard? Man let me enjoy my math videos, don't get me all up dancing it's 2am
Apologies. Please get some sleep.
4:44 | when the ocular migraine kicks in
Rotate this fractal 45° and you might have yourself an interesting pachinko board :0 (or whatever that game is called where you drop a ball down a bunch of pins and try to make it land in some kind of spot)
Plinko?
That's basically a description of the workflow in my "organisation". :-)
I recommend playing at 2x speed, unless you're a stoner and are enjoying the visual effects.
Never heard of Sierpiński's carpet, but I wonder whether a slightly concave structure in the middle would give better energy dispersion by forcing some of it straight back
Very reminiscent of photonic crystals.
I don't know what is this but it seems interesting isn't it is a perfect reason to watch
Anyone one else reminded of Tayne from Celery man from the music at 3:00?
"nude tayne"
I have no clue what this is. I have never taken any kind of physics class, but youtube has decided that I sould see this, so I will.
0:20 ISPYWITHMYLITTLEEYE???
what?
@@bobbycorn3966It is a geometry dash custom level
it’s from geometry dash
God dammit i see it
Why did you put that in my head
the music on this is fantastic
ISpyWithMyLittleSierpinski
i love how near the end most of it is just a goosebumps wall
Nice job! But AFAIK this fractal is a Menger class, not Sierpinski. Congrats anyway!
The Menger sponge _is_ just the Sierpinski carpet applied to three dimensions.
Sierpinski is known for fractals other than the triangles too.
Not entirely sure why, but this was the perfect music choice for this video
Trippy!
Now I'm wondering if I can apply this to soundproofing.
This is about 20 times longer and slower than it needs to be...
Man, this is a great video to have on in the background at parties
Glad you think so!
So much deep learning going on here...
I'm sorry but this has nothing to do with deep learning. It's good old numerical analysis.
@@Hexanitrobenzene 'deep' as in impactful, resonating or lasting...