It’s even better, because Conway hated being known only for Conway’s game of life, so discussing something he did that is lesser known is probably what he would have wanted.
Yes, we can solve this if we bend the rules a little bit. Specifically the rules that say you have to jump other pieces. Or that you can't just put any piece on Row 5 from wherever.
Kevin: "You can solve it if you bend time" Also Kevin: "Using 27-digit-dimensional space" Still Kevin: "He called it the Monster" *boldy explains nothing to audience* More Kevin: "And as always, Thanks for watching!"
The "you can solve it if you bend time" thing is a bit complex but very well explained in the paper in the desc tartarus.org/gareth/maths/stuff/solarmy.pdf
@@vincentvanzwietenOFFICIAL Yep! In the paper they mention a general version of the problem for N-dimensional checker boards, and have similar results. For a 3D checker board, you'd be able to reach a score of 7 with finite moves, and 8 with infinite moves (once again using every soldier).
Uhh... I mean, he was a great man, but didn't give us "life" Unless he's your father - in which case - I'm sorry for your loss. EDIT: Yes, I get it now! Apologies for the dumb comment! ;)
I'm all sad now..I remember when I was super fascinated with Conway's game of life in middle school, and I remember when my 8th grade teacher told me she had actually met Conway in person and they were friends..and I was so amazed and wished I could meet him some day..what a weird feeling it is to know that he was just human, vulnerable to corona like the rest of us. May his beautiful lessons live forever in the mathematical community, and may his games continue to appeal to the interests of people of all ages, from cs students programming the game of life at school, to nerds watching Vsauce and Numberphile. Thanks for watching? More like thanks for making this video Kevin.
@@duk8227 how on earth did you derived that he is an alcoholic by using fact that he died of corona? are you one of the corona-deniers degenerates or something?
2n+1 for the moves seems complicated.. if the goal is reached when the final piece hits the target level, and each move removes one piece, then you'll always make total pieces - 1 moves? as you can't have 'pieces left over' as any piece used effectively deletes itself.
On the second half of the previous year, one of my friends came to me with the idea of implementing Conway's Game of Life as a Software Development project and we ended up implementing a very basic version (i.e. not very optimized) in Unity. One day, I showed him a Numberphile video of Conway explaining Game of Life and he was like, "He's still alive?" and I was like, "Of course, he is." I didn't even know he died until this video. RIP John Horton Conway. We'll miss you.
There's actually a pretty intuitive way to see why you stall out. I'm going to post this before listening to the explanation, and before morning coffee so I could (possibly) be wrong. Movement requires spending pieces. More importantly, it requires spending *nearby* pieces. Movement higher requires spending pieces that you had to pay to move up there, meaning those pieces themselves "cost" more. The cost ends up exponential in the distance you move, at least doubling for each additional square of range, but the number of pieces in your "accessible fuel pool" increases only quadratically with increasing travellable distance, and so you starve out. If everything was conveniently in the right place, it should exactly double for every step up, but nothing is ever convenient, so it probably costs more to really actually move them. You can obviously move at least 1 place, at cost 2 (using 2 pieces from below the line). There's 4 fuel available within 1 distance (orthogonally, or by Manhattan distance) of your starting point, so you can move at least 2 places (at cost at 4). There's 9 fuel within 2 distance, so you can move at least 3 places (at cost 8). There's 16 fuel within 3 places, so you can move at least 4 places (at cost at least 16). There's 25 fuel within 4 places... Not enough to move 5 places which costs at least 32. It gets even worse from there. 36 fuel within 5, but cost 64. 49 within 6, but cost 128. 64 fuel within 7, but cost 256. Distance 10 has 121 fuel but costs at least 2048. In 1 dimension, fuel is sparser and you can't even move up 2 places. In 3 dimensions, fuel is denser, and you can move father - but the cost is still exponential which eventually beats the cubic fuel availability of 3d. In fact, any finite dimension Euclidian space will eventually run out of accessible fuel. Even if you can move a piece by more than one space in a hop, or diagonally. In a hyperbolic space, you should be able to move an unlimited distance up, because you access to fuel increases exponentially with distance. Note: we live in a functionally Euclidian space, and it costs fuel to move things - including fuel. We live in a very complicated game of soldiers. Time to watch.
Update: I ran through a simple thought experiment modification where you're allowed to stack as much fuel as you want on a given square, and the cost to reach a given height with ideally placed fuel is actually the Fibonacci sequence, rather than doubling! 1 piece at height 3 cost = 1 piece on height 1 + 1 piece on height 2. 1 piece at height 4 cost = 1 piece on height 3 + 1 piece on height 2. A piece at height n is height (n-1) + height (n-2), the same recurrence as the fibonacci sequence, whose successive terms (regardless of starting terms, as long as they're both positive) tend towards... The golden ratio! That's how that comes in. This is probably all explained right in the original paper proving it impossible. Which I should probably go read.
@@SunflSeeds Nah, he was just really confused that Stalin didn't surrender when Hitler marched into Moscow. Though, I guess Napolean was in the same exact situation centuries ago.
Everytime i get here because the headline sounds like a bad app ad and everytime i get dragged into the abyss of math and it's true nature, and by that i dont mean bad school math. I'm talking about the pure fascinating logic behind every single formula, every single number and how simple math looks when you such cool way to bring in across.
