Minimal Surfaces-The Shapes That Help Us Understand Black Holes
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- Опубліковано 14 тра 2024
- In this video I talk about minimal surfaces and how you can do your own experiment to prove if something is a minimal surface. I talk about why minimal surfaces are important in math and physics and show you some neat experiments to make several minimal surfaces at home
The STL file for these eggs: www.thingiverse.com/thing:478...
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This will all be on your next test...listen carefully
First reply
Thanks for the STL's will print for sure! What was used to create those?
@@dudicrous very close to beat me
Yesss sir !!!
I want a video on...
1. time dilation
2. twin paradox
3. theory of relativity ( with respect to point 1, 2)
4. what can you do if you have the power to travel faster than speed of light.??
5. how does (science behind) barry allen (FLASH) reverse time in zack snyder's justice league..??
6.what is space time continuum and how is it related to point 1,2,3 .??
My man went around the earth just for this video😭massive respect🙌🙌🙌
Coming up with super interesting topics isn't his only super power....
and he did it in mere seconds! he is truly beyond human
This guys is insane
@@silidox3440 😑
@@silidox3440 what do you mean "sarcastic" you don't appreciate his effort of going around the whole earth smh🤦
I'm so disappointed that you didn't dip the eggs in soap.
I was waiting for that.....
ikr, why show us those cool eggs if you're not going to dip them in soap
How could he troll us like this though? He knew... He freaking knew we would want to see him dip his balls in soapy water. Lmfao
@@humanbeing1429 ayo what....
@@humanbeing1429 wait what 😂
6:44 Wow, I didn't expect the soap cube to form such a structure inside itself at all! Physics is really an amazing thing.
this blew my fucking mind
Looks like a 4d cube - a so-called tesseract.
well, just try and imagine how a diagonal first will form when you lift the cube from the soap bath..
@@levetbyck thank you for this explanation!
That's not physics. That's the universe. Physics would be the study of that something. There is a difference. Physics is man-made, the universe is made in a way or by a thing or process that will never be understood, not by physics, ever.
I had a student about 20 years ago who did this as an extended project whilst still in high school. He DID do the maths to prove the minimal surface which involved multivariate calculus (multiple integration). He went on to Oxford. Just stunning level of maths for somebody still in school
You know that a person is dedicated when they walk around the whole world to prove their point.
A flat earther's brain would be scrambled...
He really did to. I remember he called me up telling me he was gonna make this video and I told him he was nuts but it would be epic. He stopped by my house on the way around and we had a few beers together and promise not to tell anyone but that night he strayed off course a little bit and made his minimal walk a bit maximal walk as he staggered around. We laughed and we laughed and said our good byes and in his final slurring breath as he walked on he asked me to promise not to tell anyone. Sadly I was drunk also and never remembered him asking me this until about five minutes after I finished posting this. Win some you lose some I guess but such is life.
@@seditt5146 ha
@@seditt5146 Ha. Ha. Ha.
6:25 I had no clue that would be what it looks like, that's heaps cool
What the hell are you doing here mate? I seen your comments in like 4 completely different places.
@@yepee1 he was curious, just like us. trying to comprehend Dr Freeman's physics theories that enable him to bunnyhop so efficiently across multiple physics engine iterations of his world
@@pr00fx6x9 sorry what?
@@_Ht half-life (video game) reference.
@@yepee1 If you have seen him on those 4 completely different places that means you were there as well. To my point of view, it makes your question even stranger...
So the definition of minimal surface is: an object made in such way that when you dip a wire frame of it in soap, it doesn't look like Pringles.
🤣
Well you get the idea.
Actually if it does make a shape like Pringles, then that pringles shape is the minimal surface area
Minimal in this sense means lowest energy level relative to a given boundary.
@@anonymousperson2886 Sounds like a problem.
8:30 specifically, the MEAN curvature at each point is 0. Specifically, a minimal surface is just a solution to the minimal surface equations (in R3). This doesn’t mean the the “second derivative of a curve on the surface is always 0” (that would mean the surface is always a plane), it means that the mean of the principle curvatures at each point is 0. This is a concept in differential geometry.
Does a saddle have negative curvature? The catenoid looks like a saddle, but it has 0 curvature?
Yes, that statement does not sound right. It is also contradicted when using the cube which had discontinuities in the second derivative.
