You know it’s getting lit when the smart kid brags about getting 3/120 points

@Umar-yi2ot

2 жыл бұрын

Hello 👋

@Kali-bs7oj

2 жыл бұрын

@@Umar-yi2ot excuse me, mr vertical version of my logo

@melviness4769

2 жыл бұрын

@@Kali-bs7oj you mean horizontal? You're the vertical one lol

@Kali-bs7oj

2 жыл бұрын

@@melviness4769 I saw it as vertical since the colors are stacked vertically but yeah I see now how I kinda am the vertical one haha

@RoxelanaLisowska

2 жыл бұрын

Because hes only smart not genius xd

The video: "The hardest problem on the hardest test" Me who barely passed math classes: “Hmm, lets see.”

@kaydasilva595

3 жыл бұрын

hahahaha same here. Barely passed math but tought: well maybe i can solve it

@lukeskywalker691

3 жыл бұрын

Even if you ace your Maths quizzes and exams, I don't think that you can completely understand what he's saying

@pianoingels7128

3 жыл бұрын

@@lukeskywalker691 i had descriptive geometry in my architecture studies and was later a tutor for it, and as architects we are generally pretty good in spatial thinking and i understood the problem and even his solution almost fully, but i would never thought of it myself ofc haha

@netaropati7738

3 жыл бұрын

Same

@pianoingels7128

3 жыл бұрын

@@krewpi it is just about finding things you love to do. i was very average to under average in math, but when i started studying architecture it really began to make fun and i ended up being tutor.

what i find even more amazing is that someone had to come up with all of these problems and solve all of them

@drawwithme4964

Жыл бұрын

ikr

@quantumgaming9180

11 ай бұрын

EXACTLY, I hold respect for professors that are able to make great problems like these , not too easy to spoil the fun, yet not impossible for the students to solve by themselves.

@kinghosty

5 күн бұрын

​@@quantumgaming9180maybe they just put something rly random that looks hard and then someone solved it and after the solution looks right they jusf accspged it

I remember watching this back in 2017, my freshman year of high school, and then falling in love with this channel and math itself. Here I am in 2022, a freshman math undergraduate, still knowing damn well that I could never solve this by myself lmao

@mgara514

8 ай бұрын

Lmfao

@gazingstar-zz9gf

Ай бұрын

hahahahhaha@@mgara514

Imagine taking this test only to see some kid start flipping a coin

@TheBrickagon

3 жыл бұрын

😂😂😂😂

@muhammadumar8903

3 жыл бұрын

I'd defo start laughing at him and myself

@nataliegrayhandle

3 жыл бұрын

Gotta be creative to figure it out

@onlygrumpycat8380

2 жыл бұрын

Whenever you realize it’s not multiple choice😰

@luketaylor1305

2 жыл бұрын

@@kellycong8388 i think he understands the joke mate.

Imagine coming home tired from learning math at school, only to find this in your recommended.

@kingdinodragonite3470

3 жыл бұрын

Why can’t i see your sub count?

@EAOO

3 жыл бұрын

@@kingdinodragonite3470 cause ur bad

@mrgoose3453

3 жыл бұрын

Everywhere I go I see your face 😂

@gamercatt1235

3 жыл бұрын

Heyy

@user-jd4so3hr3t

3 жыл бұрын

This is the first time I see you without 100 likes

You can further extrapolate the simplification to a one dimensional problem: given the space between two random points on a bounded line, how many solutions will contain the center? Given a first random point, there is always a 1/2 chance that the other random point is on the other side of the midpoint. You can then extrapolate from one to three dimensions by cubing the solution. (1/2)^3 = 1/8

@AbdulIsik

2 жыл бұрын

Works in the 0th dimension as well. Given a random point on a point, what's the probability that they'll be the same point? (1/2)^0=1 😅 crazy how math works.

@shubhamtokas5995

2 жыл бұрын

you're just taking the assumption that it can be cubed. there needs to be serious proof behind it.

@minecrafting_il

2 жыл бұрын

@@shubhamtokas5995 but that might be easier than the original question

@kennethluo4934

2 жыл бұрын

that's really actually cool, idk if it's just a coincidence or if that's actually how it works cause you'd need to continue testing that in 4+ dimensions unless you could come up with a rigorous proof like in this video

@jordanliu9747

2 жыл бұрын

@@kennethluo4934 1/2^n It's correct in every dimension. It's the proof that's the hard part though

I’m in high school and I’m about average in math, I was so close to seeing this video as a write off and leaving. I’m so glad I decided to stick around, you explained this in a way that even the average can understand, you are an amazing teacher and this video was extremely entertaining!

@joshyoung1440

8 ай бұрын

What do you mean seeing this video as a write-off?

@shanedsouza189

Ай бұрын

It's a way of saying "math is too difficult and I'm not interested in learning this because I'm not going to use it in my real life anyway".

High school teachers be pulling this out then saying “This is a college level class, it only gets harder from here”

@azdirtnaper

2 жыл бұрын

TRUEEEEE

@cheesefries7174

2 жыл бұрын

💀

@thegrim418

2 жыл бұрын

That's actually a great idea. April fools will be brutal next year.

@thedarksaber

2 жыл бұрын

@@thegrim418 oh no

@mosio.2504

2 жыл бұрын

My math teacher did a huge ass equation and said "Its primary school knowledge" I don't even know how to deal with fractions

teacher: im just gonna skip this question, u guys should have learned this last year

@atikshsingh1598

4 жыл бұрын

teacher last year: im just gonna skip this question, u guys should learn this next year

@unknownvulture6189

4 жыл бұрын

@@atikshsingh1598 😂

@classymuffin4589

4 жыл бұрын

Why is this situation so damn relatable...

