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A final game with Elwyn Berlekamp (Amazons) - Numberphile 

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The legendary Elwyn Berlekamp died on April 9, 2019. In a final filming session with Numberphile, the games expert taught us how to play Amazons. More links in full description below ↓↓↓
Extras from this interview: • Amazons (extra footage...
Dots & Boxes with Elwyn: • How to always win at D...
Elwyn's own video on Amazons: • Amazons Part 1
Elwyn obituary in Berkeley News: news.berkeley....
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumb...
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. www.simonsfoun...
And support from Math For America - www.mathforame...
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Videos by Brady Haran
Patreon: / numberphile
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Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanb...
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27 сен 2024

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Комментарии : 453   
@numberphile
@numberphile 5 лет назад
The legendary Elwyn Berlekamp died on April 9, 2019. In a final filming session with Numberphile, the games expert taught us how to play Amazons.
@wierdalien1
@wierdalien1 5 лет назад
This is one of the great things about your chosen profession Brady, you can record these people for posterity
@randomdude9135
@randomdude9135 5 лет назад
May his soul RIP
@idratherbewithmycatrightnow
@idratherbewithmycatrightnow 5 лет назад
Oh wow, rest in peace. Amazing that he could bring a final gift to the world before passing
@sugibudder
@sugibudder 5 лет назад
F
@MichaelMantion
@MichaelMantion 5 лет назад
i hate the background music. it made the video unwatchable and had to stop. Im very sad, been watching you for years. please don't add background music in the future.
@Uoper12
@Uoper12 5 лет назад
It's always such a sad moment when someone passes on, but it really is a miracle to have a beautiful moment like this archived. This is a bittersweet goodbye Professor Berlekamp. Brady, thank you for sharing this with us.
@StefanReich
@StefanReich 5 лет назад
Why is it a sad moment? Think bigger.
@medexamtoolscom
@medexamtoolscom 5 лет назад
Well at least he wasn't demented at the end, I don't know if he was actually smarter when he was younger but he seemed pretty competent here. And that's certainly better than barely even knowing your own name when you go.
@klaxoncow
@klaxoncow 5 лет назад
@@mico6155 There are different cultural and personal interpretations of what death means. Neither your nor anyone else's perspective and emotions are invalidated by the existence of someone who interprets things differently. Indeed, one way to look at it is that this makes everyone's emotional journey more unique and, therefore, more precious to preserve. I would just ask you to reconsider using "autistic" in such a pejorative and condemning way. It's unjustified, it's uncalled for and, more over, technically incorrect, as what you describe is sociopathy anyway (and, in either case, autism or sociopathy, is it anything said person has any capacity to control, so any condemnation is, by definition, useless anyhow). Let's not turn our individual grief into a fight. A fight that cannot even be won, as there are no right nor wrong answers to how someone takes a loss like this. Because my own interpretation here, for example, is that this can be a reminder to us that all of our time here is inevitably limited - so let us not let the small unimportant stuff block the bigger important things that matter. We, sadly, don't really have the time.
@andrewg3626
@andrewg3626 5 лет назад
KlaxonCow we need more people like you in the RU-vid comments
@alexwang982
@alexwang982 5 лет назад
F
@Maxman013_
@Maxman013_ 5 лет назад
What a legend. Thank you, Elwyn, for all you have done for society. Your contributions will live on for many years to come.
@worldsmostretardedperson
@worldsmostretardedperson 5 лет назад
How is he a legend? He was litteraly filmed
@chriswebster24
@chriswebster24 2 года назад
He won’t see this. He’s deceased.
@Triantalex
@Triantalex 10 месяцев назад
??
@ImaginaryMdA
@ImaginaryMdA 5 лет назад
Brady: "Sounds fun!" Prof. Berlekamp: "Okay, well, it is..."
@Triantalex
@Triantalex 10 месяцев назад
??
