Now I do

@@josephstalin7458 you are everywhere. why? prove mathematically

@@nihongojozu121 lmao...nice one mate hehehe

Lit one bro haha

I wonder why they mentioned cone in the definition when slicing a cylinder also produced an elipse

I was just procrastinating for finding quotes for a final essay about the future, and thanks to you, I found one that is both generally wise, and came from a topic that I'm actually interested in. Thank you, you might've just saved me some points.

Im always so impressed with how Grant seeks to understand the processes behind mathematical thinking in his videos. Not many videos have the guts to do that. I like how he second guesses the famous mathematician's quote about genius being a light bulb moment with his better summation of it being more like a residue of experience (a mathematical maturity, I suppose) which for me is more on the money. Grant's one of a kind.

+1!

And it works similarly for all kinds of ingenuity from music to business and beyond. Phenomenal is the right description.

I'm crying it's truly so beautiful

팩트폭행 나쁜거임

MatrixWolf BADA BOOM BADA BANG

We should add a "bada-boom bada-bing" symbol to LaTeX for use at the end of proofs...

BBBB.

Will King haha yes! what do you suppose that would be?

Is that 3 B's followed by 1 B?

Austin Thompson because it’s perfectly ridiculous

And ridiculously perfect.

SQUISH THAT CAT

Wait till you Learn about "spaghettification" It's when an object gets stretched while getting closer and closer to the center of a Black hole

Isn't that more or less the same thing?

Yeah agreed. Most of Da Vinci's engineering ideas had already been looked at by other people. E. g. Brunaleschi.

Bahhh

Well there's two foci. I must have been on the wrong one :(

Mathemagic. Okay, I'm out.

wrg, no such thing

DUDE ME TOO!! I'M EVEN GOING TO BE LATE FOR WORK BECAUSE OF THIS AND I DON'T EVEN CARE

The voice of a fascinated man, in love with Math. Now that you mention it, it is not the standar imposed youtube documentary accent, it is hipnotic like Carl Sagan or David Attenborough. Passion.

Skyscraper me too

Do you make software, too?

You didn't get her commentary.

They've been doing it for thousands of years. You can slice a party hat on an angle or cut a canteloupe on an angle or cut a canteloupe into a cone shape and then cut it on an angle. Yummy.

@@origamiandcats6873 mathmatically playing with foods

@@origamiandcats6873 😒 Not everything is about eating you know!

Can we have a t-shirt? :-)

I want this on a T-shirt!

I competely agree with that statement, this has inspired me many times i love math

He could have made it full-circle and connected that idea back to art. While things like paintings and novels may also seem to be born from some mysterious and miraculous inspiration, in actuality the painter and author are drawing on various experiences from making previous works, as well as from studying the world and the works that others have created.

Kishan Thakkar you used four dots instead of three

Sorry, it was supposed to be 12:20. Corrected.

Swoopy _1 3Blue1Brown would have made sure the time stamp matched perfectly.

If you look at the GitHub repository for manim, you will see that he has a pre-made animation called ClockPassesTime that is configurable with the "run_time", the "hours_passed" and a "rate_func". With this template it is super easy to insert a clock anywhere in one of his videos that advances x amount of hours over y amount of run-time, and it will always be perfectly in sync. github.com/3b1b/manim/blob/db649d6576daab97b1e21312c4161b5526638bdc/mobject/svg/drawings.py#L378

Erik .py? What sort of devilry is this?

That's a Python file. Not sure what you mean.

8Papa1 69th like reeee

lmao meme

Je suis un grand admirateur de Poincaré. La science et l'hypothèse et tout ces oeuvres vulgarisateurs sont une vraie pépite.

Your teacher sounds uninspiring and awful, it's a shame to see how little appreciation mathematics gets nowadays after all of the great things we've achieved thanks to it. I don't mean it in a "I was born in the wrong generation" way, I'm just quite disappointed by how mathematics is treated, especially by students.

In India there's no creativity while teaching math and only those proofs are taught which are in book. Students are NEVER encouraged to work our something new, lateral thinking is nearly zero. Now of course this isn't the case everywhere but in most school this happens. Most people just think it's all about applying algorithm and nothing else.

+DrNawMai Maybe back when Pythagoras was the only math teacher? lol

Well there are movies on many social issues but people never change from a movie. You will see people supporting the movie but still staying trapped in stupid ways of teaching

DrNawMai well... yeah, there was a time when being a mathematician was at least considered honorable, and not a nerdy nerd nobody likes. It's sad to see how schools butchered the reputation of math

Hows 8th grade bud

i do not thing you understand it well🤡

@@cat-des650 i don’t thing you spelled all the words correctly

@@Oxygenationatom i do not thing he new what he talking about

@@brightblackhole2442 i do not thing the meth is mathing

Nice

Austin Garrett What’s the direction of the force you mentioned?