@rithanipriyanka2393

3 жыл бұрын

teacher who taught us the previous year : I'm just gonna skip this question, u guys should have learnt this last year

@mattjohnson4013

3 жыл бұрын

@@rithanipriyanka2393 teacher: this ones self explanatory

About 5 years ago, I watched this video and got inspired to study maths in college and take this test. This Saturday, I took the Putnam and solved 1 question!!!!

@kuolich287

4 ай бұрын

that is so cool! great job :D I'm thinking of taking maths in college too but I'm worried it'll put a burden on me as I'll be taking the maximum of 5 subjects. But this is so interesting :(

Your teaching abilities are phenominal, you have explained this in a way that makes perfect sense to me without simply removing relevant details to avoid simplifying them, which is what most 'teachers' would do and consider it a job done.

Teacher: "The test won't be that hard." *The test:*

@bluegamer07

4 жыл бұрын

Bratans Bratuchas 1.7k likes but no comments?

@sinan.7328

4 жыл бұрын

@@bluegamer07 yes, whats up with that?

@bluegamer07

4 жыл бұрын

Bratans Bratuchas strange.... well whatever I am glad to be the first one I guess lmao.

@sinan.7328

4 жыл бұрын

@@bluegamer07 it isnt strange at all I bought 2500 likes first then the other 200 came by themselves

@MK-sc9le

4 жыл бұрын

Bratans Bratuchas why would u buy likes though?

teacher: cmon guys i taught u this

@dharmang

4 жыл бұрын

Haha yes fucking teachers be like "Common peeps i just literally taught you THIS exact problem yesterday"

@Quarkee

4 жыл бұрын

us: Noo, you taught the nerds that. The rest of us were busy raising our hands, waiting for our turn to ask for help..

@luukabrassart7635

4 жыл бұрын

You had this 3 years ago...

Wow, the animation, and music, the way you explained all of this. This is a work of art. Well done.

I really love how you break it down ...it makes so much sense and you are super understandable! Thanks for what you're doing to teach these concepts. And breaking it down beyond the answer to this question to what you can apply to all other situations is GOLD! 🥰

This is hard enough to understand with diagrams and a helpful teacher, but imagine how smart you have to be to solve this with just pen and paper...

@bombfire8280

3 жыл бұрын

And limited time

@slatined4576

3 жыл бұрын

Some people even solve these things mentally 💀

@ytdude_g2042

3 жыл бұрын

@@slatined4576 i did bro. When he said it was 0,25 chance of the point cirkle to be in the area of the triangle i immidiantly knew it was 1/16 for the sphere

@ytdude_g2042

3 жыл бұрын

@@slatined4576 naw im kidding i dont know the answer lmao

@renedan7247

3 жыл бұрын

Its not about being smart, math revolves about knowing concepts, and recognising where you can use them. You might as well make an analogy to your native language, you know what words to use and when - thats math, but its a foreign language.

It's all cool in the exam until the atheist kid starts praying

@ten1162

3 жыл бұрын

asian atheist kid*

@kittenmimi5326

3 жыл бұрын

@@ten1162 uhmm that might mean the apocalypse is coming

@nicknawd7757

3 жыл бұрын

That’s me lmao

@zzztriplezzz5264

3 жыл бұрын

@@user-dk3et3hw9t what’s wrong with believing or not believing in god? Can people just get over it?

@richardbernadino6449

3 жыл бұрын

@@user-dk3et3hw9t whether god is real or not no one knows! Doesn’t matter to much, just live a live after your own morals

Watching it again 4 years later and I can see the Alice-Bob problem solving applied here too. Subtle shift of perspective from numbers to concept is all it takes from solving one particular question to solving an array of similarly framed questions

I love this way of visualization 3Blue1Brown as well as other Math related KZreadrs use. It really helps to understand these kinds of problems on a deeper level. For example, I doubt I would‘ve gained the same key insights from just reading through the listed write-up in comparison to your great video. I wish this method would be used in actual classrooms, however, with the dawning age of smart boards and such we might get tho this at some point ^^.

"If you choose 4 random points on a sphere...." I think I changed my mind can I go home now?

@magicmulder

2 жыл бұрын

My math prof, first lecture in first course: “Let’s take a simple example. Let E be a Banach space with norm M…”

@azysgaming8410

2 жыл бұрын

Exactly. That line itself made me lose my hope.

@lordartoriuscollbrande7434

2 жыл бұрын

Is it okay if anyone here didn’t mind if I only just asked if anyone ever wanted to ever watch my videos that I made? I hope that’s okay if I just asked. I don’t mean to bother anyone.

@RoxelanaLisowska

2 жыл бұрын

Why u are asking this answer your personal questions by yourself

@man-vd4zx

2 жыл бұрын

Exactly😂 a rational mind would give up in that point😂

Me at school: "ugh maths is boring" What I watch when I go home:

@beangobernador

2 жыл бұрын

it boring cuz u too slow git gud noob B) my PB: 7 minutes 38 seconds 12 milliseconds git gud

@itsatrap3703

2 жыл бұрын

Awesome 🤣🤣

@itsatrap3703

2 жыл бұрын

@@deleted-user-82u3ht92 Sad but true..

@butcherpete9252

2 жыл бұрын

@@beangobernador tf is you talking bout

@Hamsters_areCute

2 жыл бұрын

@@butcherpete9252 LMAOO

My brother recommended this channel, and this is a great introductory video to your content. The math is above my head, but the discussion about the process of problem solving is relevant to anyone. Cool!

I’ve watched this video every year since I was a freshman in high-school and now I just finished my freshman year of college and I finally understand every part of this proof and wow is it elegant

Me only a few minutes into the video: “What’s a tetrahedron?”

