algorithms are far away from proving (not just approximating) anything of interest. even proof checkers (algorithms that check human-made supposed proofs) are notoriously difficult to implement and operate.
So, it seems that if I find myself lost in a forest, I should bring a telephone shaped inflatable sofa, and ride it downriver to escape. And I should bring a sudoku to have something to do while riding downriver.
Haha, that's funny. 😄 I'm terrible at math and am directionally impaired so doing the square problem wouldn't do me any good and I would get more lost than if I stood still.
Bring a deck of cards whenever you are hiking in the woods and may get lost. If you do get lost just start playing a game of solitaire. In no time someone will come along to tell you to move your black5 onto your red6 and you can just ask them which way to go.
I am literally a mathematician by education, and I also find it 'confusing and difficult.' The difference is, we find the process of figuring it out rewarding and beautiful. But not everyone does and that's cool.
I have a thory, i might sound a lil stupid here but hear me out. So there are numbers and decimal numbers, and between each number there are infiite amounts of decimal numbers, for example between 1 and 0 there are infinite decimal numbers for example if we go down starting from 0.99 to zero, it goes forever, like (0.99, 0.98 0.97...etc) it never ends. So if there are infinite decimal numbers between two normal numbers, does that mean that there is also a point where we reach the end of infinite and enter whole another side of maths which is big enough for our brain to think about it? This debunks absolute infinite but since there are NOT infinite decimal numbers between two normal numbers, then there must be a point where we reach the barrier of maths and enter a another side of math. This theory also makes sense for dividing a number by zero, the number will be soo big even infinite wouldn't make sense as the answer. Let me know if im wrong.
@@earthtoibrahim between any two numbers of any kind there's infinitely many rational numbers (fractions). But this is a "countable" infinity. There is also infinitely many irrational numbers (non repeating infinite decimals) between any two numbers of any kind but this is an "uncountable" infinity. Uncountable infinities are really big. Look up countable vs uncountable infinities. You might find this interesting.
@@flopsnail4750 Exactly, like that's why we also call it a near miss when airplanes almost crash into each other. "Ah, but you tried, that's what's important!" 😆
Has Joseph Gerver as a professor a few years ago. Then, I told him his name was "big" on the internet for the sofa problem. Either he was humble or had no idea...
(young) mathematician here - my personal favorite is goldbach's conjecture! goldbach proposed that every even number is the sum of two prime numbers. we've since tested numbers with 40 zeroes in them, and it's always held true, but there is no proof due to the fact that the conjecture relates two concepts based in multiplication (even numbers, prime numbers) using addition. crazy!
Until they do. The math involved in helping Einstein solve relativity had been around for a while, and was, until relativity, a completely esoteric exercise in mathematics, with no practical applications whatsoever.
The colorful framing is there just for ease of explanation. The problems themselves are optimization ones, which are generally some of the most useful ones to solve, if solved generally.
Kinda depends =) A good problem can't be too easy, nor too hard. Most of them don't survive the ages. This is why Martin Gardner is so impressive. Speaking for making calc problems, it's very difficult to make something that isn't an obvious computation, but also is intelligibly explained.
It'd be interesting to have a video that goes over some weird math problems that have been solved. Problems that seem pointless at the time but turned out to be very important.
I feel like I'm definitely qualified to write computer programs to brute-force solutions (like how the largest primes are found), but I am woefully unable to think of even basic proofs for why a solution is the best one or not. That feels so much harder, almost like an entirely different skill.
I just adopted the attitude at some point that the solution you have is the best solution until someone shows you a better one, as otherwise you will never actually start.
Yeah I mean, one is just writing programs (being a programmer) the other one falls into the category of computer science and or mathematics No necessary connection between those skills You can be a mathematician/computer scientist and never program anything And you can be a programmer and never be a computer scientist or mathematician But I feel like most people who study computer science end up somewhere in the middle (most land more towards programmer because job market values it more)
Remember that the most important point of mathematics is to keep mathematicians busy. If you were to let them out into the real world they’ll cause more harm than good.
