And now you understand why mangroves are important for coastlines.

@NilsBerglund

2 жыл бұрын

Very true!

@beaconblaster33

2 жыл бұрын

for humans

@Danicker

2 жыл бұрын

Wow I never realised that!

@YukuriuddoHerusaizu

2 жыл бұрын

Awesome!

@bbgun061

2 жыл бұрын

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

@emanwonkon2205

Ай бұрын

Im here a 6 am..

@turbofanct6679

Ай бұрын

Literally 3:24 am here

@unknownuserwhoisitlol8776

Ай бұрын

3:26 am here lol

@liam.28

Ай бұрын

3:‎29 here

@leonardorolingstella8554

Ай бұрын

I’m bored outta my mind at 8:30 pm right nkw

The more people in the club, the more volume you need to get the sound to cross the dance floor, but in 3 dimensions

@AluminumHaste

Ай бұрын

That's why speakers are often mounted on ceiling

@ChrisStoneinator

Ай бұрын

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.

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

@qu765

2 жыл бұрын

i would guess mainly the small squares, a grid might let some through, but a hex grid probably not.

@NilsBerglund

2 жыл бұрын

Probably, yes (see kzread.info/dash/bejne/n5t3lcmwYs7Icqg.html for a simpler geometry). The fractal geometry might enhance particular high-frequency resonances, though.

@DantevanGemert

2 жыл бұрын

@@NilsBerglund ah I hadn't yet come across that one. Interesting, thanks for replying!

@bengravell5086

2 жыл бұрын

@@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.

@wmlye1

2 жыл бұрын

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?

I think it would have been a more useful comparison, if the black area had been constant, in these comparison runs.

@NilsBerglund

2 жыл бұрын

Thanks for the idea!

@PatrickPease

2 жыл бұрын

that's what i was expecting

@joshuavillwo

2 жыл бұрын

Yeah, the sizes need to be adjusted so the total area is the same between runs.

@aarontooth

2 ай бұрын

​@@PatrickPeasePatrick peaseeeee

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/

@KAngel32

2 жыл бұрын

Same here

@brada5142

2 жыл бұрын

I mean, you're not wrong

@Zenith_Guard

2 жыл бұрын

At least it isnt the _/P E A R W I G G L E R/_

@8bitorgy

2 жыл бұрын

Rectal square

@OghamTheBold

2 жыл бұрын

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

watch in 2x speed for the optimal experience

@Random_Nobody_Official

2 жыл бұрын

Yeah, i did that.

@fryncyaryorvjink2140

2 жыл бұрын

Yeah, I'd go higher if possible

@crabobserver

2 жыл бұрын

Thanks

@MiScusi69

2 жыл бұрын

I did that too

@Fiufsciak

2 жыл бұрын

Thanks for reminding this exists

This configuration is an excellent acustic barrier

@il_vero_saspacifico6141

2 жыл бұрын

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

@mattiarecchi4024

2 жыл бұрын

@@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

@vigilancebrandon3888

2 жыл бұрын

Or maybe a method for preventing shoreline erosion?

@danielebonaldo6864

2 жыл бұрын

@@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)

@mattiarecchi4024

2 жыл бұрын

@@danielebonaldo6864 very very figo

Alternate title: increasingly effective ways to stop a tsunami

@cassandra_classic

2 жыл бұрын

@@mingkanglin9017 yes that’s… Exactly what he said.

@scowell

2 жыл бұрын

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.

@tackontitan

2 жыл бұрын

Nothing stops a tsunami except time

@freerobux49

2 ай бұрын

@@tackontitan and a giant wall.

@Baburun-Sama

2 ай бұрын

Another Alternate title: Defending the Menger Sponge Fractal from a Lot of Swarms

This is the main reason for the need to protect mangroves in sensitive areas. Good demonstration!

when you reach infinite levels, is it practically just a square again?

@NilsBerglund

2 жыл бұрын

I think so, yes, because the waves do not have infinitely small wavelengths (or rather, there is no energy at arbitrarily small scales).

@ekosh6266

2 жыл бұрын

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

@Drawoon

2 жыл бұрын

@@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?

@ekosh6266

2 жыл бұрын

@@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.

@Drawoon

2 жыл бұрын

@@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

The music feels like it’s from a coolmath-games flash game

This music makes me feel like I'm playing a flash game

@pisscvre69

10 күн бұрын

goes unreasonably hard and i love it

i like how level 3 lets basically no noise get passed

@matthewhubka6350

2 жыл бұрын

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

@xxportalxx.

2 жыл бұрын

@@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

@diacoal2433

2 жыл бұрын

I think it simulates water waves, not sound waves.

@mynamesbigmynamesbigmyname4757

2 жыл бұрын

@@diacoal2433 waves are waves

@diacoal2433

2 жыл бұрын

@@mynamesbigmynamesbigmyname4757 But sound waves move through objects whereas water ones don't

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.

@NilsBerglund

2 жыл бұрын

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

@tenix6698

2 жыл бұрын

I think that in the real word the individual squares would giggle and lass the waves further

@whatfireflies

2 жыл бұрын

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.