@casperthegamer7176

2 жыл бұрын

Not related but go pack go

@DBJ99_

2 жыл бұрын

@@casperthegamer7176 hell yeah GPG!

@frds_skce

2 жыл бұрын

Alright, real answer here *Tetrahedron is like pyramid but all the edges are parallel.* Think of it like cube and cuboid. All 12 edges of cube is the same length , meanwhile there's 2 different pair of different edges of cuboid with different length. In this case, *tetrahedron is a prism with 4 triangular faces, 6 straight edges, and 4 vertices (aka corners).* Hope this helps you

@OsinakiKun

2 жыл бұрын

I am so not understand any of this... But I still watched

@bobcostas6272

2 жыл бұрын

Build more pylons

You know shit is real when the kid with photographic memory starts re-reading his notes

@tShuka_

2 жыл бұрын

*god help us*

@arandomcowjustchilling4237

2 жыл бұрын

@Lil Quack Satan has left the chat

@jasongrenbox6997

2 жыл бұрын

Wait.. then whos left?

@mynameisjeff5397

2 жыл бұрын

@@jasongrenbox6997 Zeus?

@keanux5906

2 жыл бұрын

@@mynameisjeff5397 Zeus has left the chat

When I was in college we had a “project” that was due in a week. We were tasked to write a simple program that enabled the user to enter three, 3-coordinate points in space and have the output give you the area of the triangle. I solved it in one day and my answer was given on a single side of a single sheet of paper. The following week, all my classmates turned in these huge packets with dozens of pages in them. The following Monday the professor gave back all the graded papers except for mine. He held up my single sheet answer and told the whole class that their work was shit and that this is how your answer should look. I felt like a million bucks.

@nalat1suket4nk0

Жыл бұрын

Lmao

@xxneweraxx7422

Жыл бұрын

tbf ur class really was stupid then, this is incredibly easy

@sunnyk7893

Жыл бұрын

Wow nice job, what was your solution

@xxneweraxx7422

Жыл бұрын

@@sunnyk7893 given that the area or a triangle is (base * height)/2, all he did was probs calculate the vectors using the coordinates of the points given, to deduce the base and height of the triangle, and then output it, it's really nothing complicated to code on top of that, this is more logic than actaul coding

@kerrywsmyth

Жыл бұрын

@xxNewEraxx it requires 3 dimensional calculus, so unless you’ve taken advanced calculus of the type you only see in Engjneering or Mathematics majors in college, it isn’t that simple. I’m fact, everyone else in the course started their project with the same failed premise as you and that’s why it took them piles of useless paper and theory to attempt to solve it. With 3D Calculus it has a simple and elegant solution.

In 1D it would be 2 points "randomly" selected out of 2 points on a line, probability of 1/2 that it is the different point and the connecting line goes through the center. For 4D and above I think it's quite helpful to move away from the visual intuition and describe it formally, but it is still the visual intuition that was the key to the solution.

After watching this I had a great discovery. Big enlightment. I can safely say, that i've come to the genius conclusion that I understood nothing.

@daveasence8948

2 жыл бұрын

Ahh i too was enlightened to the fact that my noggin containing cerebrum was able to decifer nullity to what the pictorial visual was about.

@Hammy_tch

2 жыл бұрын

😂

@Hammy_tch

2 жыл бұрын

@@daveasence8948 😂

@guesswho9541

2 жыл бұрын

this is 100% me 😂, i never felt so relate in my life

@Hansulf

2 жыл бұрын

What? That was super well explained, came on

Teacher: there will only be 3 questions Me: thank god Test: 1,1A,1B,1C, 2, 2A, 2B, 2C, 3, 3A, 3B, 3C

@Anikinoro

4 жыл бұрын

@Angel Buceta this isn't Instagram

@Anthony-tp1md

4 жыл бұрын

More like 1, 1A, 1Ai, 1Aii, 1Aiii, 1Aiv, 1B, 1C, 2A, 2B, 2Bi, 2Bii, 2C, 2D, 3, 3A, 3Ai, 3Aii, 3Aiii, 3Aiv, 3B, 3Bi, 3C, 3D, 3E

@grada.r5049

4 жыл бұрын

@@Anthony-tp1md more like 1 a b c d e f etc. 2 a b c etc. 3 a b etc

@somewhat_human

4 жыл бұрын

Test B-Sides bottom text

@kd204

4 жыл бұрын

Basically physics tho... My teacher: this worksheet is due tomorrow. Don’t worry, it has only 3 problems Worksheet: 1a, 1b, 1c, 1d, 1e, 1f, 1g, 1h, 1i, 1j, 2.....

This is really good. Too many people tend to think the math is just memorizing a bunch of formulas, when in reality, they are like logic puzzles, almost like sudokus. So for all the people who say that math isn't your thing, maybe memorizing isn't your thing. This is way beyond my league, and yet you explained it so that I don't need any prior knowledge and equations.

@TheSteinbitt

9 ай бұрын

But you need to know the rules before you can play.

Before coming across 3Blue1Brown, I never knew just how much simple intuition could be transmitted by one man to an incredibly large audience.

Me watching this: *"Hmm yes, tetrahedron."*

@justaman7124

3 жыл бұрын

Hahaha

@eddiemartinez8277

3 жыл бұрын

Bro that was the moment when i realized "yea i shouldnt be here"

@Royal-sp9pb

3 жыл бұрын

exactly my reaction lmfao, this comment made my day

@asianalliancebs6474

3 жыл бұрын

hmm yes, 10 times 12 is 120

@toneasyy

3 жыл бұрын

Bruh exactly lmao

This guy: explain all the math Me: still trying to figure out what a tetrahedron is

@Artist_of_Imagination

3 жыл бұрын

Oh

@akdarklight156

3 жыл бұрын

oh me too

@somerandomdudewhodoesstuff3107

3 жыл бұрын

I’m gonna okay myself but a tetrahedron is a 4 sided 3D shape if I’m not wring

@asaniwasabi

3 жыл бұрын

@@somerandomdudewhodoesstuff3107 like the Egyptian pyramids?