Almost everyone (myself included) don't fully understand just how greatly the math we know have been simplified and "dumbed down" that we'd even find the fact that there's extensive proof that 1+1 = 2 ludicrous.
I’m the oldest, and I’ll tell you how. Ya gotta jump twice, duck twice, dash to the left then right then left then right, draw a b and a and write start.
I think you missed the meaning of this sentence. He doesn't say that "Mathematically impossible" is almost the same as "Impossible". He says that the mathematically proven fact "You can't reach as far as you want even with an infinite supply of soldiers" seems impossible.
Oscar Ward he was not saying that something that was mathematically impossible was impossible. He was saying that it seems impossible that is is impossible, meaning it seems possible.
The main difficulty I ran into using the game in the link, is that as you progress, you slowly create a void behind your leading soldier. That void prevents other soldiers from progressing in that column purely because they can't reach it.
Yeah this is what I discovered to get one to the 5th row you need one in the 4th with one in the 3rd also but once you get one in the 4th row the remaining tiles are 5+ rows away.
@@dukeofshadows5211ok, so the way to avoid the void is to have it be on one side, but it's not possible to get one to the 4th row without taking from both sides of the square that makes it to the 4th row, or if it is, then getting one to the third row below it is impossible. if it is possible at all, you would need to have a formation that looks like a set of stairs essentially, and that doesn't seem to be possible with the limitations.
Kevin: Right? Me: ye... Kevin: WRONG!!!...Kinda Later Kevin: so this is the perfect algorithm right Me: of cour... Kevin: WRONG!!!! Me: ... *of course it was wrong* ...
It can be done in an infinite number of moves. But is a "not so large infinity" (because infinities come in many sizes, like there are as many natural numbers as there are rational numbers, but quantity of real numbers is infinite times larger than those even when all these sets are infinite to begin with). So you can set up an algorithm (at least in theory, because in practice it can't be realized) where the first move takes one second, the second move takes 1/2 second, the 3rd move takes 1/4 second, the 4th move takes 1/8 second and, in general, the n-th move takes 1/2^(n-1) seconds, and by 2 seconds you are done in infinite moves. It's like the famous paradox: You can never reach a place that is 2 meters away because you always need to reach the half point of what remains first. So you first move 1 meter, then 1/2 meter, then 1/4 meter and so on and you never get there. Except... if you do the first 1 meter move in 1 second, the second 1/2 meter move in 1/2 second, the 3rd 1/4 meter move in 1/4 second and so on, you've made all the required infinite moves to reach 2 meters in 2 second. And that is how you actually can get from the bed to the bathroom at all. It is called "supertasks". Note however tat you can get to the bathroom because it does actually take less time to walk 1/4 the distance than 1/2 the distance. So that is a "possible" (in the real word) supertask. But in real life you cannot make that each following checker move takes 1/2 of the time it took the previous time forever, so solving this puzzle in infinite moves and finite time is impossible in practice. And by the way, reaching row 6 is impossible even in infinite moves. Infinite moves is barely enough to take just one soldier to the 5th row. Eve 2 soldiers to the 5th row is impossible (I think).
@@adb012 Two soldiers on the fifth row is impossible. In fact, you have to use every single one of the soldiers below the line to get a soldier to the fifth row. After the infinite sequence of moves, there is only one soldier remaining.
@@Geigenzaehler or you can divide the infinity in two equal parts and make run 2 algoritms at the same tims 1 for 1 half and the other for the other half of soldiers and you have 2 soldiers on 5 lel
@@alexandrubragari1537 I know you are probably joking, but I still want to give a short analogy why that's not possible, if anybody is wondering: Imagine an infinite row of soldiers. First soldier is valued 1. Next one 1/2 then 1/4, 1/8, 1/16 ... If I add all the soldiers values, I get 2. But no soldier can be ignored. By your method we could now divide the infinite row of soldiers into two infinite parts. But guess what, the sum is still limited to 2. This is analogous to why there can only be one soldier on the fifth row.
Geigenzähler Set theory doesn't follow common sense....wait a second. Aleph-0 number of soldiers = 1 soldier on level 5. What would aleph-1 soldiers get?
*Beautiful tearjerker outro begins* "and as always tha..." *manscape lawnmower ad begins* "WHEN IT COMES TO TRIMMING YOUR BALLS ..." UA-cam, I beg you. Let us watch the outro in piece
The color of game pieces that he used makes me believe he was making a reference to Buddhist monks who spend hours, sometimes even weeks, making sand art just to sweep it all away in order to embrace the acceptance of the inevitably of the passage of time and the futility of trying to fight it.
Me: mom can we have "right" at home? Mom: we have "right" at home "right" at home: WRONG ! 1st thought, can you do it backwards, started it on a square at the 5th row 2nd thought, what if, the plane is 3 dimensional, so you have multiple column, row, AND layers; 1 checker can jump forward, backward, right, left, AND up and down
On the second thought: level 5 would be fairly simple, just do level 4 like you do on the plane, then jump enough checkers down to do level 3 in the same spot. You could then jump enough checkers up to do level 4 again to get to level 6.
"1st thought, can you do it backwards, started it on a square at the 5th row" You mean doing it in reverse? Like starting in the 5th row, jump back to the 3rd row and add a "soldier" in the 4th row? You can't make it in a finite number of moves. You will end up with soldiers "hanging" beyond the line and not being able to return.