@rewrose2838
@rewrose2838 5 лет назад
79 years of mathematics and games is an admirable way for a life to turn out
@alexwang982
@alexwang982 5 лет назад
Rew Rose F
@dashingclasher
@dashingclasher 2 года назад
Yes, he will not be forgotten anytime soon.
@Bloodsaberxy
@Bloodsaberxy 5 лет назад
He made the Berlekamp-Massey algorithm for finding primes up to which show if the polynomial is irreducible
@Moxyval
@Moxyval 4 года назад
Wait what?
@Triantalex
@Triantalex 10 месяцев назад
??
@pauljoyko5320
@pauljoyko5320 5 лет назад
RIP Elwyn Thank you for everything sir.
@kcinnay157
@kcinnay157 5 лет назад
F
@kcinnay157
@kcinnay157 5 лет назад
Thanks for everything
@SeanNH94
@SeanNH94 5 лет назад
F
@Chungus67
@Chungus67 5 лет назад
F to pai respekts
@alexwang982
@alexwang982 5 лет назад
F
@bhatkrishnakishor
@bhatkrishnakishor 5 лет назад
Thanks Elwyn, even in afterlife helping us learn new interesting games. Going to teach my kid 🙂 RIP.
@bagourat
@bagourat 5 лет назад
Since AlphaZero is programmed to work on any 2 player, turn based, perfect information game, I would like to see its take on this one!
@narutosaga12
@narutosaga12 5 лет назад
bagourat YES!!
@jeffk1722
@jeffk1722 5 лет назад
I'm sure it would be great at it. This game actually seems more like go in its objective. Sure, it uses a chess piece, but you're basically giving yourself more owned territory than your opponent.
@lasseibsen2942
@lasseibsen2942 4 года назад
Can't imagine it would take AlphaZero long to master, given the relatively few moves you can do with only two characters. Pretty fast you should be able to calculate if you have won or not. But then again, i could be very wrong :)
@mileswilliams527
@mileswilliams527 5 лет назад
I love obscure games like this. It's always fun to code up an implementation in something quick like Processing or P5.js.
@brianpso
@brianpso 5 лет назад
Are these his last images before his death? So sad to see someone so important to computer science pass away.
@StefanReich
@StefanReich 5 лет назад
If you are sad when people die, you will be sad 24/7. Death is a transition.
@BattlewarPenguin
@BattlewarPenguin 5 лет назад
It's sad to see anybody pass away
@NortheastGamer
@NortheastGamer 5 лет назад
@@StefanReich Do important computer scientists die 24/7?
@angelmendez-rivera351
@angelmendez-rivera351 5 лет назад
Stefan Reich That is not how that works. One can only be sad about a death if one knows about said death, but any given person at any given event in spacetime only ever knows about a few deaths at most, one never knows about deaths 24/7.
@janhetjoch
@janhetjoch 5 лет назад
@@StefanReich I'm sad when people I knew existed die I probably won't be sad when you die cause I don't know you but I will be sad when a friend or someone you taught me great mathematics games dies Edit typo
@drpeyam
@drpeyam 5 лет назад
Rest In Peace, Prof. Berlekamp, you were a great mathematician and influence to us all
@jimgeary
@jimgeary 5 лет назад
Ah, this is the guy who wrote the book on Dots & Boxes, one of my favorite game books ever! (And I have a lot.)
@WeArePharmers
@WeArePharmers 5 лет назад
"The proudest thing that a teacher has ever done is to get students to be smarter than him." RIP, Elwyn.
@HungryTacoBoy
@HungryTacoBoy 5 лет назад
Quote isn't quite right. "The proudest thing that a teacher ever does is when he gets students who are better than him."
@alexwang982
@alexwang982 5 лет назад
FractalBoy F
@Triantalex
@Triantalex 10 месяцев назад
??