@wesburrows3733

3 жыл бұрын

@@asaniwasabi no i think the pyramids are square based 3d triangles (pyramids)

I'm still in highschool and understood the way you approached this question,my mind hurts but at the same time feels relieved and proud.

I love how it's emphasis on the key being in how we think not the solution itself.

@momentoyal930

2 жыл бұрын

very interesting

Him: Explains hardcore math What I learned: ah yes moving lines inside circle very nice

@salwaabdullah1682

3 жыл бұрын

LOL😭

@erikhalvorseth3950

3 жыл бұрын

Youre not alone Sir. Still I wish I could have had a math teacher like him

@JoseRojas-hl7sn

3 жыл бұрын

Same

@NeelTigers

3 жыл бұрын

It’s not hardcore math lol..there’s just too much of it and you gotta have great intuition of the different patterns in your mind..so basically you need to be very creative and imaginative to solve these..

@ahnrho

3 жыл бұрын

Damn. I remember when 3blue had fewer than 200k. Wasn't too long ago, either. How it's all grown.

Girl: I don’t get why he doesn’t get my signals Her signals:

@lunaa9512

4 жыл бұрын

lolllllllll

@centralprocessingunit2564

4 жыл бұрын

AHAHAHAHAHHAHAA

@momov4060

4 жыл бұрын

damn I didnt think id find something this accurate out here

@manifestationhappiness705

4 жыл бұрын

Lololol

@omniyambot9876

4 жыл бұрын

G: he is cheating His boyfriend:

I took this exact test in college. I remember this question and it's great to finally see the solution.

@KejriwalBhakt

Жыл бұрын

And what was your score? Has anyone scored 100 percentage?

@derekfordyce9

Жыл бұрын

@@KejriwalBhakt haha, 0

I have just realised that math is fragmented. It doesn't matter how much of it a person may get wrong, what's important is that one experiences each of the questions within their own categories, gaining wider experience of each category respectively, and then having all the tools combined to connect all the pieces of the puzzle. That's what I just realised anyway thanks to this video👍🏼

As a wise turtle once said..... “I don’t know”

@aulalivre5481

2 жыл бұрын

Nem eu.

@DP-ot6zf

2 жыл бұрын

If a turtle said that to you, it's time to check your meds.

what a beautiful mindfuck

@paxera2913

3 жыл бұрын

xD

@Malik-im8zg

3 жыл бұрын

I changed this so you will never now why those people are crying

@minglei779

3 жыл бұрын

@@Malik-im8zgchill brub

@thenumberfour6455

3 жыл бұрын

@@Malik-im8zg you do realize that "useless comments" make up 99% of youtube right?

@abstrakt8709

3 жыл бұрын

The Number Four too true

i may be years behind on anything like this but you explained it in a way that makes sense

Being brilliant at maths is one thing. Being brilliant at perception/framing is a completely different skill. Good video!

teacher: “no calculators for question 5!” the question:

@Ryan-wp6vr

3 жыл бұрын

He did all of this without a calculator...

@parallelogrum7967

3 жыл бұрын

@@Ryan-wp6vr Yeah he did, if you exclude the graphing software

@oscDaBeast

3 жыл бұрын

@@parallelogrum7967 that was for the video not for the answer

@joeyhardin5903

3 жыл бұрын

i dont think a calculator would help you with this question

@hendric6149

3 жыл бұрын

even with calculator i wouldn't even know how to use against this question

Me: Watching cute cat videos KZread: So I have heard you like tetrahedrons

@andreasfDE

4 жыл бұрын

Your cat watched this video about tetrahedrons.

@momgo6533

4 жыл бұрын

Andreas F they’re only one step closer to world domination

@Steven-nq7fx

4 жыл бұрын

CreamHeroes? I know it's cringe, but I'm just curious

@justhingalit9780

4 жыл бұрын

Same HHAAHAH

@jonathanshapiro6593

4 жыл бұрын

I am c a c k l i n g

My take on the problem at the end of the video: Each person will have two people adjacent to them. They have a 50% chance of not being cheated off of from each, so you multiply 0.5 by 0.5. That means each student will have a 1/4 chance of not being cheated off of from both. Multiply that by 8, then the expected number would be 2.

@AaronRichardsMusic

Жыл бұрын

Now to take it one step further, what is the probability that those 2 students will not end up not being cheated on as opposed to any other possible answer.

@iamthinking2252_

Жыл бұрын

huh, all I got was that for 3 students... let's say student 1 looks at student 2 - If student 2 looks at student 1 (1/2 all cases), then student 3 will never be cheated off (expected number 1) - If student 2 looks at student 3 (1/2 all cases), student 3 looking back at s2 means s1 never cheated off (1/4 all cases) - s3 looking at s1 means everybody spied on. 3/4 chance of having 1 student spied on, expected is 75% for 3 students. Can't have 2 students not spied off, as who can the third student spy on (nobody)

@wren_.

9 ай бұрын

i got 1.2. first, I drew out all the points in a little octagon and randomly selected a few to circle. I reasoned that you can’t have three people circled in a row, because then the person in the middle isn’t able to spy on anyone. this means that you cannot have 5 people not being spied on, since somewhere on that octagon, there will have to be a group of 3. two circled people in a row is allowed though, meaning you cannot have any more than 4 people not getting spied on. that means that there are five possible cases. One where everyone is being spied on, one where one person is not, one where two people are not, one where three people aren’t, and one where 4 people aren’t being spied on. taking the average of all five of those possibilities gets you 1.2, or basically one. therefore, the expected amount of people not getting cheated on is one.