@DeRien8

2 жыл бұрын

@@whatfireflies 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.

@jakubw.2779

2 жыл бұрын

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

The green-energy-level echoes of the third level really remind me of Conway’s game of life!

@eduardo98m

2 жыл бұрын

Some fluid simulation methods are based on the same principles as Conway's game of life (Cellular automata)

@ldavilla8971

2 жыл бұрын

Dude, this shit has to do with quantum tunneling, the carpet is the barrier

@josephvictory9536

2 жыл бұрын

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

@ldavilla8971

2 жыл бұрын

@@josephvictory9536 who are you replying?

@donerskine7935

2 ай бұрын

Exactly, that is what struck me, I came looking through the comments to see if anyone else had the same observation.

the more trees we chop down, the more destructive winds there will be.

@salsamancer

2 жыл бұрын

This is stimulating pressure wave propagation, not fluid motion

@anonym3017

2 жыл бұрын

@@salsamancer yeah but we also know how good mangrove forests are at stopping and breaking up waves.

@johnassal5838

2 жыл бұрын

@@salsamancer Then why don't they construct the footings of large buildings or entire cities in earthquake zones to resemble the later versions?

@gavindillon1486

2 жыл бұрын

@@johnassal5838 ... that's a fucking EARTHQUAKE. That's the ground violently shaking, not fluid impact

@johnassal5838

2 жыл бұрын

@@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.

Double slit experimenter: Hey, where are my photons?

@canadalavearn

2 жыл бұрын

This is an advanced joke

@Zenheizer

2 жыл бұрын

@@canadalavearn Jimmy neutron lvl joke ;)

@kyototo.

2 жыл бұрын

Here// *also* here。

@alphaamoeba

2 ай бұрын

Sierpinski Carpet with suspiciously photon shaped bulging cheeks: idk

@christopherrogers532

Ай бұрын

lol double slit? More like Integral Slit Experiment. XD

What if we start at level 2 and replace the big square in the middle with a 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.

Sierpinski 4: "Tsunamis of that level have no effect on me." Tsunami 3: "You bastard!" Mangrove 4: "What am I a joke to you?"

Now solve it analytically, and prove the sequence of functions converges pointwise to a limiting function.

@NilsBerglund

2 жыл бұрын

Thanks, that's a nice idea for an exam, my students will love it!

@ostsmulor

2 жыл бұрын

What have you done

@aracaniusinfinius2880

2 жыл бұрын

Formed a new method of torture, obviously

@tachikomagaming2451

2 жыл бұрын

the true face of physics

@nooneinparticular3370

2 жыл бұрын

@@NilsBerglund May God have mercy on their souls, because you certainly won't.

I have no idea what this is, but it's kinda beautifull

@NilsBerglund

2 жыл бұрын

Thanks. It represents a wave encountering a fractal obstacle. There is another version here: kzread.info/dash/bejne/foinpdprhJCamKQ.html where the colors represent the wave's energy instead of its height.

@Andreas-zm9tg

2 жыл бұрын

I feel ya m8

think it’s really cool how it charges up almost like a battery releasing the stored energy slowly

@MatthewConnellan-xc3oj

2 ай бұрын

Yes.

@feynstein1004

Ай бұрын

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

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.)

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

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

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

@NilsBerglund

2 жыл бұрын

Glad you like it. There is a slightly different version here: kzread.info/dash/bejne/foinpdprhJCamKQ.html

@psymar

2 ай бұрын

It means mangroves/forests help stop Tsunamis from wrecking shit further inland

This is why I always answer my cell phone with "It's a miracle."

ah yes, the non copyright music. always a pleasure to hear this in yet another video.

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?

@NilsBerglund

2 жыл бұрын

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.

@medtherockstar820

2 жыл бұрын

@@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!

@NilsBerglund

2 жыл бұрын

@@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 kzread.info/dash/bejne/g2yElsuFZr3HlrQ.html ).

really appreciate the drum and bass in this video

@NilsBerglund

2 жыл бұрын

A nice track by Jeremy Blake, aka Red Means Recording kzread.info

I got distracted for a few seconds and actually caught myself backing up to see what I missed lol

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.

A sierpienski carpet would be very useful to protect a city against a tsunami

@alterego3734

2 жыл бұрын

Even better to protect an island: a configuration that makes an invisibility cloak. There has been some research on this.

Ladies and gentlemen, I present to you, the algorithm

This is actually the same way that radar-scattering paints use to reduce the radar cross section of an aircraft. They have many points to randomly deflect the waves and in turn weaken the wave that returns to the source.

Love the drum and base!!!!

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 didn't expect such banger music on this video

Someone @ me when this inevitably gets made into a screen saver simulation.

Ok I love the frog music, but what is a Sierpinski carpet and why is it useful?

@NilsBerglund

Ай бұрын

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).

cornfields make more sense to me now. thank you

This is really good for blazed watching material

It's cool how the waves linger within the carpet

@NilsBerglund

Күн бұрын

It's also useful, because it allows to spread the energy over a large time span, making the wave less destructive.

now you know why we cannot se through everything.