I sort of figured it out myself before he explained it, the soldiers will eventually run out of being close to the center line and you will not be able to get to that center line and keep going back and back until your too far away to do anything.
If a smart guy like kevin promotes an app it must be good Edit: just came back from the appstore the app is not available in my country so that is nice
This video got insanely emotional all of a sudden, it was already really deep once you start feeling the frustration and the passion in Kevin's voice but the whole thing with John Conway got me real bad. I'm tearing up man, thanks for that.
Conway's game of life has long since been one of my favorite hobbies for times when I just wanted to chill and not use my brain overmuch. I didn't know he had passed. RIP Mr Conway. You didn't know me, but you changed my life in many ways. 💖
fun fact: otters have a favorite rock they take around wherever they go edit: what? this comment is from two years ago and i neither remember making it nor watching this video. it isnt even relevant. did I just click the video for the sole reason of writing this one comment? why did i do that? what edit2: ?????? I have no memory of this its been 4 years what???? anyways i looked it up and they dont do this just for fun, sea otters carry a rock around to smash open mollusks like a hammer
This was news to me... Decided to take a stroll down the comment path and was enlightened by this tidbit of knowledge. I knew about the hand holding, but not this. I will probably be obsessing over this for the next few hours. It sparked a bit of curiosity and now I wanna know what happens if they misplace their beloved rock or someone takes it, do they freak out? I'm afraid of falling down a unplanned Google rabbit hole with this question. I'm not ready for the time investment at the moment. Thanks for the future Google query.
it's refreshing to see someone honor conway for one of his more interesting and significant discoveries, rather than the culturally-widespread one that i shall not name
"This is a one-player solitaire game." Thank you for the clarification. Otherwise, I might have become confused because of all the 4-player solitaire games out there.
That looks awesome, they should make this kind of game for two players. Like you both get a side and you have to jump over the other to remove his stone.
I didn't know Conway passed away, I am so sad about this... I really liked his way to think, I tried to learn his Doomsday algorythm because I was so fascinated, and this video made me even more curious about his works.
I know this is a 4 year old video but thanks for bringing me down memory lane. I remember reading a book 15 years ago about an autistic boy. And for some reason a large part of the book was him playing this game in his mind. I have no idea what the book was called, and thinking back about it, it was so random. And still 15 year old me absolutly loved that book.
Isn't MSCHF's drops are like gambling or so...? I swear I saw something similar in the gaming communities where it later was punished by the law. Of course, you can have a science cover behind it, as a "experiment", but who'll confirm that a 100%? It's just my opinion and it's a bit weird tbh.
Its only gambliing if you make it. You buy the box for $100. if you open it, you only get whats inside the box. But, they said, that if you didnt open your box, they'd buy it back off you in 12 months. So its not really gambling. more of an experiment.
@@Johnny-Joseph but it's unscratched and you get $1,000 for returning it. Like essentially the game is that one option is gambling while the other isn't.
Instead of "2n+1" you could just say that it takes one less move than the number of pieces it takes to get to that level.. 8 pieces takes 7 moves to get to level 3.
My intuition for the golden ratio popping up, is that to get a chip to level N+1, you'll need one at N and one at N-1. So a fibonacci-like sequence pops up, and fibonacci numbers are closely connected to this ratio. Getting a chip to N creates a sort of void around it though, so getting a second chip to N-1 requires more moves than only getting one to N-1, yielding different (and much larger) values.
It isn't that weird to think about when you try to play it. The soldiers require other soldiers to be close to them in order to move. The further away they move the harder it is for them to keep moving
Playing the game, it quickly becomes apparent why you cant get to level 5; its so frustrating that each new tile you need is further back than use so you are always further and further away from the goal with tiles in front you can never reach again. Clever game.
My guy really drew us a whole board just to tell us that he cant use it. The dedication.
Was about to comment the same.
It's not about the board, it's about sending a message
Not stonks
@@catwpants beautiful
also - he wanted to show that 5th level is impossible but drew a 7-level board :D
Thanks for making a tribute to John Conway, I'm sure he would have appreciated it
@@OzoneTheLynx i didn't since i had sort by newest
I'm not sure that he would have, but I certainly do.
@Gaytony It wasn't originaly... When I looked there were quit a few comments before it.(many of which I suspect were from bots).
R.I.P. John Conway
It’s even better, because Conway hated being known only for Conway’s game of life, so discussing something he did that is lesser known is probably what he would have wanted.
Right?
Wrong!
:(
Right!!
@@qwertyqwerty9349 WRONG!!!
Or is it?
@@hugo4049 or Kinda just going with the flow
@@gamingworld8355 Just forgot OR.
I actually managed to win this game, I used a strategy called “cheating whenever I’m at a disadvantage”
XD
Yes, we can solve this if we bend the rules a little bit. Specifically the rules that say you have to jump other pieces. Or that you can't just put any piece on Row 5 from wherever.
did you use wemod?
lol nice
Good job 👏
"The game you cant win"
Me: pretty much every game i've ever played.
Lol
Lol
Lol
Lol
Lol
Kevin: "You can solve it if you bend time"
Also Kevin: "Using 27-digit-dimensional space"
Still Kevin: "He called it the Monster"
*boldy explains nothing to audience*
More Kevin: "And as always, Thanks for watching!"