@holo23

8 ай бұрын

2 is correct. You can express this in mathematical terms by saying X_i is the indicator random variable that the ith student has no one spying on him, with the distribution Bern(1/4). Then E(X) = E(X_1 + X_2 + ... + X_8) = 8E(X_1) by linearity, therefore 8/4 is 2. Anyone that has a little bit of probability theory knowledge can solve this. However, that wouldn't be fun, as the video specifically stated that shifts in perspective is what makes solutions elegant.

@riccardosarti3234

7 ай бұрын

@@wren_. I'm afraid you're doing it wrong... each of the cases that you calculate can appear in different ways, that also need to be calculated if you want to procede this way. For example, if A1...A8 are the eight students, there are 4 ways that exactly 4 students are not spied on (which is the number of ways to choose 2 pairs of adjacent students - the not spied on - and the other 2 pairs of adjacent students - the spied on, i.e. not spied on: (A1, A2, A5, A6), (A2, A3, A6, A7), (A3, A4, A7, A8), (A4, A5, A8, A1)). Note that this was a simple case, because once you choose the spied and not spied students, all the graph is automatically determined, but in the case of 3 not spied on students, you have some freedom in selecting how the students are lookin at the others... Briefly, this way of calculating is insane and definitely not the elegant way suggested by 3b1b! See other comments that prove why 2 is the expected number (each student has a priori probability of 1/4 of not being spied, thus on average you expect 1/4*8=2 students. Try with 3 and 4 students by listing out all the possible 8 and 16 cases respectively and you'll be more convinced!

Every single video without fail manages to blow my mind

When I'm studying maths for exams, it's a nightmare but when I'm casually trying to comprehend it through videos like this, it's so fascinating.

@dangomangothe1941

2 жыл бұрын

I feel this so much, just having a maths exam a few days ago..

@sahazmarkk5624

2 жыл бұрын

@@dangomangothe1941 I hope that it went well xD

@dangomangothe1941

2 жыл бұрын

@@sahazmarkk5624 oh god as an atheist I hope as well

@sahazmarkk5624

2 жыл бұрын

@@dangomangothe1941 lmao, good luck for results

@Arcessitor

2 жыл бұрын

@@dangomangothe1941 cringe

Me after 3 mins: I understand Me after 6 mins: I understandn't

@Hahny

3 жыл бұрын

Me: after 2 seconds i understand Me: after 1 min. Im'nt understand

@SPlompie

3 жыл бұрын

Damn this is underrated

@nickbilly7329

3 жыл бұрын

It’s actually simple. You just have to break it down into simpler forms and use your understanding of formulas and equations to prove and solve it

@romilgoel4191

3 жыл бұрын

Did you understand ?? *Yesn't*

@Rookie1706

3 жыл бұрын

Ye

It's the 7th time I'm watching this and still amazed how great this problem and the solution is

Every now and then I come back here and always end up amazed. Love this video, I'm in med school, but I participated in math olympics through out all my highschool, love maths

Dawg why did the KZread algorithm send me here I’m dumb asf

@ez-boys4268

4 жыл бұрын

Literally was watching highlights of football and the next vid was this

@kayymini

4 жыл бұрын

Felt this😭

@stfuernie

4 жыл бұрын

fax im only tryna listen to Carti snippets

@lij9724

4 жыл бұрын

@@ez-boys4268 i was watching highlights of football to

@localdreamer13

4 жыл бұрын

They know that, so they're recommending you videos to make you smart, or at least pretend that you are to a group of nerds.

During a math test I get so anxious and scared of making arithmetic mistakes that when I have to do 6 divided by 2 I use the calculator

@anasmaher4783

3 жыл бұрын

I swear i do 1 plus 1 and things like that on calculator

@suk6556

3 жыл бұрын

me.

@olegdobinda8354

3 жыл бұрын

That’s just sad 😦

@Mike_Toreno

3 жыл бұрын

6 divided by 2? It's so easy lol, It's 12 *Checks in calculator* Oh...

@TheBrickagon

3 жыл бұрын

I once got 9,90 points out of 10 on a test just because I wrote 6/3=3 😂😂

I've never even expected the answer to turn out this simple

I did the problem with a square and it made it way simpler to do it with the circle! It’s really interesting because framing the question in a certain way makes it so that the shape of the object is almost arbitrary! I inscribed the circle in a square. I then divided it into 4 parts by the diagonals. Take an edge. That edge is 2 of the 3 points of your triangle. Now move the last point and note the area under which the middle is covered. That area should be only one of the 4 parts of the square that you cut using the diagonals. Using the same diagonals, you get 4 of these situations because there are 4 edges and each of them gives you 1/4. If you take a fresh square now and make 2 cuts that serve the same purpose as the diagonals in the other case, you’ll find that you have another set of 4 configurations that give you an average area of 1/4 because each set of 2 is mirrored. Since the circle is inscribed and we used areas we can use the same cuts for the circle and it still holds. If you do the same thing with a cube and make 4 cuts. You can do the same thing but you get 1/8. This shit is so cool

All the jokes in the comments aside, you've just explained something to me, a person who is terrible at math, in a way that actually makes sense. I think that says something about your teaching ability

@kukokeko

2 жыл бұрын

truly. where was this guy in 6th grade?