@@CalifornianViking that wasnt the correct minimal surface, it shouldve formed a normal cube
In studying DifGeo we learn about curvature, let's say Gaussian Curvature, K. K < 0 for a saddle, but that doesn't mean it's a minimal surface. It is true that Minimal surfaces have K less than or equal to 0.
@@joseville a saddle has negative Gaussian curvature. See my comment above
That part where you almost got a hypercube by dipping a cube of straws into soap; that was cool.
Yes!! Actually if you do it right you get an actual tesseract. He probably just didn't do it carefully enough and the upside cube collapsed.
*inside
Almost a 4D cube.
Everyone here is wrong. You would only get a cube within a cube, and that's not a tesseract. A 4 dimensional shape requires 4 distal dimensions and you can't make it by simply putting a cube in a cube
@@michac.8283 Just a projection...
The part with the string and the cube blew my mind, I didn't even know that was a thing that happened
the part that broke me was when he dipped the whole fucking cube in soap
Why did it form a square in the center? I would think it would be point or cube shape in the center, because it should be symmetrical, right?
That's why i love science. Unpredictable and amazing
@@vibaj16 i think it's either not a perfect cube or there are multiple solutions with minimum surface that are possible and we are just seeing one of them
@@vibaj16 there was no way that air could get inside that area
Please keep doing these crazy mind boggling science experiments I love it! Nobody else does this so I'd pay for you to continue finding new things lol you keep me interested in science the way I usually am. Thank you so much! I love the natural geometry and everything!
Just helped me understand how boundary patches are created in the CAD software I use. Very interesting. Might be useful for future demonstrations of minimal surfaces too
The demonstration with the cube totally blew my minimal surface brain away.
I guessed tesseract but makes sense to see a plane and not a cube inside because it’s Less surface.
😂
Rip
Hi
@@scottpitner4298 if there was a cube inside it could minimal surface by also doing this :^)
Did not disappoint. I especially liked the 'pop the film in the string' bit; I was not expecting the result. Keep up the good work!
What a fantastic video, the simplicity and elegance of the bubble demo showing these non-intuitive concepts is very clever approach. Subscribed!
7:36 can we appreciate how this man walked around the whole world for us?
damn you commented this before me
@@ayme5868 of course, toxic armies deserve less
@@GigiM_winx ?
respect 🙌
@@ayme5868 I think they were referring to your Kpop pfp
7:36 it's really appreciable how you have to walk through the whole earth to make us understand this simple point.
He didnt even sweat
You are the definition of curiosity and clever explanation that requires deep understanding Mr. ActionLab
I used to draw something very similar to the shape the cube made of strings created! except it was a cube within a cube... Wow, really loved this one!
holy shit. When the cube went into the soap bubble i literally gasped in awe and just stared like a deer in headlights.
I was thinking Tesseract for fun and then it came close :)
Same and my jaw has never literally dropped from awe before even after 33 years
For me it’s when he popped the soap layer inside the string and it makes perfect circle
I thought it would form concave faces, but it was an order of magnitude cooler - almost Tesseract ;) I am wondering why the square was formed this way? Perhaps it is a random fluctuation or the two parallel walls were a bit closer to each other? Looks like the square could form in any other orientation in the cube. Perhaps it is the direction the cube was submerged and lifted from the soapy water?
It's called a hypercube. It's basically what a 4D cube looks like in 3D.
"nature always does the calculations perfectly"
well, considering math was invented to describe nature, that is inherently true
Not really true.
1) Maths evolved beyond its initial goal of describing nature and is now a pure abstract thing of its own. The disciplines that describe nature are now called natural science. Its relation with maths is that it uses some parts of maths as tools, but maths itself is not a part of natural science (just like a technician that comes to your house to fix things is not a part of your house or your family - you use their expertise but you don't own them).
