Pythagorean theorem | 3 Visual Proofs |

[@oliot4814]

I know where he lives btw. So if you want his address, message me.

[@NarutoShippudenIntro]

thank you I will now break in to his house and steal his computer parts

[@creemyice]

@Salvador Guzman I think he is talking about 3blue1brown

[@iqbaltrojan]

ummm

[@vipp4047]

what

[@akanshavishwakarma272]

😂🤣

[@typo691]

Nice. The pieces moving in sync with the music is also quite nice.

[@rfpeace]

BTW 3blue1brown sent me cheers!

[@miketian5348]

Me too!!

[@cikas4965]

Me tttooooo!!

[@gaurangagarwal3243]

And me also

[@dambotg89]

Channel name: Think Twice Content: Three proofs Okay

[@EduardoEscarez]

Think Thrice

[@mattgsm]

And the original thought you had too so it's Think quadrice right?

[@HomeofLawboy]

Me: Watch a thousand times

[@_yellow]

Eduardo Escarez I was going to say exactly that!

[@Inyrth]

Even if somebody doens't understand what everything means, it's still so nice to look at. Great style.

[@sinom]

Do you want: 360p 1080p60 No in-between.

[@jow_angelow]

LOL

[@ThinkTwiceLtu]

there should be 480p and 720p60

[@sinom]

Think Twice still not there. Might take KZbin a while longer to process it.

[@jow_angelow]

Think Twice i dont see it yet tho, i watch in 360p anyway 😂😂

[@N0Xa880iUL]

The synchronization with music is so soothing

[@ARBB1]

Next, a visualization of the Fundamental Theorem of Calculus would be good

[@typo691]

+1

[@limmortale2001]

+2

[@MahmoodMuhenned]

So informative and relaxing in the same time. Thanks

[@kylebryancagasan4447]

This is so soothing. Glad to have found out about your channel :)

[@lucianorodriguez7726]

MY GOD, MAN, IS A PERFECT CHANNEL! IN LESS THAN 30 MINUTES I'M LOOKING ALMOST EVERYTHING AND I'M NOT BORING

[@briann363]

super appealing, thanks for making this

[@ThinkTwiceLtu]

brian nguyen thanks for watching:)

[@Aurora_FGC]

A VERY beautiful visualization of a very popular proof (side note; loved the music)

[@edgarw5872]

your videos are super smooth and awesome, you deserve way more recognition

[@ThinkTwiceLtu]

Edgar Wen thank you~

[@tophu7903]

A new Think Twice video? AMAZING!

[@oussamawahbi4976]

best youtube channel ever

[@mac_3952]

I just discovered your videos today, and they are absolutely beautiful! Thank you so much for sharing them. Keep up the good work!

[@Tondadrd]

Had to watch about 4 times to agree and to look for what the comentators ment. Great vid! Still here from 3b1b

[@rfpeace]

what a beautiful way to say this!

[@0120-c2k]

Very nice. Came from 3B1B.

[@ThinkTwiceLtu]

012 013 thank you~

[@ChurchOfThought]

Very soothing, thank you Think Twice!

[@46pi26]

Explain this, atheists

[@clumsyjester459]

If you have one geometrical proof relying on area equality for a theorem it usually isn't very hard to come up with arbitrarily more complex versions of the same proof. The theorem won't suddenly get wrong, if you toy around with your right sided triangles for longer. They will still fit together nicely in plenty of combinations. Does that suffice?

[@46pi26]

Clumsy Jester Well, um, yeah. I guess it does suffice. Good job, atheists.

[@gredangeo]

What does this have to do with Atheism?

[@46pi26]

gredangeo It's basically just me ripping off a satirical joke based around the idea that something is so beautiful that it could've only been created by God Himself.

[@ceruleanmemoir]

46 & pi something like " e^iπ + 1 = 0"

[@Telozz]

Keep up the great work!