@seal2560

2 жыл бұрын

@@kukokeko Where was this guy during my entire schooling career (so far)

@valediction9174

2 жыл бұрын

facts bro why can’t teachers be like this

@Forward.4

2 жыл бұрын

Exactly. Teachers should be taught how to teach first

@smirfbroil6934

2 жыл бұрын

@@valediction9174 ;( we getting there, but teachers still payed like shit and not actually taught how to teach, just to show

“Take a moment to digest the question” Me : *What is a tetrahedron?*

@Silk0926

4 жыл бұрын

So true

@adeenala

4 жыл бұрын

And now Im dead thanks hahahaha

@ariwang8613

4 жыл бұрын

If you're actually wondering it's a triangular pyramid with 4 faces lol

@Flow86767

4 жыл бұрын

Ari Wang Thank you kind stranger!

@_____......_____

4 жыл бұрын

U shouldn't be here .... 😀😀

I lovveee these sort of math questions,,, and I love them even more when someone just explains this well how they can be solved so that I don't have to think much :D ( because usually I cant solve them alone, but no doubt if by chance i do solve something this hard its the best feeling in the world)

I think it often really helps with 3D problems to simplify to 2D, and 1D and see if you can find a pattern. That gives you an idea about what the answer might be; trying to proof or disproof your idea often gives you new ideas about how to approach the problem. This is especially powerful when you try to solve problems in 4+-dimensional systems.

*In class:* The solar system has 8 planets *In tests:* exactly how many stars are there in the universe

@manuel-no5zb

4 жыл бұрын

you have spoken the truth

@pao2725

4 жыл бұрын

Probably 24 stars

@masteryooda9087

4 жыл бұрын

I actually don’t know lol. Something like 2,000,000,000,000 x 100,000,000,000

@slattypatty9982

4 жыл бұрын

Nova nah maybe like 17 24 seems like too much

@pao2725

4 жыл бұрын

But why are we here just to suffer? Hm i guess 17 is more scientifically possible than 24... Thanks

Professor's: Put's effort making a hard question Me: **Leaves it blank**

@cozmos1553

4 жыл бұрын

He'll be sad

@user-bz1xk3pm2v

4 жыл бұрын

Oh I see what you did... your pfp

@mabo_lombo1533

4 жыл бұрын

Profesor: (ur profile Pic)

@mateusribeiro9384

4 жыл бұрын

My monography be like

@Crazylom

4 жыл бұрын

Put is You made a _greeeeat_ mistake

Why is it so interesting and soothing listening to people explain complex math questions when you don’t have any idea what’s going on. “How do you like them apples”

Me at 10PM: ok let’s get some sleep tonight Me at 3AM:

@enriqueortiz1421

4 жыл бұрын

Double Yell me rn

@omaralmadani4580

4 жыл бұрын

Double Yell me rn

@DiggoryJiggory

4 жыл бұрын

3:43am rn

@eitanav111

4 жыл бұрын

3

@Ares_TZ

4 жыл бұрын

What should I say? I live in Germany and its 4:56 am

I swear every elegant solution of a math problem is basically a big bruh moment

@clipkos3009

3 жыл бұрын

so true doe

@membranekeyboard781

3 жыл бұрын

*when you get your test back*

@hiro_6015

3 жыл бұрын

yeah i always think for so long only to find out the solution could be found out by a third grader

@debroopghosh7845

3 жыл бұрын

Maths is really beautiful tough problems have simple solutions but complex understandings

@rayankasam4784

3 жыл бұрын

Under what circumstance would anyone be able to find this.

I watched this video a while ago and now when I was preparing for jee advanced I saw the 2d version of this problem and suddenly remembered your video

I was never good in math, but is so cool when someone presents something that you would never think about it specially when you get a visual representation, great vid thank you youtube algorithm.

"Some of you with some multi-variable calculus under your belt..." "...uh....yeah, I got tons of that. Need a bigger belt even."

@zentempo7902

2 жыл бұрын

Yeah same i need a huge belt for all of the multivariable calculus

@lamarjackson9736

2 жыл бұрын

😭😭😭😭

@jamespeck10

2 жыл бұрын

um

50% chance. It either does or it doesn’t. Problem solved.

@nikj1178

4 жыл бұрын

That's not how this works, that's not how any of this works!

@thevigamerpixerlator

4 жыл бұрын

Possibility. Not probability. Possibility of you finding a 100 dollar build the next time you go for a walk? 50/50. Probability of you finding one? Probably near 0. (including the probability that you ever go for a walk in the first place lmao)

@krakatoadude4231

4 жыл бұрын

Let's imagine a world where everybody gets the irony

@ADeep007

4 жыл бұрын

Krakatoa Dude congrats on taking a post too serious. You win.

@lightskinche

4 жыл бұрын

@@krakatoadude4231 And then we have that one guy...

The fact that I am able to understand this speaks more to this man's teaching ability rather than my mathematical ability

This video was very insightful, always love your videos. Thank you!

Imagine solving questions like this with just pen and paper.

@z.e....3175

3 жыл бұрын

You write and scribble.

@pommes1287

3 жыл бұрын

@@z.e....3175 and flip a coin

@lukeskywalker691

3 жыл бұрын

This is Mathematical Olympiad

@pin2398

3 жыл бұрын

For eg.. JEE

@AnupSingh-kw3ww

3 жыл бұрын

@@pin2398 I'm preparing for the same ; )

I probably watched this 100 times Now i have started to understand what an tetrahedron is

@nusretakbulut7159

4 жыл бұрын

😂😂😂😂

@iqbaltrojan

4 жыл бұрын

a 3d triangle

@non123y5

4 жыл бұрын

Ahhhh!This was suppose to be a joke

@malikhafez8056

4 жыл бұрын

HAHAHAHAHA

@the_rover1

4 жыл бұрын

I still wonder. what is it actually? :|

Thank you for explaining this in a way i can understand my man. Keep doing your amazing work as you deffo got my sub

That way of thinking will help you in life too. When you get an insight there’s a temptation to rest on the solution, but using your new understanding of the overall pattern if you then try to use that insight to recontextualize the problem thru its lens, you can simplify your approach instead of ending up with a complicated solution. Often it can shift your perspective from seeing many problems with many different solutions that are hard to manage all at once, to seeing that they were all a connected problem with a simpler overall solution, because you stop needing to bandaid symptoms when you can work on the root cause

Schools: "Write that down, write that down!"