2) Most mathematical objects can't exist in real life in a "perfect" way, because natural objects are bound by our universe's limitations while maths objects can be whatever we want. Nature doesn't calculate anything, it just exists by its own rules and it doesn't match maths 1:1. For example, the soap film has width and local imperfections because of air currents, shock waves going across the film, etc. while mathematical minimal surface has none of those, it's truly perfect.
math wasn't invented it was discovered. 1+1=2 before we even knew it
@@ticosug5319 it was invented. "1" and "2" and "+" and "=" all need to mean something. yes the concept was discovered , but we made (invented) a system to describe that concept...to describe nature...
nature is discovered, math is invented. though that is not to say discoveries are made in math, or that it's continually baffling how the system we invented continues to describe everything we discover
@@samgu3750 so humans invented 1 +1=2 u dont need a formula to know that, same thing with subtraction, u dont need a formuto know that. Humans invented formulas and that's all, the math was always the math point blank period before and after us. To this day we still discover that formulas are inaccurate and the only way for somethjng to be inaccurate is for their to have a set structure as to which is accurate. Which means the answer was always the answer, just because u created a formula to discover the answer doesnt mean u invented the answer
@@vsm1456 but if you consider all variables the imperfections are actually perfections.
Love the way you break down these physics topics. Makes watching with my boys very enjoyable. 😁
When it tied in with atomic orbitals and black holes it blew my mind. Thanks for this video!
6:38 I thought it formed a hypercube projection first.
I mean I would guess that, if it was a perfect cube, it would form a hypercube but the errors in the phyiscal representation make it so its not perfect
It's a supercube
I don’t think the inner cube will ever happen because if it does, the inner cube will collapse in the same way as the original cube.
@@Ramog1000 I think this would only happen in a vacuum, but I agree with you. A perfect cube frame in a vacuum should form (I think) a hypercube projection like that. Or maybe it just arrives at a point rather than a smaller inner cube?
@@CSpottsGaming I think you’re right about the point www.geogebra.org/m/zvT4eMWj
the cube that was dipped in a way looked like a tesseract
Cause it almost is
almost.
😂
I think maybe you mean a ‘shadow’ of a hypercube
or 4D cube
This guy is so incredibly cool. Great video and, as always, very interesting and informative. I hope you teach 4th grade science because people like you can change lives with your knowledge and enthusiasm.
4th grade science is pretty specific, why 4th in particular
Man! that really helped to improve my understanding about minimal surfaces, & surface tension
7:30 That's what i love about this channel. The dedication you have to circumnavigate the Earth just for a 10 second piece of video.
Just wanna stop and say how much I loved the furrowed seriousness with which he declared "we have to look at some soap bubbles".
In name of science he played with soap bubbles a hole week
@@djAstraim the name* , whole*
I know most of these bubble tricks because of a science museum I went to as a kid. they had a huge room just with bubble stuff and I suppose I was making tons of minimal surfaces.
I have seen Greg do the finger Wiggle many times on your videos but I had no idea quite the speed until you showed me on the Chrono it’s amazing!
A minimal surface egg entails a minimal surface mother laying minimal surface eggs that will hatch minimal surface babies out of the minimal surface eggs.
and minimal surface fish lizards that first evolved minimal surface eggs
We're making a Mother of all minimal surface omlettes. Cant be afraid to crack a few minimal surface eggs
AHHHHH
But what about the minimal surface dad or yet, the minimal surface nest?
thats minimal surfucking insane
I don't think I've ever been as mind blown as I was when he did the rectangle in the soap film, I expect it to just budge inwards slightly but that was nuts. Amazing video man!
I love the variety on your channel!
This is definitely one of your coolest videos!
Scientist to Engineer: Wanna tell me the complex math you did to find out the minimal surface of this shape?
Engineer to Scientist: *Flashbacks to dipping the frame in soap-water*.
No I don't think I will.
Who needs complicated papers when you have B U B B L E S ?
Soappy complex math is thight
@@djAstraim yeah yeah yeah! Barely an inconvenience.
Well, if you have the equation of a curve, you can just put it through an online calculator and find the second derivative of that curve.
Engineers can't do real mathematics.
I’m more impressed of him walking around the earth in 3 steps
My mind blown after seeing the square at the end, man! That was freaking cool !
Oh my god. The string thing is so friggin cool. I love this channel!
Whoa the string popped in the middle is sure nice idea for my teaching demonstration next semester :v thank you so much
It's pretty cool: first you demonstrate a line that's constrained to be imbedded in a plane, but it can take whichever route it wants to follow along that plane, and then you pop the bubble inside it, and add a constraint that it enclose the maximum possible area of that plane, but the location within the plane is free.
Welcome to Action Lab ,
Where you experiment with your brain by watching complicated videos and end up breaking your brain if it's no strong enough
The man shows his knowledge by his speech . He felt like complicated but when you listen him carefully you will understand what beautiful he want to try to explain to you
@@RG-tl5jlYou are right that is why I watch all of his videos 😀
I find them very fascinating
Ooo
not*
I like Doritos and pee pee when I smile. You like red too?