I am literally confusion
The "you can solve it if you bend time" thing is a bit complex but very well explained in the paper in the desc tartarus.org/gareth/maths/stuff/solarmy.pdf
@@tyzonemusic what I find interesting is that the solution literally uses all of the infinite soldiers to reach level 5.
@@vincentvanzwietenOFFICIAL Yep! In the paper they mention a general version of the problem for N-dimensional checker boards, and have similar results. For a 3D checker board, you'd be able to reach a score of 7 with finite moves, and 8 with infinite moves (once again using every soldier).
@@tyzonemusic transfinite numbers?
This is the first I heard about Conway's death. Rest in peace, my friend. You've done so much for us.
Well thats part of the game .. The game of life (Insert laugh track here)
maybe he can see the beautiful additional dimensions now
R.I.P.
Rest In Peace
My friend Conway...
Conway's Game of Life and Death
Tbh I didn’t even know he was still alive (in 2019) until now...
every actual time i watch a vsauce2 video:
kevin: yes
me: yes?
kevin: no
me: no?
kevin: WRONG
Me: brain explodes
Second
@@cjfdnqkn4374 same
Rest In Peace, John Conway. The man that gave us life.
Uhh... I mean, he was a great man, but didn't give us "life"
Unless he's your father - in which case - I'm sorry for your loss.
EDIT: Yes, I get it now! Apologies for the dumb comment! ;)
@@rogen8094 i mean technically he did cuz he made the game of life
@@no-ls7uj Fair point!
@@no-ls7uj yeha
@@no-ls7uj i mean yeah
Every time I hear about Conway the guy sounds cooler, his game of life is still one of my favorite things
Game of life or?
I'm all sad now..I remember when I was super fascinated with Conway's game of life in middle school, and I remember when my 8th grade teacher told me she had actually met Conway in person and they were friends..and I was so amazed and wished I could meet him some day..what a weird feeling it is to know that he was just human, vulnerable to corona like the rest of us. May his beautiful lessons live forever in the mathematical community, and may his games continue to appeal to the interests of people of all ages, from cs students programming the game of life at school, to nerds watching Vsauce and Numberphile. Thanks for watching? More like thanks for making this video Kevin.
Wait he died from corona?
@@duk8227 10:06
@@kabirbatra wow never knew he was an alcoholic...
this is so emotional ):
@@duk8227 how on earth did you derived that he is an alcoholic by using fact that he died of corona? are you one of the corona-deniers degenerates or something?
‘It’s like trying to invade Russia in winter’
*laughs in Mongolian*
It's like trying to invade Russia in the winter - Impossible.
Except for the Mongols!
Cue the mongoltage
Crash Course Gang
@@justinross4109 well done
I thought the exact same thing 😂😂😂
I can imagine Kevin bullying his future child with the whole "right? WRONG!" thing. Poor kid.
and one time he goes "right? yea , its right"
He already has 23 babies
@@Jayy-Paus No, he has 70.
"To get it right you would need to bend time. John Conway had imagined a group in the 196,883-dimensional space called a monster. And now, go to bed!"
brutal
2n+1 for the moves seems complicated.. if the goal is reached when the final piece hits the target level, and each move removes one piece, then you'll always make total pieces - 1 moves? as you can't have 'pieces left over' as any piece used effectively deletes itself.
Kevin: “This video is spo-“
Me: *furiously taps right side of the screen*
LOL
Ngl mischif sounds really good for trolls.
*with having it 60 seconds every two taps*
What is the right side of the screen
Oh. I got it
mschf: no!!!!
This feels a lot like Minecraft piston extenders
Tru
You can make it 24 pistons
Jing RS Lin ᴍᴄ it don’t work 😭 (the link)
@@cowch3916 remove the space
@@cowch3916 here: ua-cam.com/video/Q2YTC7-q4SA/v-deo.html
On the second half of the previous year, one of my friends came to me with the idea of implementing Conway's Game of Life as a Software Development project and we ended up implementing a very basic version (i.e. not very optimized) in Unity.
One day, I showed him a Numberphile video of Conway explaining Game of Life and he was like, "He's still alive?" and I was like, "Of course, he is."
I didn't even know he died until this video.
RIP John Horton Conway. We'll miss you.
R.I.P
We'll miss you Mr Conway...
Never will we forget, the greatest minds, now we'll see, how are the greatest minds of tomorrow...
We miss you already,
If only you succeed to making a key of immortality, before it was too late, and the virus, beat you through the fight.
RIP.
There's actually a pretty intuitive way to see why you stall out. I'm going to post this before listening to the explanation, and before morning coffee so I could (possibly) be wrong.
Movement requires spending pieces. More importantly, it requires spending *nearby* pieces. Movement higher requires spending pieces that you had to pay to move up there, meaning those pieces themselves "cost" more. The cost ends up exponential in the distance you move, at least doubling for each additional square of range, but the number of pieces in your "accessible fuel pool" increases only quadratically with increasing travellable distance, and so you starve out. If everything was conveniently in the right place, it should exactly double for every step up, but nothing is ever convenient, so it probably costs more to really actually move them.
You can obviously move at least 1 place, at cost 2 (using 2 pieces from below the line).