You can tell that I'm not a mathematician because: 1. My immediate reaction was, "why not get a beanbag-type sofa, or make sure you can disassemble and reassemble it before purchasing?" 2. As a mother I know that baby worm will find a way to wiggle out of anything you try to cover him with (and in any case we all should be using sleep sacks not blankets) 3. Staying put is almost always your safest bet, don't try to move. On top of that, if you're that disoriented, you may have suffered a concussion or something, or be terribly dehydrated. Stay put! It turns out I'm a practical mom, and not a math person... but I still love math
Bounds are not limits. There are bounds that are not limits and limits that are not bounds. Mathematical terminology is like that sometimes. Not having a defined terminology ends up being even worse, trust me.
And the nail in the coffin is maths unpredictability incompleteness and inconsistency if made complete...ish. The proofs that math isnt complete or consistent were given by kurt gödel.
5:50, this really makes me picture a team of mathematicians lost in the woods, and instead of just walking and getting out, they’ve all sat down and gotten stuck trying to figure out this problem 😂
When mathematicians eventually give up on these unsolvable problems, I'll bet they think about all the time they spent pondering about *_x_* and wonder *_y_* ?
If old house had *old* sofa, don't burn the foam/stuffing in it, could get nasty even if outside "Hey kids! Be careful burning your household furniture! It could release toxic fumes, so always check with your parents!" 😂
I think the focus is on problems for which it is kind of surprising that we don't know the answer to. While for the Collatz problem, if asked how to attempt a proof of it, almost every mathematician out there would be more or less dumbfounded.
@@fi4re I think there is something special about a problem you can explain to the average 4th grader while at the same time being described by Erdös with "Mathematics may not be ready for such problems.".
I still don't understand what the problem is and why a 6-6.5% solution works. How can you get below the the circle? What if the worm spins in its sleep? If it's not allowed to spin, then why not a blanket exactly the size of the worm?
@@zunaidparker You have to prepare the blanket upfront, not knowing in how the worm is shaped and the blanket is sort of "stiff", so couldn't bend it. You can get below the circle by an ellipse to example. If the worm is stretched out you can use the long side of the banket, if it is curled up, it can't be that wide, since it is curled up, so the middle part doesn't have to be that wide.
@@zunaidparker In the problem it's actually a curve, not a worm. Curves are lines, but the they are still lines, therefore having only one dimension. The Blanket that was the size of the worm would also be one dimensional, but the problem asks for the smallest 'area'. There are probably other restrictions on the types of 'blanket' that can be considered. These problems are usually all about the restrictions that are put on the requirements.
@@malavoy1 Spiral is one "shape" of the worm, but you have to consider *all* the possible "shapes". You cannot reshape the worm, only turn and / or flip it. Thus the blanket cannot be one dimensional, that wouldn't cover the spiral only straight line.
loved math in grade school. lost the lust in high-school. never made it to college because some people don't want to teach. Home work is stupid if I got to teach myself.
I found this cool way of making magic squares which requires a sequence of 9 numbers such that they have common difference and I don't see how that is possible with square numbers of whole numbers. So, I concluded it was impossible to make magic square of squares. If there is any other way to make the magic squares let me know. According to the method, for any arithmetic sequence, Example: 1, 2, 3, 4, 5, 6, 7, 8, 9 These numbers can be written in magic square as: [8th 1st. 6th] [3rd. 5th. 7th] [4th. 9th. 2nd]
That makes me want to parody/recreate the "A Current Affair" logo graphics & iconic sound design, probably with some vaporwave aesthetics thrown in for good measure, haha.
The real question with mosers worm is what kind of monster would make such a tiny blanket for a baby worm? I think baby worms deserve better. Maybe give them a pillow too
People usually look at decimal representations to investigate properties of the real numbers. In order to do that you almost always need a 1-1 correspondence between the reals and decimal representations. In order to have a 1-1 correspondence you need to exclude infinite 9's at the ends of numbers. While what you said is technically valid, if your looking to prove anything with these decimal representations then you probably need to define decimal representations with infinite 9's at the end as not existing. Or in other words .9999... does not equal 1, most of the time In short .9...=1 ... sometimes lol
They arent. They are when phrased the way they are in this video but many of these types of questions can have important functions in computer science.