Despite the likes, I'm not convinced this is right. It sounds legit at first, but I can't get it to work. Here's what I think you're saying: 1) 'Turn the cone upside down.' If we put the apex at the origin, that means the height of the cone at (x, y) is sqrt(x^2 + y^2) if the angle is 45 degrees (if it's not 45 degrees the height is proportional to sqrt(x^2+y^2)). 2) 'Imagine the height of the surface is equal to force.' Okay, so f(x, y) = sqrt(x^2 + y^2), but in which direction? 3) 'You have two decoupled simple harmonic oscillators.' For a simple harmonic oscillator, the force must be in the opposite direction to the displacement. If we assume you mean the force points towards the origin, then we would have f(x, y) = -xi - yj, since this is in the opposite direction to displacement (xi+yj) and indeed has magnitude sqrt(x^2+y^2). Now f(x, y) = -xi - yj does indeed describe two decoupled simple harmonic oscillators in the (x, y) plane, the solution of which is an ellipse in the (x, y) plane. But this ellipse would be symmetrical about the x-axis and the y-axis, whereas the ellipse on the cone is clearly offset. Perhaps you are talking about a particle travelling on the *surface* under the influence of gravity. This does indeed describe an ellipse, but the motion is not SHM. This can be seen by noticing that the potential energy is lower at the low end of the ellipse, meaning the kinetic energy and therefore the speed is higher. But if it were SHM then it would have the same speed at opposite points in the motion. Perhaps you are saying the particle is constrained to the surface of the cone and is subjected to the force f(x, y) = -xi - yj. But this would cause reaction forces from the surface of the cone, meaning the total force is not -xi - yj anymore but something different, the solution to which might not be SHM. Clearly there seems to be a connection somewhere, but I think you were too quick!

@@reubenadams7054 for physics majors everything is simple harmonic oscillators. Jk but really I wish I was insightful as you guys.

That's why few hundred years ago, an astronomy physicist thought planetry motion is harmonic.

Nunca es tarde! Yo estoy estudiando matemáticas por la uned y hay mucha mas gente mayor de lo que me esperaba. Algunos se cogen 1 asignatura por cuatrimestre y poquito a poquito disfrutando. Es una carrera preciosa!

How would you find the largest tangent sphere?

Yeah, I have the same doubt

I believe that the answer is like this (I may be wrong): A parabola is an infinitely tall conic section. The larger tangent sphere would be both infinite in size and infinitely far away. Thus the second focus would be infinitely far away. You cannot directly prove it for a parabola because of this.

standup maths did this, go check it out

i wanted one for the hyperbola

Its a well developed software by him. See:- github.com/3b1b/manim

veni vidi vici

Good luck Jk

you should find same video about latin))

How did it go?

Kevin vs. Gamingz is that classical or ecclesiastical pronunciation you’re speaking in

Aditya Prasad and in India very less people Know what is maths.. no even the teachers..haha

1/0 We can change that! I can see that is about to change due to channels like this.

So there are 10 people ?

Actually, I think this is true

"non math lovers"

You could do a demonstration with fruit. Yum.

While the demonstration mode is really captivating crisp and clear , application scenarios really is another ball game---it really brings forth the question whether your understanding has developed from within yourself or has just played along the the understanding of another person. Self realisations of topics are the crux to learning physics or maths. No amount of crystal clear demos can bring you the joy that you find by understanding something on your own for the first time, regardless of how small it is

Chiranjit Ray totally agreeing with you. The best teachers are the ones who provoke self realization and providing just the perfect amount of knowledge as a push.

I hate the fact that you're wandering in utterly desultory manner, please stay focused. I've been waiting for follow-up videos of vector fields for 2 months!

Because Science Wow Kyle you're on here too? Makes sense, considering what you do haha love your videos too

No TAKE on me

Hi show, love the Kyle!

Nihilistic Depths lmao

dude you need a girlfriend or something equivalent

Roger I wonder what's the mathematical equivalent to a girlfriend...

Autumn Zuleeg god dammit

So what you're saying is that rather than getting married, I should just buy a coffee mug with 2 handles on it. Topologically equivalent, but costs much less.

This phrase supports my belief that memory is a crucial component - the crucial component? - of intelligence. Without a good memory there is no residue. By the way, he said "residue of experience".

Well how do you define that threshold ? :)

Ben Jackbag Mank X- axis as IQ and Y-axis as number of humans . Then I would suppose ( intelligent guess) it would look like a Guassian so what 'drop' you are talking about?

interesting point indeed. So my next question is what do you think about, How IQ works? I mean if u are really interested in some deep insights(mathematical) into certain problems and you are willing to work hard for it then your IQ would grow gradually, Is this trait a product of certain environment (e.g. certain TV show maybe inspired when you were child) or Is it genetic? or maybe both ? or certain other factors... Are you suggesting only certain people in the general population have that kind of unique combination of ENVIRONMENT and PARENTS and "other factors". Thats the reason there are so few numbers of such Geniuses exist..