There's 4 fuel available within 1 distance (orthogonally, or by Manhattan distance) of your starting point, so you can move at least 2 places (at cost at 4).
There's 9 fuel within 2 distance, so you can move at least 3 places (at cost 8).
There's 16 fuel within 3 places, so you can move at least 4 places (at cost at least 16).
There's 25 fuel within 4 places... Not enough to move 5 places which costs at least 32. It gets even worse from there. 36 fuel within 5, but cost 64. 49 within 6, but cost 128. 64 fuel within 7, but cost 256. Distance 10 has 121 fuel but costs at least 2048.
In 1 dimension, fuel is sparser and you can't even move up 2 places.
In 3 dimensions, fuel is denser, and you can move father - but the cost is still exponential which eventually beats the cubic fuel availability of 3d.
In fact, any finite dimension Euclidian space will eventually run out of accessible fuel. Even if you can move a piece by more than one space in a hop, or diagonally. In a hyperbolic space, you should be able to move an unlimited distance up, because you access to fuel increases exponentially with distance.
Note: we live in a functionally Euclidian space, and it costs fuel to move things - including fuel. We live in a very complicated game of soldiers.
Time to watch.
Update: I ran through a simple thought experiment modification where you're allowed to stack as much fuel as you want on a given square, and the cost to reach a given height with ideally placed fuel is actually the Fibonacci sequence, rather than doubling! 1 piece at height 3 cost = 1 piece on height 1 + 1 piece on height 2. 1 piece at height 4 cost = 1 piece on height 3 + 1 piece on height 2. A piece at height n is height (n-1) + height (n-2), the same recurrence as the fibonacci sequence, whose successive terms (regardless of starting terms, as long as they're both positive) tend towards... The golden ratio! That's how that comes in.
This is probably all explained right in the original paper proving it impossible. Which I should probably go read.
@@WarDaft nice! thanks for the analysis and explanation.
Bruh
(That was a fantastic explanation, you have talent!)
This is actually an analogue for Tsiolkovsky's rocket equation 🤯 you have to carry your fuel
My mind has grown hyperbolically!
“The goal of this game is to get these checkers to the other side of the li-“
Me: *shoves all the checkers to the other side of the board with my arm*
instant win
I know that this is a joke, but that's called cheating.
👍
Me: removes the line
Rotates board
It's Like trying to invade russia in winter, its impossible
*_heh im just glad hitler didnt know that_*
He did and so he did it 6 months before winter but then he was too slow
@@SunflSeeds Nah, he was just really confused that Stalin didn't surrender when Hitler marched into Moscow. Though, I guess Napolean was in the same exact situation centuries ago.
@@zettour. napoleon waiting at moscow for tbe russiand to surrender
A few montha later
Brutal winter rekts napoleon
There is a theory that Stalin goaded Hitler to invade. Fighting near your own land you don't have a long supply chain.
Soviets and Mongols
Everytime i get here because the headline sounds like a bad app ad and everytime i get dragged into the abyss of math and it's true nature, and by that i dont mean bad school math. I'm talking about the pure fascinating logic behind every single formula, every single number and how simple math looks when you such cool way to bring in across.
math is truly beautiful sometimes
That's how mafia works. Download Mafia City NOW
Almost everyone (myself included) don't fully understand just how greatly the math we know have been simplified and "dumbed down" that we'd even find the fact that there's extensive proof that 1+1 = 2 ludicrous.
spam
spam
Well of course you can't beat it. You haven't handed the controller to your older brother yet.
I am the older brother, and this can be beaten by moving into hyperbolic space
The disappointed chorus kid fits this comment
Ariel Sproul nah you have to move into 12324587452 dimensional space and you need 2938737284 chips
I’m the oldest, and I’ll tell you how. Ya gotta jump twice, duck twice, dash to the left then right then left then right, draw a b and a and write start.
@@EclipsaEldrich That's cheating, dude!
“It becomes mathematically impossible which seems impossible”
No way
I think you missed the meaning of this sentence. He doesn't say that "Mathematically impossible" is almost the same as "Impossible". He says that the mathematically proven fact "You can't reach as far as you want even with an infinite supply of soldiers" seems impossible.
Christian Barnay yep what’s your point?
@@Never_Always2 his point is you missed the meaning of the sentence
Oscar Ward he was not saying that something that was mathematically impossible was impossible. He was saying that it seems impossible that is is impossible, meaning it seems possible.
The main difficulty I ran into using the game in the link, is that as you progress, you slowly create a void behind your leading soldier. That void prevents other soldiers from progressing in that column purely because they can't reach it.
Ah. The main difference between explaining something logically and mathematically.
It kind of feels like when you start running in a dream but you’re not actually going anywhere
Yeah this is what I discovered to get one to the 5th row you need one in the 4th with one in the 3rd also but once you get one in the 4th row the remaining tiles are 5+ rows away.
@@dukeofshadows5211ok, so the way to avoid the void is to have it be on one side, but it's not possible to get one to the 4th row without taking from both sides of the square that makes it to the 4th row, or if it is, then getting one to the third row below it is impossible.
if it is possible at all, you would need to have a formation that looks like a set of stairs essentially, and that doesn't seem to be possible with the limitations.