@bloxorzwizard7931
@bloxorzwizard7931 3 месяца назад
I called him once, about 13 to 14 years ago. I asked him if there was a formula for figuring out the 2 dimensional nim-like array of the game Tac Tix, by Piet Hein, the Danish astrophysicist. I had already done some analysis of it on my own, and didn't want to spin my wheels if there was some sort of procedure, as in Nim, for figuring things out. He informed me that there wasn't. So subsequently, I developed a method using polyominoes for systematically analyzing the structures and pairing them up in combinations. I analyzed probably 70k plus combinations, then switched to Tac Tex, the hex board version of the game, and have analyzed the polyhex polyforms, which is way more complicated. So a belated thank you to Dr. Berlekamp for his help and knowledge. I'm guessing that he, Conway and Guy had already looked at Hein's invention, and figured out that there was no formula. You want to be good at the game... you just have to brain it out, like in chess.
@johnemory7485
@johnemory7485 5 лет назад
Dr. Berlekamp was an inspiration. CGT is a love of mine, and credit is due where it's due. We lost one of the greats. I am extremely grateful for Dr. Berlekamp's legacy, along with his collaborators, of course. He was a great mind, and will be missed.
@neilsamuel5268
@neilsamuel5268 5 лет назад
if only we had teachers like him, we could have had so much more talented students on this planet. lectures of him would have been an honour to attend.
@ChrisSeltzer
@ChrisSeltzer 5 лет назад
:( I'm so sad. If his family or friends see this I hope they know that he gave immense joy to millions of people through these videos as I'm sure he did in person.
@EllieSleightholm
@EllieSleightholm 5 лет назад
Absolutely wonderful. RIP Elwyn. As a maths student, I can't tell you how wonderful I found this video.
@LaGuerre19
@LaGuerre19 5 лет назад
A lovely memory, frozen in time. The joy of sharing a game and passing time, together. Thank you.
@OtusAsio
@OtusAsio 5 лет назад
The destiny of all humans... and the knowlege of great minds, is to be perpetuated by their theaching to others. Thank you for sharing this piece of memory!
@AaronHollander314
@AaronHollander314 5 лет назад
Thank you for capturing his wisdom. May his memory be a blessing.
@toastyarmor6858
@toastyarmor6858 4 года назад
This is the sweetest video you've done, his students and student's students are surely going to do very great things. Something about him.
@gandung777
@gandung777 5 лет назад
This game basically is a fusion of chess and go, great game. RIP Elwyn, thanks for your contribution to mankind. Especially for not letting brady win
@angelmendez-rivera351
@angelmendez-rivera351 5 лет назад
Gandung Sadewo No, that is inaccurate. This game is significantly much more similar to go than to chess. In fact, the game only shares ONE similarity to chess, but that is as much of a similarity as it literally shares with checkers or backgammon. It's not a fusion of anything, not even metaphorically speaking.
@TheGuyCalledX
@TheGuyCalledX 5 лет назад
@@angelmendez-rivera351 It plays absolutely nothing like Go
@TimMaddux
@TimMaddux 5 лет назад
Brady at 1:49 - "Sounds fun!" Elwyn (drily) - "Ohhhkay, well, it is."
@Neptunequeen42
@Neptunequeen42 5 лет назад
Elwyn’s previous video inspired a programming term project of mine a few years ago, and it’s still one of my favorite things I’ve made and I had a ton of fun working on it. A life spent on game theory is a life spent inspiring wonder and creativity in minds around the world.
@HomeroTheHobbit
@HomeroTheHobbit 5 лет назад
Man, that hit right in my emotions... Rest in peace, Elwyn!
@ln5321
@ln5321 5 лет назад
I love how completely unimpressed with all of Brady's moves he was. He knew he couldn't lose.
@matthewwilliams5253
@matthewwilliams5253 5 лет назад
Awww watched till the end, seemed like a nice guy. I will teach my kids this game tomorrow. Thank you Elwyn for the video. RIP
@XxfishpastexX
@XxfishpastexX 5 лет назад
He died at old age doing what he loves most until the end. My condolences to those that knew him.