Lol I watched this to fall asleep for some reason Weird dreams came with it though

@WorriedTheif

2 жыл бұрын

Examples?

@JNJNRobin1337

2 жыл бұрын

Yeah Wait What Examples Of Weird Dreams

1:30 The way you made the beat line up with the jump cut is so satisfying

Not entirely sure why, but this was the perfect music choice for this video

I swear there is a hidden message in the subtitles... "so so so... one great foreign..." LIKE WHAT??? TELL ME WHAT GREAT FOREIGN AAAH

I love the music.

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).

Pacman got an upgrade

Trippy!

"Squares together strong"

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 imagining things from the perspwctive of higher dimensions. Envisioning that the cause of these waves are actually the shifting of an object in higher dimensions.

What happens, when you remove the larger squares and replace them with smaler ones?

@notquitehadouken

2 жыл бұрын

you get a grid

@boonewalker3973

2 жыл бұрын

More square

@gaaraheater44

2 жыл бұрын

You get a nonfractal grid

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

2 жыл бұрын

this sounds like meaningless gibberish, so it must be smart math thing

@whatitmeans

2 жыл бұрын

@@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.

Interesting and absolutely incredible to watch.

Man, this is a great video to have on in the background at parties

@NilsBerglund

2 жыл бұрын

Glad you think so!

May I ask where I can listen to this music? I love it.

@NilsBerglund

Ай бұрын

You can find it for instance here: kzread.info/dash/bejne/epOdj6OclcWncaw.html kzread.info/dash/bejne/Z4eGq9ivdq_fhNo.html The artist is Jeremy Blake, www.youtube.com/@RedMeansRecording

Can you use this setup to simulate what hearing an echo bouncing off of this would sound like?

love the tune too

Row row your boat Waves: Why is everything slowing down? Wait, no they're not slowing...oh no MY BODY.

Very reminiscent of photonic crystals.

So much deep learning going on here...

@Hexanitrobenzene

2 жыл бұрын

I'm sorry but this has nothing to do with deep learning. It's good old numerical analysis.

@pje723

2 жыл бұрын

@@Hexanitrobenzene 'deep' as in impactful, resonating or lasting...

Level 3- disperssion of waves, level 4- ideal barrier before the shock wave

Beautiful! 🤩

@NilsBerglund

Ай бұрын

Thank you! 😊 You will find more recent vids like this one in the playlist kzread.info/head/PLAZp3rbgWLo2dIeEYz8KP2TW-Yvq8TFLx

We whant level 12 🙌

Who needs homework when you have album cover material like this??

This is the god of all optical illusions

It would be interesting to me to see this with constant wave sources rather than a single impulse! Great simulation!

Nice job! But AFAIK this fractal is a Menger class, not Sierpinski. Congrats anyway!

@derrickmelton5844

2 жыл бұрын

The Menger sponge _is_ just the Sierpinski carpet applied to three dimensions. Sierpinski is known for fractals other than the triangles too.

Stop kidnapping waves

I love the music in this video. Reminds me of the game music to Gare: Sapphire Mechs

This track is fire 🔥

Music: Hey, this is another episode of Dead by Daylight Survivor methods, let’s get right into it. First, if you wanna evade the Trapper...

This is about 20 times longer and slower than it needs to be...

Now imagine the smaller objects flexing as they both bounce and absorb the energy. This is why you want your sound baffles made from natural fibers and not plastic. Nice soundtrack.

@NilsBerglund

2 ай бұрын

I actually later made some versions with mobile "mangroves", see for instance kzread.info/dash/bejne/l32rupeTZs3MYtY.html or kzread.info/dash/bejne/iop8z9SdZ8jTqZc.html

This is magical

@NilsBerglund

2 жыл бұрын

Thanks, glad you like it!

Idk anything about how this works but its mesmerizing

Interesting and informative. Thanks m8.

@NilsBerglund

2 жыл бұрын

Any time!

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)

@EchelonNine

2 жыл бұрын

Plinko?

@flamencoprof

2 жыл бұрын

That's basically a description of the workflow in my "organisation". :-)

this song brings back memories i don't even remember

The first 30s is all you need to see to understand the rest. Re-run it in an infinite space vs spacial confinement. Reflection waves make a difference. Also run it with a central point of oscillation with scattered blocks around it. Start with one block on one side and then progress from there.

Cant wait to get faded and watch this in vr

This is truly a chaotic system in my eyes because the points are always fixed but anything can happen to them there is no pattern as long as there is a force

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.

Brilliant.

@NilsBerglund

2 жыл бұрын

Thx!

I just want to take ecstasy and watch these videos while raving

Great sound barrier material, if you can manufacture it

its incredible how wavey the area that was first hit remains even after a good while

Great. Now I know I can put together in parallel several thousands of square-crosssection tungsten rods of a series of various dimensions to make the most awesome and unnecessarily fancy gun silencer ever

This is actually really fun to watch at 1.75 speed (both visually and auditorialy )

I have no idea what the title of this video means but Im here for it.

This is very close to being a nice visualization of refraction

toujours fascinant ce genre de simulations

@NilsBerglund

2 жыл бұрын

Merci !