Level 1, dirt, level 2, wood, level 3, Stone, level 4, bedrock
Every Vsauce2 video:
Starts of as a simple game but ends with a life-changing quote.
One of my favourite creator.
Kevin: Right?
Me: ye...
Kevin: WRONG!!!...Kinda
Later
Kevin: so this is the perfect algorithm right
Me: of cour...
Kevin: WRONG!!!!
Me: ... *of course it was wrong* ...
Lol !
Kevin : right?
Me: *pauses*
...
Me: r... i-
Kevin: NOPE
John died? The conway himself?
😥
Kev: right?
Me:...
Kev:...
Me...
Kev:...
Me:...y
Kev:WRONG
I was looking forwards to how he would explain the 5th level by removing time... alas, maybe next... time
It can be done in an infinite number of moves. But is a "not so large infinity" (because infinities come in many sizes, like there are as many natural numbers as there are rational numbers, but quantity of real numbers is infinite times larger than those even when all these sets are infinite to begin with). So you can set up an algorithm (at least in theory, because in practice it can't be realized) where the first move takes one second, the second move takes 1/2 second, the 3rd move takes 1/4 second, the 4th move takes 1/8 second and, in general, the n-th move takes 1/2^(n-1) seconds, and by 2 seconds you are done in infinite moves. It's like the famous paradox: You can never reach a place that is 2 meters away because you always need to reach the half point of what remains first. So you first move 1 meter, then 1/2 meter, then 1/4 meter and so on and you never get there. Except... if you do the first 1 meter move in 1 second, the second 1/2 meter move in 1/2 second, the 3rd 1/4 meter move in 1/4 second and so on, you've made all the required infinite moves to reach 2 meters in 2 second. And that is how you actually can get from the bed to the bathroom at all. It is called "supertasks". Note however tat you can get to the bathroom because it does actually take less time to walk 1/4 the distance than 1/2 the distance. So that is a "possible" (in the real word) supertask. But in real life you cannot make that each following checker move takes 1/2 of the time it took the previous time forever, so solving this puzzle in infinite moves and finite time is impossible in practice. And by the way, reaching row 6 is impossible even in infinite moves. Infinite moves is barely enough to take just one soldier to the 5th row. Eve 2 soldiers to the 5th row is impossible (I think).
@@adb012 Two soldiers on the fifth row is impossible.
In fact, you have to use every single one of the soldiers below the line to get a soldier to the fifth row.
After the infinite sequence of moves, there is only one soldier remaining.
@@Geigenzaehler or you can divide the infinity in two equal parts and make run 2 algoritms at the same tims 1 for 1 half and the other for the other half of soldiers and you have 2 soldiers on 5 lel
@@alexandrubragari1537 I know you are probably joking, but I still want to give a short analogy why that's not possible, if anybody is wondering:
Imagine an infinite row of soldiers.
First soldier is valued 1. Next one 1/2 then 1/4, 1/8, 1/16 ...
If I add all the soldiers values, I get 2.
But no soldier can be ignored.
By your method we could now divide the infinite row of soldiers into two infinite parts. But guess what, the sum is still limited to 2.
This is analogous to why there can only be one soldier on the fifth row.
Geigenzähler Set theory doesn't follow common sense....wait a second.
Aleph-0 number of soldiers = 1 soldier on level 5.
What would aleph-1 soldiers get?
6:00 SAYONARA, PUNY CHECKER BOARD!!!
Rip, john conway, may he always keep inspiring and fascinating people with the games math and legend he left behind.
*Beautiful tearjerker outro begins*
"and as always tha..."
*manscape lawnmower ad begins*
"WHEN IT COMES TO TRIMMING YOUR BALLS ..."
UA-cam, I beg you. Let us watch the outro in piece
oh my god HA
69 likes...nice
Absolutely loving that 12:34 video length!
Because 5 is impossible
WRONG!
it's 11:16 though
That man deserves this tribute and more rip JH Conway
Kevin: mentions the golden ratio
Me, an idiot that read JoJo: I’ve seen this one!
exactly what i thought of
That ending almost got me crying. May you rest in peace John Horton Conway.
Is there ever going to be an actual POSSIBLE game?
no
*NEVER!!*
VSAUCE! Today I’m going to play Solitaire.
Brussels Sprouts
@Tangent of circle. IMPOSSIBLE
The dedication in this dude he drew a board just so he can’t use it
And at 12:17 we get a glimpse of how LONG it really took to fill it up too... @-)
The color of game pieces that he used makes me believe he was making a reference to Buddhist monks who spend hours, sometimes even weeks, making sand art just to sweep it all away in order to embrace the acceptance of the inevitably of the passage of time and the futility of trying to fight it.
Me: mom can we have "right" at home?
Mom: we have "right" at home
"right" at home: WRONG !
1st thought, can you do it backwards, started it on a square at the 5th row
2nd thought, what if, the plane is 3 dimensional, so you have multiple column, row, AND layers; 1 checker can jump forward, backward, right, left, AND up and down
On the second thought: level 5 would be fairly simple, just do level 4 like you do on the plane, then jump enough checkers down to do level 3 in the same spot. You could then jump enough checkers up to do level 4 again to get to level 6.
Right? WRONG!