[@NcKyPmHzPPcrnTEat]

Your videos are the perfect balance between informative and simple.

[@mattgsm]

The music fits with the visuals!

[@0xffox]

Python 1:21

[@denisfuryaev8166]

0xffox я

[@castur_]

This channel should be much more popular than what it is now

[@funkysagancat3295]

Beautiful as always :)

[@ThinkTwiceLtu]

Funky Sagan Cat thank you very much

[@DiegoMathemagician]

Loving this channel

[@PixelatedFolf]

This is visually satisfying

[@joshuaancog9833]

The music is so relaxing.

[@uzKantHarrison]

The second one is so simple and cool!

[@GrandMoffTarkinsTeaDispenser]

I thank you twice

[@jasonli7883]

just earned yourself a new sub

[@ThinkTwiceLtu]

[@77mcgiver]

Great video!

[@Andrew-yj7mj]

those animations are amazing! what software are you using to make them? you deserve more subscribers!

[@ThinkTwiceLtu]

thank you:) for this one i used cinema 4d

[@logandarbz1257]

Finally. This was inevitable.

[@KungFuPanda1223]

i really love your channel

[@edmundolicona3443]

Gracias Esto me ha ayudado para generar mis demostraciones formales. ¡Increíble trabajo!

[@Makasu]

so satisfying

[@cikas4965]

it's....just amazing!!

[@Deuxice]

This channel's so effin underrated. :(

[@italyball2166]

Really nice animations!

[@ThinkTwiceLtu]

Leonardo Verdiani thanks a lot!

[@bunbunnbunnybun]

Beautiful

[@LimeEffy]

Cool stuff 😍

[@brutexx2]

That made me _Think Twice_

[@D3tyHuff]

My god, that pleased my eyes.

[@jaysprenkle1026]

Now I know how to explain the principles of algebra to my math phobic friends. Thanks!

[@cubicardi8011]

Holy when did you gain so many subscribers? When i watched your last video you had like 3K Subs but now!

[@rodolfobt1020]

Nice Video @a It’s kinda confusing for me but the video quality is as ever very nice Waiting for the next

[@denismazurak2925]

I've already seen many proofs, but still don't get the theorem intuitively) Very nice and smooth animations!

[@taharahmani1547]

is it the right way to understand science : visualising in very particular dimensions theorems . you guys have reminded me of the Einstein's approach; trying to understand concepts by imagining thought experiments and finding physical interpretations of fundamental science. that is extraordinary . still is there a remarkable opinions about the nature of mathematics and it's concerns : Henri Poincarré said that one mathematical object can express a non-finite and different phenomena's and as as a consequence it can have an infinite interpretations . as I shall take an example of what I am talking about let us consider the Pythagorean theorem not from the geometrical view but from the one of probability and statistics: we have a pocket which contains "a" balls with different colours ("a" is whichever number we choose). Now, we can only pick 2 balls successively with reset . the number of possibilities ,of combination according to Pythagoras is equal to the number of possibilities if we use another pocket which contains "b" balls of different colours plus the number of possibilities in a pocket of "c" balls . and all of that done in the same conditions of experiment (successively and with reset) . and finally we have our new interpretation witch totally different from the one with cubes (geometric ) . a²=b²+c²

[@antoniolewis1016]

View 7000 here. Just beautiful

[@pitadomu]

Even people who can't do math knows: Your videos = Awesome

[@tudorgeaman]

This channel is incredible, I watched all the vids !! But only 32K subs :(

[@liangpaiyi6609]

very great.

[@catnamedsaturnus]

It is wonderful

[@AmitKumar-mb6iy]

Excellent job sir very interesting

[@DynestiGTI]

Why isn't your channel blowing up already!

[@okoyoso]

What do you use to animate? Processing?

[@Ettenra1]

beautiful ~

[@ThinkTwiceLtu]

Ettenra thank you~

[@satviksingh5436]

Great vid

[@ismailnurmaghribi1702]

super nice video...