@mateuscr1915

3 жыл бұрын

lol

@sameersamrat3568

3 жыл бұрын

CHARLES THE FRENCH:😂👍

@jayveeaurea9091

3 жыл бұрын

OH HELL NAW!😭🥲🤣

@rocketmanfossel1174

3 жыл бұрын

Nope. As long as my school wants high grades from students to show off and bait parents, they ain't making math harder

Me: Watching Minecraft KZread: So i herd u leik polygons

@eggrolltheillegal6201

4 жыл бұрын

This is at the same level of some minecraft redstone.

@Ja-sm7sz

4 жыл бұрын

I was just watching minecraft then saw this

@joleeen

4 жыл бұрын

I've just watched a minecraft vid, wtf.

@astatine7999

4 жыл бұрын

Timothy Moore same

@juliourigunera9748

4 жыл бұрын

Same dude.

A good teacher is very important in every student's life,you are absolute good teacher 👍

Even though this problem is so difficult, it’s crazy how your 30 second answer makes it seem so obvious!

He’s literally solving the meaning of life and I’m trying to make sure that 3+4 is 7 just in case

@ea8455

4 жыл бұрын

Using two calculators because you don't trust the first one

@ahmedkhaled581

4 жыл бұрын

@@ea8455 😂

@jonathan0225

4 жыл бұрын

@@ea8455 was looking for this comment, and was not disappointed. 😆. A man of culture indeed.

@karlspasst2235

4 жыл бұрын

Enes Akbulut you cracked me up HAHAHHAHAHAHAHAH

@raydarable

4 жыл бұрын

Same.

Class: Solid, liquid, and gas Homework: Plasma Test: Fabricate anti-matter then harness the energy and relay it to energy required to the construction of several dyson spheres spanning the M31 group[5 marks] Me: The mitochondria is the powerhouse of the cell

@saaramb3452

4 жыл бұрын

This comment is underrated

@Aakash_Goswami1

4 жыл бұрын

Answer (D): None of the above

@ganeshprasad9851

4 жыл бұрын

@@saaramb3452 you can prepare anti matter using particle accelerator.. but you need at least a gram of that antimatter to harness the energy for building the Dyson sphere around a star...let us a assuming that you want to build one of those several Dyson spheres around our very own sun... Then you need start recruiting at least half of our current world population as the labor force required for this project. Assuming that you are a very good public relations company and have recruited half of the world population for this horundus task, still you need atleast a gram of anti matter to use it as start off to provide you energy for this start up job, but our current particle accelerators at CERN can produce about 100,000 anti protons per day and each of these last an average of 10 seconds.. So a gram means ahh... Let's assume it to be hydrogen's anti protons for calculation purposes 1 mole of anti-Hydrogen is 2 grams that (because hydrogen exists as H2) which means 1 moles of anti-Hydrogen contains (6.023*10^23) anti hydrogens so 1 gram is (3.0115 *10^23) which requires you to prepare a particle accelerator that is as efficient as that it need to create 3.0115 *10^23 anti-protons( I m using the word proton instead of hydrogen because it doesn't matter hydrogen can be called a proton as it has has only one proton and we count the proton and neutron for mass number) so the particle accelerator should work at an efficient 3.0115 *10^17 times the one currently being available. So in plain word's if we have the materials we would have done that long ago, unfortunately we don't have the materials we require. A gram of anti matter costs around 62 trillion dollars which means you need to sell your country for that!

@saaramb3452

4 жыл бұрын

@@ganeshprasad9851 ok thanks, i'll consider invading another planet

@grieferjones2237

4 жыл бұрын

haha get it it’s funny because school is bad please give me likes

I love how I’m a taking algebra 1 and have a midterm tomorrow and I am sitting here watching a video on finding the probability of a tetrahedron being on the center of a sphere. One the the hardest questions ever lmao

I took a moment to think about it before watching your solution. I decided to consider it a 3d drawing problem of sequential determinism. So I started P1 at 0% of containing the center and then using (I think I'm remembering my terms correctly here) converging summation theory (such as the Riemann-zeta nice vid you have on that, btw) I flattened the sphere's topography to a line and left the angular data in imaginary dimension-space. After reducing to a line I saw that my question was "How long does my line need to be?" To which it was immediately obvious as "half the total" and it became the basic dependency probability problem where the sum of 3 random values of 1-100 being >= 50. Of course, I am not an undergrad so my answer doesn't really count as worth any points.

I literally have no clue what hes talking about, but it sounds smart

@sslasherwolf1

2 жыл бұрын

U know something wrong with a text when the smartest kid say what is this

@bluelegion9812

2 жыл бұрын

Me too, took half the video to ask why im even watching this

@philippezevenberg1332

2 жыл бұрын

issa pyramid in a sphere.

@jaydencoffman1856

2 жыл бұрын

Well it a test. I think

@somedude2662

2 жыл бұрын

*SMORT*

And remember: This was just ONE QUESTION. FROM A WHOLE TEST

@M3rcuryMan

4 жыл бұрын

in germany we are getting kind of used to this kind of questions. often the solutions are even longer

@kattenelvis1778

4 жыл бұрын

@@M3rcuryMan Only if you're doing a masters/phd in math in Germany.