"1st thought, can you do it backwards, started it on a square at the 5th row"
You mean doing it in reverse? Like starting in the 5th row, jump back to the 3rd row and add a "soldier" in the 4th row? You can't make it in a finite number of moves. You will end up with soldiers "hanging" beyond the line and not being able to return.
that's a really smart way to find a solution
Actually if its over 2d, over 3d etc like 60d, its infinitely possible
You can explain it all day, but I still won’t believe level 5 is impossible until I do it myself. 😂
Didn’t expect to see you here Wunba, love your videos
Well, that's understandable, as he didn't actually explain anything
Why are you here?
I sort of figured it out myself before he explained it, the soldiers will eventually run out of being close to the center line and you will not be able to get to that center line and keep going back and back until your too far away to do anything.
What are you doing here mister wunba
"The game you can't win"
You're telling me there's games I can win?
If a smart guy like kevin promotes an app it must be good
Edit: just came back from the appstore the app is not available in my country so that is nice
Same here :/
Gotte find an IPA or create a new account
@@demerion sad
Same here..
They must have paid him a tonne to drop his credibility like this
@@Johnny-Joseph The app looks like it fits his style though.
This video got insanely emotional all of a sudden, it was already really deep once you start feeling the frustration and the passion in Kevin's voice but the whole thing with John Conway got me real bad. I'm tearing up man, thanks for that.
wow, that ending really got me. Conway's death didn't really hit me until now. Thanks for helping carry on his legacy, Kevin
"It's like invading Russia in winter"
Finland: Not impossible...
Mongolia: Am I a joke to you?
Germany: cries while doing so
Poor Napoleon
I don't understand any of this but I just listen to this man spit facts at my face
Same
WHAT???? he died??? I didn't even know and he was one of my favorite mathmaticians..... Really sad now :(
hey, it was still a good video tho XD
I didnt even know this guy before this video and now he is dead! Oh man! What is wrong to the world?need to cancel death for at least couple months
@@Mitiya__ua I mean the main reason I knew about him was because of “Conway's Game of Life“ which he created.
@@AbiGail-ok7fc Who
Conway would be proud seeing something other than his Game of Life being talked about.
i'd like to get that "collar that swears when your dog barks
"
I have a really strong feeling that even though it's implied that the feet pic sending AI is worthless, a lot of people would think otherwise.
For the third it is (2x2)+4=8, and for the fourth it is (2+4)x2+8=20
Conway's game of life has long since been one of my favorite hobbies for times when I just wanted to chill and not use my brain overmuch. I didn't know he had passed. RIP Mr Conway. You didn't know me, but you changed my life in many ways. 💖
Even if it doesn’t make sense, you have to admit that it’s kind of fun to do the impossible. Walt Disney said it best
Yup
"The answer is beauty...and taxis."
Sounds like me answering a word problem about trains on my math test
:actually it us possible
viewers: oh, nice. Now to hear about how it's possible
:you need infinite everything and time manipulation
viewers: darn
"It’s like trying to invade Russia in winter"
Actually literally everybody invaded in summer, but fought until winter.
Забавно :D
Да
:D
Conway is my inspiration, i love the way he turns extremely complicated math concepts into interactive experiences.
fun fact: otters have a favorite rock they take around wherever they go
edit: what? this comment is from two years ago and i neither remember making it nor watching this video. it isnt even relevant. did I just click the video for the sole reason of writing this one comment? why did i do that? what
edit2: ?????? I have no memory of this its been 4 years what????
anyways i looked it up and they dont do this just for fun, sea otters carry a rock around to smash open mollusks like a hammer
I knew that already but being reminded of it made me smile so here is a like from me
@@БранимирНиколов-ж7ф Thanks
And they hold hands in their sleep so they won't drift away from eachother
I learn this from a manga
This was news to me... Decided to take a stroll down the comment path and was enlightened by this tidbit of knowledge. I knew about the hand holding, but not this. I will probably be obsessing over this for the next few hours. It sparked a bit of curiosity and now I wanna know what happens if they misplace their beloved rock or someone takes it, do they freak out? I'm afraid of falling down a unplanned Google rabbit hole with this question. I'm not ready for the time investment at the moment. Thanks for the future Google query.
This is the first news I've seen on John's passing. Thank you for the kind words.
Me: Reads title
Also me:
Isn't that 𝘦𝘷𝘦𝘳𝘺 Vsauce2 game?
Got an essay to write about this for my calculus class thank you!!
4:20
I think about "number of soldier"--1
yea its just 2^n - 1
When you make a custom board only to realize that the game is impossible...
When you know kevin so well u can right wrong him before he does
Right?
WRONG
Anyone else just recently been getting recommended videos mere minutes after they're posted
the algorithm is tired of recommending the old catalog of at least 3 year old videos
great video! and really loved the tribute to John Conway, R.I.P. truly a gem in this world!
Bro i don’t usually tear up from stuff but for some reason I just started to get teary when he was talking about how Conway died.
it's refreshing to see someone honor conway for one of his more interesting and significant discoveries, rather than the culturally-widespread one that i shall not name
In case anyone doesn't know what yuval is referring to, it's the game of life
Conway's Game of Life.
You are not allowed to not name it.
I am confusion
@@wariolandgoldpiramid y tho?
@@unhingedfrogspawn6715 y tho
Kevin lookin extra fresh in this vid 👌 👌
This comment is seven words long, right?