Abhishek Sharma I'm about to cry right now great speech

:) :)

Ive been decieved this whole time. Orwellianism isnt supposed to be in effect yet!!

Like on my t-shirt!

@@Agvazela_Vega not everyone sees color everywhere they look

3blue1brown , I didn’t know until someone told me lol

You know, same, the last time i saw this was probably in 9th grade, i wasn't able to come up with it then, and although i remember seeing it back then now i was able to come up with it in 2 minutes, (of course with the introduction of the spheres), and since 9th grade i've done olympiad math, I'm older though, its hard to know if my brain has developed or if i really did become more astute, or whether i just had the details stored in my brain and i was secretly recalling them, you know what, thinking about this is a pain, why bother?

krishnaprasad chandrashekar well yes but actually no

i still cannot find the exact perimeter of an ellipse

Lol. You are just going to have varied slice sizes though.

@Maselek Thanks for dressing up the trite sentiment in a creative way, but explaining what is not understood seems less cruel than capitalizing on it with a joke.

If something is in the shape of N-ellipse, there must be some reason for it. There is something that constrains the distance among multiple focal points.

Think of an elipse with infinite focal point all conjugated to where the magic happens!!

Zak El Aboudi that would just be a circle.

Yes, an incomplete circle. Infinite focal points does not mean each point is connected to its neighbor. You must zoom in and flip it 90 degrees to take a hold of the new dimention.

So cool...

Math isn't about why, it's about why not! *throws combustible polynomial at 90° angle*

T series is BS

What?

Mairis Bērziņš 1) Not really 2) You came from pewdiepie vs t-series didn’t you? Pewdiepie himself didn’t want to be associated with t-series anymore, therefore the meme died. Your reference to t-series is invalid

@@fakefirstnamefakelastname8305 Are you dumb? My comment had nothing to do with Pewdiepie but rather than refferencing T-Series as the most subscribed channel on youtube. It seems to me like you are totally fucked up by the Pewdiepie vs tseries shit that happened that you can't think clearly and notice that everywhere. Go and rethink your life. This channel truly deserves a lot more subs than it already has.

you ruined my day by reminding me T-series is the biggest channel on the platform

Wait, where??

I feel like mentioning that this is done by fixing a circular cross section then pushing the vertex infinitely far away. Also, that it needs to be in infinitely long cylinder.

neopalm2050 Yeah but you can just take a subsection of that and it would be a cylinder. Damn we need to start calling infinitely long cylinders just cylinders and call what we know cylinders now as cylinder segments.

Terminology doesn't easily change.

neopalm2050 thanks, I was just thinking how? And u gave the answer.

I don't get it, do we pull one end of cylinder(pipe) infinitely far away? But how would that make it approach the shape of a cone, technically it would still be a cylinder, right? Or is it that if we look at it from the other end the radius of the circular cross section of the other end of the cylinder would approach (apparently) to zero, thus looking like a cone? I haven't really studied any other, so bear with me.

Gforz *badabobadabang!*

it is what

De rigeur insult attempt from vapid dullard: "What?"

It's pure love.

lol just draw the cones and spheres duh

I know this is late, but this animation was based on a written proof, the written proof already exists, it's just more mathematically defined. showing it as a 3D animation just helps to get an intuition for why the math checks out.

good luck understanding it

"We cannot know WHY," is Feynman speaking about the measurement problem, Heisenberg Uncertainty. The manner in which we make measurements will sometimes result in "lost information" which we know must be there. The HOW, according to Feynman, is repeat scientific testing and experimentation, as well as geometric proofs to help decipher the curved data-sets. The benefit of the geometrical approach was a *astoundingly* rigorous formal mathematical definition for quantum electro-dynamics which won Feynman and others a Nobel Prize. Since this video presents an excellent reason for using geometry as a foundational educational component for mathematics, I think Feynman diagrams would make an excellent follow-up video topic! :D

Also, as a physics-related aside, the concept of the "Light Cone" makes this all the more interesting. "Gravity Wells" could be another linked concept.

You could sell it to them as an "ice-cream cone packing problem"...

Only because they don't know them. It is my experience that lots of mathematics can be sold as interesting if you don't introduce algebra :)

@@Evan490BC Lmao.....or rather, a story called THE MYSTERY OF THE ODD-EGG SHAPE

Rezwan pranto He makes his own; it's available from his website.

Look at descripcion.

I love colours

I love maths to

Does that mean they released a Math II? O_O

It's "math" without an s (totally not trying to be a snobbish a-hole but it really bugs me when someone says "maths")

I love mats. I have one that is checkered, and another with dodecahedra. I used to have one with tesseracts, but it slipped away into the fourth dimension. :'(