Another one I like is the Goormaghtigh conjecture: There are only two positive integers that are repunits with at least three digits in two different bases. I'm writing a program that uses both of them: it uses polynomials mod 31 as an error-correcting code, and it generates an 8191-bit test pattern.
How much into an unfalsifiable concept does inquiry have to delve before it’s determined such? and when is such considered an impractical inquiry? Are there practical unfalsifiables to ponder?
@@maloxi1472 not coming from a math, but plenty of these examples, might qualify. For instance, any irrational number number is an unfalsifiable concept, because we cannot physically observe or demonstrate such, or anything rendered as infinite. So perhaps, where is the practical end of notation of an unrepresentable number or investigating improbability? Where does practical math end, and theoretical math begin? Perhaps a bit too deep, but since we were discussing things that have not been proven. I'm not trolling, just nerding out.
We don't know and can't know, and that's honestly what excites me so much about math (and breaks my heart with regards to people who don't share in that sentiment). Your example of imaginary numbers is a perfect one - they're incredibly useful in the real world as they distinguish between different axis that meet certain properties, like the axis of 2D space or even abstract dimensions in non-spatial data sets. We have absolutely no way of knowing whether a crackpot idea will lead to a massive breakthrough or nothing at all, and that's what's exciting - there's a theoretically infinite toolbox out there that's all interconnected in surprising and nonlinear yet still rigorously structured ways and we just get to keep digging and finding ways to solve real-world problems we didn't even know we had
For the couch problem, tip the sofa on to it’s end, turn the corner then lower the couch or original position. Tada! Problem solved and no math involved!
What’s the baby worm’s width? All we need is to make it a tube with a hemispheric cap at each end. Then just take the flattened mesh of it, like the pattern used in sewing it.
If you keep your palms let's say one meter apart from one another and you half that distance every time, mathematically your palms should never touch. But they do.
This is why it's loved. People who "hate math" typically hate a caricature of it, where creativity is replaced by blind calculations and logic by arguments from authority; you know, like what happens in most mediocre schools...
127^2 46^2 58^2 2^2 113^2 94^2 74^2 82^2 97^2 this is the closest i found the sum of rows and columns and one of the diagonals is comes out to be 21609 but other diagonal value (sum) is coming more than 21609
I believed it was solved identical to your 3x3 while working around counterclockwise, found your comment then realized top left to bottom right go over 21609. Is it a prank?
you're allowed to move the blanket around to cover the worm. as a very simple example: if the worm was always either a straight line, or curled up into a circle we could cover it with something that looks like Ø. placing the line over the worm when it's straight, and the circle when it's curled up. this would have a smaller area than a full disk (since we remove most of the interior of the disk. for reference: the best guesses are slightly modified "sectors" of unit radius - shapes that look a bit like a pizza slice where the length from the tip to the middle of the crust is 1.
Level 1 Math: Johnny has 120 oranges
Level 10 Math: worm blankets
Imagine studying a math doctorate just so some guy asks you the size of a blanket for his damn worm.
I told my worm to tough it out.
Inb4 some AI solves the problem and thousands of mathematicians will be disappointed that some algorithm took their job.
algorithms are far away from proving (not just approximating) anything of interest. even proof checkers (algorithms that check human-made supposed proofs) are notoriously difficult to implement and operate.
Imagine studying a math doctorate only to be replaced by a free website that can do more than you
how else would you get a math doctorate?
This video gave me a feeling that SciShow Math could be a fun channel
Look up Numberphile
@@alext7074 i was going to say, have you heard the story of Darth Numberphile, the interesting?
@@alext7074 They have a very different style.