WRONG
*collective gasp*
*gasp*
TRUE ASF
This is somehow pretty deep
There are only five replies, right?
Kevin: *says golden ratio*
People who know part 7 of JoJo: Ah, yes, infinity
Arigato Gyro
"This is a one-player solitaire game."
Thank you for the clarification. Otherwise, I might have become confused because of all the 4-player solitaire games out there.
My guy really did get emotional at the end.
I hope Covid-19 goes away asap
I had to drop out of univeristy because its online
That looks awesome, they should make this kind of game for two players. Like you both get a side and you have to jump over the other to remove his stone.
This is a joke, right? Ive not played checkers in so long I'm not sure if I remember the rules correctly
I didn't know Conway passed away, I am so sad about this... I really liked his way to think, I tried to learn his Doomsday algorythm because I was so fascinated, and this video made me even more curious about his works.
"think of them as soldiers, trying to penetrate as deep as possible" well at this point I think I have won without playing
"One must imagine Sisyphus happy."
“Right?”
Me:Yeah!
“ *WRONG* !!”
Kevin: xsjsjnrbks
Me: yes abselu...
Kelvin: wrong
Me: yes it's obvi...
Kevin: it's actually right kinda
Me: 😑
Not funny didn't laugh
80 likes did lauf
"Is like trying to invade Russia in winter"
BLITZKRIEG!
"It's like trying to invade Russia, in winter, of 1025, BC, with horse chariots, and you're the stables boy."
@@bcn1gh7h4wk laughs in Mongol
Cause that worked out.
i felt like a hero when i reached the 4th tile until i realized that 5 was the impossible one
I know this is a 4 year old video but thanks for bringing me down memory lane. I remember reading a book 15 years ago about an autistic boy. And for some reason a large part of the book was him playing this game in his mind. I have no idea what the book was called, and thinking back about it, it was so random. And still 15 year old me absolutly loved that book.
Thanks for your contribution to remembering the amazing work of john conway, what an incredible person!
Isn't MSCHF's drops are like gambling or so...? I swear I saw something similar in the gaming communities where it later was punished by the law. Of course, you can have a science cover behind it, as a "experiment", but who'll confirm that a 100%? It's just my opinion and it's a bit weird tbh.
Its only gambliing if you make it. You buy the box for $100. if you open it, you only get whats inside the box. But, they said, that if you didnt open your box, they'd buy it back off you in 12 months.
So its not really gambling. more of an experiment.
@@Jacob_Welsh If you were allowed to return a scratchie after you bought it, it would still be gambling :P
@@Johnny-Joseph but it's unscratched and you get $1,000 for returning it. Like essentially the game is that one option is gambling while the other isn't.
7:36 "impossible, it's like invade Russia in the winter".
[Laughs in finish]
I don't think Finland has ever invaded or even tried to invade Russia
@@aarneheikinheimo1256 have you ever heard of WWII?
Instead of "2n+1" you could just say that it takes one less move than the number of pieces it takes to get to that level.. 8 pieces takes 7 moves to get to level 3.
I could tell almost immediately this was a John Conway game. Y'all should read Winning Ways and see how deep the rabbit hole really goes.
Bending time to get a chip 1 space foward.
0:50 it doesn't if you HAVE to use Times New Roman
3:52 trust me, and now you can't un hear it
The biggest voice crack ever
6:56 thing that makes me think that its less sense is that we can put a 3 behind a 4
My intuition for the golden ratio popping up, is that to get a chip to level N+1, you'll need one at N and one at N-1.
So a fibonacci-like sequence pops up, and fibonacci numbers are closely connected to this ratio.
Getting a chip to N creates a sort of void around it though, so getting a second chip to N-1 requires more moves than only getting one to N-1, yielding different (and much larger) values.
“It’s like trying to invade Russia in winter, it’s impossible”
-Vsauce 2
Lol Napoléon Bonaparte and Hitler agreed 😳😀😂
@@epicadus8722 the huns and mongols dont
well the atom bomb doesn't care much for temperature
@@dirkbastiaandejong997 Well, they invaded Russia in summer...
@@epicadus8722 FYI Both of those guys invaded Russia in June
It isn't that weird to think about when you try to play it. The soldiers require other soldiers to be close to them in order to move. The further away they move the harder it is for them to keep moving
Random fact:
In Australia, an episode of Peppa Pig was banned because it taught children not to be scared of spiders.
*Now that's a random fact if I've ever seen one*
nice
Best random fact I've ever stumbled upon!
What a stupid thing to put in a kid show.
I want it
Why do I like that whiteboard desk so much
Playing the game, it quickly becomes apparent why you cant get to level 5; its so frustrating that each new tile you need is further back than use so you are always further and further away from the goal with tiles in front you can never reach again. Clever game.
Me: How many comments are there?
UA-cam : 5
Me: Can I see 'em?
UA-cam:No
😐
😐
Yes
@@pestifermundi2591 Yes?
@@kkTeaz* laughter*
noooooooooooooooooooooooooooooooooooooooo
@@trunestor why you little...
I saw the wrong coming at 5:50
0:18 Two of the checker pieces swapped for some reason.
Sometimes, I watch this video just to see the tribute that Jake made to Conway. It was very touching.
One of the best videos I've seen, Kevin: we send you a big hug from Uruguay