@erfan9749

3 жыл бұрын

@@M3rcuryMan Bist du sicher!? haha

@whateveryh2119

3 жыл бұрын

@@M3rcuryMan I don't belive you.

@beetlejuice8147

3 жыл бұрын

@@whateveryh2119 actually we do, this test is hard but not extreme, our education system is hard

once in a while this video comes in my reccommendations. each time i click and then watch until im lost. then a long time later its reccommended again and the cycle continues. each cycle i get farther into the video. one day i hope to reach the end.

I solved this a bit before you gave the final answer. While explaining how you got 1/4th the first time i thought of how the octant system worked and realized it was the exact same thing.

This guy is amazing at explanations. If he can teach the hardest problem this well, imagine what he would be like as a high school teacher.

@monsieurbobblehead3854

5 жыл бұрын

Yeah

@connorschultz9022

5 жыл бұрын

Hed probbaly be a better professor, most hs students disrespect or ignore the teacher then ask for them to re explain it or to have special tutoring over subjects they didnt listen to

@frostflakejr6324

5 жыл бұрын

@@alycias7345 yes it does, atleast for me.

@frostflakejr6324

5 жыл бұрын

@@connorschultz9022 I know it's really sad to see, and to top it all off the teachers most of the time do.

@JammyWammy69

5 жыл бұрын

Why teach one class, When he can teach the world with his KZread channel.

I must be doing something right to have gotten this on my reccomended.

@OKayD3N

3 жыл бұрын

Nope you have anime pfp

@james68279

3 жыл бұрын

For sure it ain't spelling 😏

@OKayD3N

3 жыл бұрын

@@jesse406 ok.. you’re subscribed to “dloow”

@christiancy2514

3 жыл бұрын

@@OKayD3N wtf do u have against people who put anime pics as their pfp? they just like anime

@OKayD3N

3 жыл бұрын

@@jesse406 What’s the issue with me being subbed to Carson?

Just took the Putnam last Saturday, I probably wouldn't have even know it existed without this video

Awesome. Always try to find a clever way to re-frame the question.

It is quite interesting how it can be simplified by just visual representation, doing it by formulas on the other hand is probably pretty confusing though.

@attempt58

2 жыл бұрын

Having eyes is a blessing.

@Josealock

2 жыл бұрын

@@attempt58 True

@beybrain7896

2 жыл бұрын

@@attempt58 And a brain to visualize with

@evilhutdug4665

2 жыл бұрын

@@beybrain7896 nothing really matters without the brain

@coconuutz1892

2 жыл бұрын

@@evilhutdug4665 well yes, as without a brain you have no conscious

me : * barely scraping maths* also me: i bet i could do this

@adriannanad4675

4 жыл бұрын

haven't done maths in 10 years also me: i bet i can do this with my pure primary school mathematics

@tone-deafbard3247

4 жыл бұрын

Tamanna Kareem lol same

@a.bagasm.7253

4 жыл бұрын

OnO

@holctomaz2562

4 жыл бұрын

@@adriannanad4675 A thing i like abaut this probelm is that you can "oraly" solve it with just almost no understanding in mathematics.

one of my favourite videos on the internet

Amazing explanation man totally loved it

Bruh why am I so addicted to videos that I can't understand???

@disadadi8958

3 жыл бұрын

And what part didn't you understand on this video? I mean the math wasn't that complicated at all.

@eduardoizquierdo309

3 жыл бұрын

Because you have an anime profile pic

@daraobongisonguyo

3 жыл бұрын

@@disadadi8958 stfu

@mikeztecha3808

3 жыл бұрын

Because people have always had an interest in understanding things they can't, that's why we're where we are today

@tb_mrpanda1908

3 жыл бұрын

@@disadadi8958 😳 you good bro

Fastest 3 things in the universe: 1- light 2- universe expansion 3-me clicking on a 3blue1brown notification

@SupLuiKir

6 жыл бұрын

the universe expansion between two points is faster than the speed of light provided the two points are far enough apart. The chance two random points in spacetime are not far enough apart to outpace the speed of causality is infinitesimal, assuming an infinite universe, therefore your list should be 1-universe expansion 2-light 3-the joke flying over my head

@Kelly_Jane

6 жыл бұрын

· 0xFFF1 I was going to make a similar, but less considered point.

@AtticusFinch65

6 жыл бұрын

· 0xFFF1 why does it depend on how far apart two points are? And what is the semantics of your hexadecimal username?

@alexnope2180

6 жыл бұрын

Kyle Horne pick two points within your eyesight, the expansion of the space between those points is not the speed of light or anywhere close to it However the further apart the points are the faster they move apart up to (and at a great enough distance) exceeding the speed of light This here is a little strange to imagine but arises because the universe is expanding from every point including points between points which brings us this acceleration

@jongyon7192p

6 жыл бұрын

Alex Nope yeah the universe is expanding faster than the speed of light, pretty much

That logic felt so amazing

I like this problem. I would totally wish to have more known about all the math that goes into that test and I would love to take that test

It’s weird how I’m an expert at math as long as the instructor keeps talking.

@phoenixx888

2 жыл бұрын

Wait so can u get correct answers?

@vulcan792

2 жыл бұрын

No contento con tener un restaurante o con ese cuero cabelludo envidiable

@liveen

2 жыл бұрын

John, that's what it's like to be taught by a good teacher. If you don't always feel like this when learning, or like it's an adventure or super fun challenge, and you just HAVE to keep going, then you aren't learning in the way that works best for you, and there IS a way for you

@adrienpinder1406

2 жыл бұрын

Nah word lol

@preshenkumar5632

Жыл бұрын

@@liveen Hey LiV do since im in grade 5 do you have any tips on studying subjects?