Numberphile is essentially an interview, while SciShow is reading a script
There's also Stand-up Maths
oh man I really hope that becomes a thing
6:45 Most notably, Matt Parker's Parker Square 😂
Came to the comments looking for this reference, wasn't disappointed
Available now as a shirt 😂😂
He is a master in the search for that elusive square,
I have the shirt
@@sunshine_tidings6983 Same!
Recreational math. NOT to be confused with recreational meth...
The 2 go together so often tho...
Though it's as addicting and sometimes means your old friends stop coming over.
😂😂
Lmaoo
Both have brain melting properties
So, it seems that if I find myself lost in a forest, I should bring a telephone shaped inflatable sofa, and ride it downriver to escape. And I should bring a sudoku to have something to do while riding downriver.
Haha, that's funny. 😄 I'm terrible at math and am directionally impaired so doing the square problem wouldn't do me any good and I would get more lost than if I stood still.
Bring a deck of cards whenever you are hiking in the woods and may get lost.
If you do get lost just start playing a game of solitaire.
In no time someone will come along to tell you to move your black5 onto your red6 and you can just ask them which way to go.
Also you needs to bring worms that can give you a baby and the expected amount of yarn.
A good sequel to this video would be past math mysteries that eventually got solved and how.
Ooh yes, would definitely watch this!!
The sofa problem got solved recently
For the largest sofa all you need to do is "pivot, pivot, pivot.. pivot!"
And cut it in half
PIVOT
That's funny and true
And you missed the point.. Watch again. The problem is about NOT standing the sofa up
@@janpapai9205 it was a joke, guessing you haven't moved many couch's.
The magic square of squares just makes me think of the Parker Square, honestly.
Same here
Classic Parker Square.
The Parker Square was one of the near misses he mentioned, the one where there were some repeats.
Yeah, it feels rude to have not mentioned the Parker Square to be honest. :P
Parker Square of Parker Squares
I am literally a mathematician by education, and I also find it 'confusing and difficult.' The difference is, we find the process of figuring it out rewarding and beautiful. But not everyone does and that's cool.
Figuring it out is fun!
I have a thory, i might sound a lil stupid here but hear me out. So there are numbers and decimal numbers, and between each number there are infiite amounts of decimal numbers, for example between 1 and 0 there are infinite decimal numbers for example if we go down starting from 0.99 to zero, it goes forever, like (0.99, 0.98 0.97...etc) it never ends. So if there are infinite decimal numbers between two normal numbers, does that mean that there is also a point where we reach the end of infinite and enter whole another side of maths which is big enough for our brain to think about it? This debunks absolute infinite but since there are NOT infinite decimal numbers between two normal numbers, then there must be a point where we reach the barrier of maths and enter a another side of math. This theory also makes sense for dividing a number by zero, the number will be soo big even infinite wouldn't make sense as the answer. Let me know if im wrong.
@@earthtoibrahim between any two numbers of any kind there's infinitely many rational numbers (fractions). But this is a "countable" infinity. There is also infinitely many irrational numbers (non repeating infinite decimals) between any two numbers of any kind but this is an "uncountable" infinity.
Uncountable infinities are really big. Look up countable vs uncountable infinities. You might find this interesting.
Me telling myself to go to sleep.
* Phone buzzes *
"Sci show 4 unsolwed mystery of math"
Dang it sci show knows the nerd in me.
r/iamverysmart
@@RubALamp r/ihavereddit
Reddit moment
@@andersbuchjeppesen5493 r/ihavereddit
@@RubALamp not the brightest bulb, are you
Mathematicans: what is the smallest blanket a worm could do
Me, an intellectal: Worms cannot make blankets
Silkworms can ;)
@@massimookissed1023 +
@@massimookissed1023 they can't weeve a blanket so no they can't
@@Brianpeckin , silkworms aren't even worms either, so there's that too.
*Intellectual
6:44 "Near misses" are known as Parker Squares.
But they gave it a go, and that's what really matters.