Thanks, I appreciate this video. I Learnt something new. Seems as though things as simple as what you've shown can teach some complex things.
Thank you so much. I had a really hard time understanding a minimal surface, but the example with the can, the wireframe and the soap bubble made that clear. I did not see how you could minimize the surface of the can. Blew my mind to see that the soap bubble in the wirefreme bends inwards, thus decreasing the surface. I know I sound not particulary smart, but that was beautiful to see.
6:37 the minimal surface cube reminds me of the hypercube!
It’s 4D
Technicaly that was the shadow of a hypercube (carl sagan video).
By extension, does this mean shadows cast minimal surfaces?
My immediate thought
Yeah, except the inner part was just a rectangle instead of a smaller cube. It was more a hyperwedge.
@@chitlitlah
I hate that when I’m riding my bicycle!
One of the math professors at my university has been studying minimal surfaces for almost 30 years. He was among the first group of mathematicians to plot minimal surfaces and create mathematical software for simulating them
So basically he a genius
@@J.A.huscher A regular mathamagician
@@AnarexicSumo a regular mathematician that change the world. That man is galaxy brain
they don't seem helpful in any way tho. They look similiar to 3d ai designed shapes for maximum strenght with minimal quantity
Dude, you're breaking my brain 😂
Another great video! Don't know how you track all this stuff 🤯
I thoroughly enjoyed this episode. I found it very very intriguing! 🤓😎👏👏 Thanks 👏👏
Who else wanted him to dip those eggs in the soap bath to see what happened?
Nothing would happen. The eggs are already minimal surface
Many of us understand that. But seeing is believing.
@@mikosoft I don't think that's correct. It would just be forming more minimal surfaces on the egg. For example, if he had a solid version of the square that he dipped after he dipped it, it would form bubble surfaces, but differently since its now a different shape...
@@mikosoft i know. It would just be cool
@@madisont3123 no I think the soap film would just coat the egg
Be pretty cool to see you pop the string ring in slow mo to watch it correct itself into a perfect circle.
I bet the speeds that different parts of the thread reach during that correction are mathematically related to the minimal surface itself.
Up
That cube bubble is amazing!!!
Thank you, I love learning. I'm 40 and me and my son love watching your videos.
6:38 what the actual hell, it's almost a Tesseract! Soap bubbles and Thanos now makes sense!
I love how science that isn't taught in school is more interesting than what is taught
Learning is fun when it isn't mandatory!
Facts
I can't believe you walked around the entire earth just to make a point. Pure dedication!
The strong thing is so cool, and it works, I wanna see more of that stuff!
I was studying derivatives and maxima minima, this video just boosted my learnings
Please make a video on how close are we to reading brains
looks like an interesting subject to talk about
We already made a progress on visualising dreams. Research about it you may find interesting stuffs!
Scientists already know how to read minds, but through energy inputs, not dna.
Although scientists may be able to copy our intelligence but how will they be able to copy our conscience and feelings to a robot
But our brains don't store information in dna right? From my understanding, they change their structure (which cells are connected to which) in order to learn new things.
But I'm not entirely sure: I could be very wrong.
This is next level information. Thank you.
one of your best videos. so interesting!
Seeing that soapy cube make a tesseract absolutely blew my fn mind!!! I’ve never seen that done before And is by far one of the coolest things I’ve ever seen!!!
It's not a tesseract. The center was a square, but a 3d projection of a tesseract would have a cube in the center. TBH I use to think it was a tesseract too until I saw this video where he shows it really clearly. We both learned something today!
Nahome Tesfay my mistake I only seen the side view, I went back and rewatched the whole thing.
@@kodakincade8063 It's really easy to miss when looking at a picture
Nahome Tesfay I actually looked away for a second the first time I seen this video and only seen the view where it looked like a cube it the center lol
@@nahometesfay1112 It looks way too similar. I would love to see an explanation on why is it that way (even if it's only a coincidence).
This was awesome!!! The cube bubble blew my mind bubble . I’m definitely going to do this with my kids.Keep up the good work man bringing Science to everyone is a gift
This is so awesome! Thank you sir!
As always, amazing video.