@schifoso
@schifoso 5 лет назад
That was really interesting, until the end, which was a complete shock. So very sad. Thank you for sharing.
@averagesongcontestan
@averagesongcontestan 5 лет назад
"Back in the early days of Amazons they were played by fax" I sorta misunderstood this at first
@tectzas
@tectzas 5 лет назад
I still do
@tre20tyu
@tre20tyu 5 лет назад
What a video and inspiring scientist. Rest in Peace Mr. Berlekamp. Am I the only one who looked online everywhere to find this game, found an app that got deleted and am desperately waiting for someone to develop something similar ?!?!?
@gbear1005
@gbear1005 3 года назад
we played a modification of this to teach games theory and optimization principles. learned to change board size, how to work as teams, how the game changes when you try to die. etc.
@dietfruit
@dietfruit 5 лет назад
Where’s a good place to find new games like these?
@minijimi
@minijimi 5 лет назад
So sad, glad you put this video out though, now he lives on.
@jacobr7729
@jacobr7729 5 лет назад
not really, I mean...
@dcterr1
@dcterr1 3 года назад
Sad to learn about Berlekamp's passing. I saw him a few times at various math conferences I attended. He was very bright and charismatic!
@navneiet3911
@navneiet3911 5 лет назад
Numberphile is the best! channel for mathematics as, it reflects the ideas behind topics ! Instead of just straightaway going to its definition . Thank you Mathematicians . My ambition is also to become a Mathematician .😊☺😊☺
@EllieSleightholm
@EllieSleightholm 5 лет назад
I want to become a mathematician too! :)
@navneiet3911
@navneiet3911 5 лет назад
What is ur special intrest in?
@GijsvanDam
@GijsvanDam 5 лет назад
Doing what he liked right up until the end. Inspiring.
@lukjad007
@lukjad007 5 лет назад
My condolences to you Brady and Dr Berlekamp's family. At least we will still have his memory.
@Vorkaloner
@Vorkaloner 3 года назад
What an outstanding channel with outstanding minds.
@Accoy2
@Accoy2 5 лет назад
May your soul rest now. Thank you for your work.
@a51mj12
@a51mj12 5 лет назад
who are you talking to, here in a comments section?
@Accoy2
@Accoy2 5 лет назад
@@a51mj12 The late Mr. Berlekamp. Who are you talking to, with a "comments police" attitude?
@molitovv
@molitovv 5 лет назад
What a quiet eloquent gentleman, rest in peace.
@O2CP
@O2CP 5 лет назад
Incredible game, great legacy, farewell Elwyn! Thanks for everything
@julianfogel5635
@julianfogel5635 3 года назад
Berlekamp has 3 algorithms to his name: the Berlekamp algorithm, the Berlekamp-Welch algorithm, and the Berlekamp-Massey algorithm.
@marcushendriksen8415
@marcushendriksen8415 5 лет назад
That looks like so much fun!
@NafenX
@NafenX 5 лет назад
Seems like a very interesting and pleasant dude. RIP
@connoroswald3606
@connoroswald3606 4 года назад
this looks like a lot of fun
@udayanjoshi2691
@udayanjoshi2691 5 лет назад
Interesting game. Playing this on a torus would be amazing
@shadyradwan261
@shadyradwan261 5 лет назад
I think you don't need a torus. If you can jump from one side of the board to the opposite side that would be sufficient. Isn't it?
@MrHyde-fu5sr
@MrHyde-fu5sr 5 лет назад
No shady, that would be a sphere
@EddSjo
@EddSjo 5 лет назад
@@MrHyde-fu5sr Actually, pacman is played on a torus, so Shady Radwan is right.
@MrHyde-fu5sr
@MrHyde-fu5sr 5 лет назад
That's also a sphere. The wrap around functionality is the same for both but a torus is much longer along the x axis before wrap around compared to the y axis. On a sphere, both the x and y axes have equal travel distance before wrap around. Because the board of Amazon's is generally a perfect square, meaning both x and y travel have equal distance till wrap around and sphere is the correct categorization.