@@flopsnail4750 Exactly, like that's why we also call it a near miss when airplanes almost crash into each other. "Ah, but you tried, that's what's important!" 😆
@@becauseimafan Carlin said that a near-miss is actually a crash.
“Wow, those two planes crashed into each other!”
“I know, it was a near miss”
My 10yr old just said “that NASA logo is the most colorful thing Michael’s ever worn!”…🤣
wow, the kids not wrong XD
Ok Karen. Curb your kid watching science videos. You must be very proud, that you HAVE to share how young your kid is watching these kind of videos
@Subi I concur
@Subi lmao he really does doesn’t he
@Subi sure, I'll take the title. As long as I'm not the one writing these type of comments...
The sofa is only as large as a hernia will allow.
Has Joseph Gerver as a professor a few years ago. Then, I told him his name was "big" on the internet for the sofa problem. Either he was humble or had no idea...
(young) mathematician here - my personal favorite is goldbach's conjecture! goldbach proposed that every even number is the sum of two prime numbers. we've since tested numbers with 40 zeroes in them, and it's always held true, but there is no proof due to the fact that the conjecture relates two concepts based in multiplication (even numbers, prime numbers) using addition. crazy!
Mathematicians: Stuck on a problem nobody actually has.
Lost in the woods: the roomba problem! Some child picked you up, and you need to find the nearest wall asap so you can follow the edge home. How do?
* cough * buying 64 watermelons * cough *
Until they do.
The math involved in helping Einstein solve relativity had been around for a while, and was, until relativity, a completely esoteric exercise in mathematics, with no practical applications whatsoever.
Those poor worms though
The colorful framing is there just for ease of explanation. The problems themselves are optimization ones, which are generally some of the most useful ones to solve, if solved generally.
In math is a lot easier to come with problems than to come with solutions
Kinda depends =) A good problem can't be too easy, nor too hard. Most of them don't survive the ages. This is why Martin Gardner is so impressive. Speaking for making calc problems, it's very difficult to make something that isn't an obvious computation, but also is intelligibly explained.
It'd be interesting to have a video that goes over some weird math problems that have been solved. Problems that seem pointless at the time but turned out to be very important.
I feel like I'm definitely qualified to write computer programs to brute-force solutions (like how the largest primes are found), but I am woefully unable to think of even basic proofs for why a solution is the best one or not. That feels so much harder, almost like an entirely different skill.
Ya, that's why it's hard.
I just adopted the attitude at some point that the solution you have is the best solution until someone shows you a better one, as otherwise you will never actually start.
Technically one can brute force proofs! Look up automatic theorem proving, tho perhaps be prepared to read some set theory first =)
Yeah I mean, one is just writing programs (being a programmer) the other one falls into the category of computer science and or mathematics
No necessary connection between those skills
You can be a mathematician/computer scientist and never program anything
And you can be a programmer and never be a computer scientist or mathematician
But I feel like most people who study computer science end up somewhere in the middle (most land more towards programmer because job market values it more)
@@ArtArtisian Why set theory? iirc theorem assistant programs are based in type theory?
Yet I still don’t know how small I have to get so my cat can fit on my bed when sleeping.
No one can get that small. Dogs are worse about being bed hogs.
THIS. My own solution involved getting 3D with things... he sleeps under the blanket fort created by my knees
Key takeaway: Mathematicians like to imagine problems for themselves, and others 😕
Key takeaway: researchers have too much time on their hands
@@slcpunk2740 What does that even mean ?
Time = numbers
@ dumb@ss askin what that means
If you think of the worm/forest problem as the shortest path through a field datas, it will start making sense why its so important.
Dude, just make the baby worm a tube sock instead of a blanket. There, problem solved. Now where's my Nobel Peace prize?
It doesn't matter what the size of the couch is. If you don't yell "PIVOT!!" it won't turn the corner
Underrated comment
Scientist 1: I've got the biggest possible sofa.
Scientist 2 : gets a bigger hallway.