This is one of the most beneficial videos I’ve ever seen in regards to my perception of reality
the fitness gram pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding.
Pewds alt account
Yeeeeeeet outta here m8
What cult is this?
Ah yes i remember when that was funny, 3 years ago 😐
I can't believe he walked across the entire Earth to just explain a concept. That's some dedication.
I learned something. What I don't quite know yet, but definitely some information was absorbed by my brain about something.
Imagine if you could do this with some kind of material and let it dry out leaving you this shape
There is. Do the same in Greenland
Pretty sure that's how they would've made those eggs...?
@@ItsNotMeitsYouTu8e pretty sure they are 3d printed
Maybe freeze it
you can use nail polish because it makes bubbles and drys fast, but it might not work for big areas tho
4:01 - this is actually a very good reasoning for the shape of pringles as it is...they are basically trying to achieve the minimal surface!
The pringle shape actually has more surface area and thus requiers more chip than if it was just flat
They quickly achieve a minimal shape, once I open a cylinder of them darling.
Omg those experiments should be unique on youtube, never saw such things!! Thanks!!!
These eggs are so BEAUTIFUL! This kind of art I like!
Brilliant! Outstanding, insightful presentation! Thank you for all your hard work on this one.
Him: Now we have the minimal surface area you see. Here is a catenoid!
Kids: We just want to blow bubbles!
"Only I can appreciate the soap bubble on all it's levels."
I’m a kid and this seems super interesting to me
the dedication this man has for his youtube account, we walks around the whole earth just to prove a point
Whoa, that's super cool.
And good for irl demonstrations.
This is honestly one of the coolest things I’ve ever seen, thank you
This was awesome! You just popped up in my UA-cam recommended, and I am so glad it did. Cool science videos always help me out of my mood for self-inflicted death.
This is incredibly fascinating.
this just blew my mind!!!
Nicely done and interesting video. I admire your way of bringing up complex scientific topics in a simplified yet not too simplified form to the public. :)
5:45 I thought I’d seen just about every diy experiment you could do, but this is blowing my mind bruh
THANKS FOR THIS ...IT'S VERY INTERESTING!
Morell Mushroom looks strikingly similar to your egg. Fungi, specifically the mushroom needs to maximize surface area so the spores have the best chance to migrate and they use the seemingly same structure.
Also, the string on the soap film looks like a Mandelbrot set. Awesome episode.
Happy HOLI......🤗🤗🙏🙏
Happy holi
Happy holi
Happy holi
Happy holi ! from PK
This shows the number of Indians
7:40 Bro he literally just walked across the earth to demonstrate this, respect 🙏
No he didn't its obviously cut 🙄🙄🙄
@@gamerpro608 shut up no it's not cut
@@gamerpro608 how do u know
@@gamerpro608 but he said so smh
Yeah well he just paused the cam for a second to get to the other side (prob going behind it) then unpaused it, THATS how I know
This video is phenomenal! I never knew about any of this before, how is it so damn cool and I'm just discovering it?!
I'm pissed my science teachers didn't teach us this, this is dope af
That "almost looks like a hypercube; forming a square in the middle" cube was probably the coolest thing I saw in a very long time. Cheers, Mate!
Ohh!
How amazing it is that our nature is Soooo Interesting and how astonishing it is to know that inspite humans know everything,
They know nothing!
That's a complicated concept in simple words and scenes 😍😍
omg at 7:00 when the cube gets dipped and comes out I immediately thought hyper cube but then realized by looking at it that a cube is merely a hyper square. mind blown.
Beautifully explained. Nice video.
7:40 I can’t believe he walked around the entire earth just for the video
That soap cube almost looks like a hypercube/tesseract.
^ Marvel fans *heavy breathing*
Your explanation is amazing
Great video yet again!
This stuff is more entertaining and educational then most my school classes.
i learn more from your videos than i ever did in school
I always learn so much from your videos. Spindrift comes in Cran-Rasp?! My life is forever changed.
I think this in principle demonstrates the unique computational properties of modern analog computing components. Transistors can hold memory, but the mechanical processes of the universe can calculate in its very physical mechanism all sorts of complex calculations. Also super happy I got to see an actual tessaract, or at least its folded down version on video. It surves as a useful analog to the grand geometry of the 5-d universe as a whole. We a projection of higher order primordial forces, that meet together to create a section belonging to all of them.