@shadyradwan261
@shadyradwan261 5 лет назад
@@MrHyde-fu5sr hey there, it cannot be a sphere, actually you cannot transform a 2D square into a 3D sphere. You can transform a square (or a rectangle) into a torus. The dimensions of the torus depends on the ratio between the length and width of the rectangle. Let's have a thought experiment. Pause the video on the board, and imagine rolling it up around the x axis (screen width) and then wrap that tube in the third dimension around the y axis (connecting your ceiling with the floor). Now try moving from one edge to another. You will come in on the same row/column (depending on which edge) on the other side of the board. If it's difficult, try doing it on an actual piece of paper.
@joshuascholar3220
@joshuascholar3220 5 месяцев назад
Losing a combinatorial game to Elwyn Berlekamp is an honor.
@RandallStephens397
@RandallStephens397 2 года назад
At university, I took an AI class and in place of a final exam, we split into teams and wrote AIs to play Amazons which then faced off against each other in a round-robin tournament. We named ours C-SHEEN for C-based Search and HEuristic Evaluation of Nodes. It was a very winning AI.
@shaokis
@shaokis 5 лет назад
And I was wondering why the title has "final" in it 😔
@joydipchoudhury5956
@joydipchoudhury5956 5 лет назад
It's really quite an odd feeling when you watch a video and realise the person featured has passed on. Rest in Peace, Elwyn Berkelamp.
@KB-ld7jw
@KB-ld7jw 5 лет назад
Rest In Peace good Sir.
@rogerkearns8094
@rogerkearns8094 5 лет назад
What an intriguing game!
@robsample9546
@robsample9546 5 лет назад
Sorry to hear about Elwyn. RIP
@rhyboy1
@rhyboy1 5 лет назад
His mind was still so healthy
@MS-ib8xu
@MS-ib8xu 5 лет назад
I am sorry for your loss... great video
@harmidis
@harmidis 5 лет назад
I'm so sorry! We lost a brilliant mind.... Rest In Peace Elwyn Berlekamp.
@Freedom-js4th
@Freedom-js4th 5 лет назад
Hey Numberphile this patern: 1/2+1/3+1/5+1/7+1/11+1/13+1/17+1/19
@shruggzdastr8-facedclown
@shruggzdastr8-facedclown 5 лет назад
What a wonderful tribute!!
@ahmedhussin6454
@ahmedhussin6454 5 лет назад
RIP Such a beautiful mind & amazing game .
@nouche
@nouche Год назад
I’m a bit confused-can arrows be shot through other burning squares?
@lesthodson2802
@lesthodson2802 2 года назад
"Walter Zamkauskas" Ah yes, a very *Argentinian* name.
@bcfblack
@bcfblack 5 лет назад
how might one arrange the 6 Amazons on an 8x8 board? the 28 square perimeter doesn't divide this evenly. Perhaps 1 on each edge and 2 in the center?
@marcushendriksen8415
@marcushendriksen8415 5 лет назад
However you want probably, I doubt there are any "illegal" starting formations
@poke_champ
@poke_champ 5 лет назад
I read it like this "The legendary Elwyn Berlekamp died on April 9, 2019 in a final filming session with Numberphile" scared me there
@rosiefay7283
@rosiefay7283 5 лет назад
RIP Elwyn Berlekamp. He first came to my notice as one of the co-authors of *Winning Ways*, a marvellous resource for combinatorial games and other stuff.
@BGlasnost
@BGlasnost 5 лет назад
Interesting that he said a go player is the only one to beat him, the first thing I thought when I saw this game is that it reminds me of go
@PaulPower4
@PaulPower4 4 года назад
I'm reminded a little of Hey! That's My Fish!