[@akanshavishwakarma272]

Keep it up dear 😍👌👍

[@ffggddss]

Nice ones! Fred

[@vaprin2019]

amazing

[@tg.amitgandhi]

Which software do you use to make such animations? Can you please tell

[@ThinkTwiceLtu]

Amit Gandhi Cinema 4d or processing

[@tg.amitgandhi]

Think Twice Thank you ☺

[@wiggamia4685]

How smood and very simple to explain it ☀😀

[@badhbhchadh]

I liked the last one the most.

[@user-hr7ty1jo8m]

greets from 3blue1brown.. very beautiful proof

[@lehuyvo3812]

wow very smooth lol

[@drenzine]

I want to ask, in the first proof, how we proof that the square has a side length of sqrt(a^2+b^2) or c?

[@mattmatt9324]

look at the sides of the square, they are the hypothenuse of a rectangle triangle with two sides of lenght a and b respectively (keep an eye on the animation to check those lengths)

[@drenzine]

@@mattmatt9324 is that the 3rd proof?

[@mattmatt9324]

@@drenzine no the first one

[@drenzine]

@@mattmatt9324 ok thx!

[@oliot4814]

bit of a fan, I am

[@zcreelex]

nice

[@SVP-uy9qb]

Yay

[@thecubersahil6827]

Earlyyy

[@merve4759]

your videos 😍

[@JM-us3fr]

Can you do a proof of Pick's Theorem?

[@Kryptovaluutta]

Math + art = marth?

[@ethangilchrist3534]

thus, math + art = Lucina

[@controlequebrado4455]

thus marth = Lucina obviously

[@fenzz5511]

Reupload? Well, I’m not complaining 😏

[@fenzz5511]

Beautiful as always!

[@Brixey55]

can you please do a video on Gabriel's horn. i'm not sure of what about it but i bet you could make some mind blowing visualization

[@ThinkTwiceLtu]

yes:) Actually one of the first videos that I uploaded to this channel was about Gabriel's horn, however I made it unlisted because I felt like the visual quality wasn't so good and the video was a lot more text heavy compared to my recent videos.

[@NarutoShippudenIntro]

Oof nice stuff

[@ThinkTwiceLtu]

tom b thanks:):)

[@fawadmirza.]

Can you make a video on binomial coefficients like how sum of first half coefficients = sum of last half coefficients.

[@flaviusclaudius7510]

How does the first one prove the Pythagorean theorem?

[@Abhinandan_Bang]

Subscribed

[@ListentoGallegos]

Can a picture be a proof? My teacher insisted it's not.

[@LimeEffy]

Part 2 when?

[@WordsandNumbers1]

👍👍

[@imaratokay]

*let gasp* I know this

[@Aric-ls7bf]

Yo i watch 3blue1brown but i found this channel separately

[@mkwarlock]

This is A R T.

[@GaleAeras]

I enjoyed this, but I couldn't quite get the second one. Can anyone help me?

[@chiquiflautro]

In the first proof, you never proved that c is the hypothenuse of a right triangle with sides a and b

[@chiquiflautro]

Nuno Mateus I know, it's just a pity the proof is not finished though

[@ThinkTwiceLtu]

at 0:17 the white line which connects the green triangles is the hypotenuse

[@marcotavano4681]

Think Twice I had the same doubt, thanks for clarifying

[@chiquiflautro]

my bad, looked at it before but failed to see it

[@SSJ3Tim]

Yes, of course it is the same length, but in what way does the video demonstrate this?

[@EchoHeo]

Wow

[@ferniarex]

*r* *u* *ok*

[@poweredbysergey]

Cool

[@arnavdas3139]

Wizardry

[@宇-s2w]

wait what

[@raghafazkamuhammad8576]

Don't think once. Think twice.

[@IQ.oo.]

cinema 4D?