@iainsmith1088
@iainsmith1088 5 лет назад
Ok, here's a question: how many sides does a circle have? I have a theory that a circle has an infinite number of sides. I have 2 reasons for this. 1) you can make a 2 dimensional shape with any number of lines down to 3, but you cannot make a 2-sided shape, anything below 3 is a line, which is 1-dimensional. 2) as regylar polygons increase (decagon, 100-agon, 26000-agon, Tree3-agin, etc) they tend towards a circle unless you draw then the size of the universe. So a shape with an infinite number of sides would be a circle, correct?
@courtney-ray
@courtney-ray 5 лет назад
Extremely interesting new (to me) game! Sorry for your loss 😢 His vids were great 👍🏽
@Lexyvil
@Lexyvil 5 лет назад
Rest well, Elwyn.
@moonspear
@moonspear 5 лет назад
rest in peace Elwyn
@Stone2home
@Stone2home 5 лет назад
Thanks for that film.
@willtaylor5981
@willtaylor5981 4 года назад
This game looks like it would also work well with more players.
@sabriath
@sabriath 5 лет назад
An arrow can't go over a burning square either?
@NoriMori1992
@NoriMori1992 5 лет назад
That's correct.
@filippoguarina6065
@filippoguarina6065 5 лет назад
Amazing 🧡. Do you know if there is a app or software for this game?
@hunterclark5345
@hunterclark5345 5 лет назад
there is an IOS app for it.
@filippoguarina6065
@filippoguarina6065 5 лет назад
Hunter Clark app name? I don’t find it in the store searching “amazons”
@jezza10181
@jezza10181 5 лет назад
I was just the other day looking at one of his algorithms. It factorizes polynomials over finite fields. Sorry to hear he has recently died :(
@davidherrera8432
@davidherrera8432 5 лет назад
Will miss him My deepest sympathies
@SuperMaDBrothers
@SuperMaDBrothers 5 лет назад
Love the music on this video. Can you fire arrows over holes made by arrows? I don't think so but I couldn't figure it out
@mcig98
@mcig98 5 лет назад
When was this recorded?
@135Pandemonium
@135Pandemonium 4 года назад
Why do such great people leave us? :(
@NemoK
@NemoK 5 лет назад
What?! You can't end a video like that! :( R.I.P.
@STLAZY
@STLAZY 5 лет назад
RIP :(
@shrimpeye
@shrimpeye 5 лет назад
RIP mate
@percydevries
@percydevries 5 лет назад
RIP
@felicityc
@felicityc 3 года назад
:( what an amazing man
@toonthewindwaker4448
@toonthewindwaker4448 5 лет назад
Rest in peace :(
@shanematthews1985
@shanematthews1985 5 лет назад
RIP, seems like an interesting game
@flobiish
@flobiish 5 лет назад
It's like Othello and Chess meet Checkers.
@Rostol
@Rostol 5 лет назад
thanks for this Brady ... this game was invented in the country i'm from and didn't even know it.
@TheKMing
@TheKMing 5 лет назад
But can you shoot the arrow over a burnt tile? Or over another piece?
@danielleanderson6371
@danielleanderson6371 5 лет назад
What a cool game and what a fascinating man.
@SquirrelASMR
@SquirrelASMR 2 года назад
Lol the amazon type music and ieieieeiieieieieeieeiei
@tristanjohnston-wood4916
@tristanjohnston-wood4916 5 лет назад
RIP Elwyn Berlekamp
@jadude378
@jadude378 5 лет назад
may he rest in peace
@hemanthkotagiri8865
@hemanthkotagiri8865 5 лет назад
This is so interesting.
@salkinds
@salkinds 5 лет назад
This guy talks exactly like Joe Pera and I love it
@medexamtoolscom
@medexamtoolscom 5 лет назад
Is this the same Berlekamp from the Berlekamp-Massey algorithm in information theory?
@TiaKatt
@TiaKatt 5 лет назад
It is. He also is responsible for Berlekamp's Algorithm for factoring polynomials.
@msmmath87
@msmmath87 5 лет назад
Amazing 👍
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