That's the engineers answer lol
Remember that the most important point of mathematics is to keep mathematicians busy. If you were to let them out into the real world they’ll cause more harm than good.
They do more good to the real world then almost all the other people watching this video,including you and me.
@@anuragmukherjee6694 do we? Thanks for letting me know
@@additionaddict5524 you mean youre a mathematician?
You can tell that I'm not a mathematician because:
1. My immediate reaction was, "why not get a beanbag-type sofa, or make sure you can disassemble and reassemble it before purchasing?"
2. As a mother I know that baby worm will find a way to wiggle out of anything you try to cover him with (and in any case we all should be using sleep sacks not blankets)
3. Staying put is almost always your safest bet, don't try to move. On top of that, if you're that disoriented, you may have suffered a concussion or something, or be terribly dehydrated. Stay put!
It turns out I'm a practical mom, and not a math person... but I still love math
Calling a bound a limit probably just irreversibly confused half the audience.
Calculus. It's a beautiful thing!
Most people had calc
Bounds are not limits. There are bounds that are not limits and limits that are not bounds. Mathematical terminology is like that sometimes. Not having a defined terminology ends up being even worse, trust me.
I need to see the shape of the worm blanket.
Let me be clear, as a mathematician, math is in fact confusing and difficult
100%
Although often still fun! 😅
As a mathematician , you will become the best player in my game
And the nail in the coffin is maths unpredictability incompleteness and inconsistency if made complete...ish.
The proofs that math isnt complete or consistent were given by kurt gödel.
If the sofa is made only of foam rubber, it can be really big. And Yay! for Martin Gardner!
5:50, this really makes me picture a team of mathematicians lost in the woods, and instead of just walking and getting out, they’ve all sat down and gotten stuck trying to figure out this problem 😂
Michael might be my favourite host. Just there politely explaining the very serious math of worm blankets.
When mathematicians eventually give up on these unsolvable problems, I'll bet they think about all the time they spent pondering about *_x_* and wonder *_y_* ?
Naw, that only happens when someone shows the answer is actually z.
caaaaarloooos
The sofa problem? Easy, old house : sofa, new house : log fire.
How do you take the log of a fire? To what base?
@@pierreabbat6157 that depends on how many seats the darn sofa has.
If old house had *old* sofa, don't burn the foam/stuffing in it, could get nasty even if outside
"Hey kids! Be careful burning your household furniture! It could release toxic fumes, so always check with your parents!" 😂
Michael's hair game is on point.
He cut it!!!! Noooo!!!
Not including the Collatz conjecture/3n+1 problem in a list like this is weird.
I think the focus is on problems for which it is kind of surprising that we don't know the answer to. While for the Collatz problem, if asked how to attempt a proof of it, almost every mathematician out there would be more or less dumbfounded.
@@lonestarr1490 Good point
This list should include all interesting problems not on this list
@@fi4re I think there is something special about a problem you can explain to the average 4th grader while at the same time being described by Erdös with "Mathematics may not be ready for such problems.".
The Moser's worm problem is very badly explained here.
They left to tell you are allowed to turn or flip the worm.
Can you roll it up in a spiral?
I still don't understand what the problem is and why a 6-6.5% solution works. How can you get below the the circle? What if the worm spins in its sleep? If it's not allowed to spin, then why not a blanket exactly the size of the worm?
@@zunaidparker You have to prepare the blanket upfront, not knowing in how the worm is shaped and the blanket is sort of "stiff", so couldn't bend it. You can get below the circle by an ellipse to example. If the worm is stretched out you can use the long side of the banket, if it is curled up, it can't be that wide, since it is curled up, so the middle part doesn't have to be that wide.
@@zunaidparker In the problem it's actually a curve, not a worm. Curves are lines, but the they are still lines, therefore having only one dimension. The Blanket that was the size of the worm would also be one dimensional, but the problem asks for the smallest 'area'. There are probably other restrictions on the types of 'blanket' that can be considered. These problems are usually all about the restrictions that are put on the requirements.
@@malavoy1 Spiral is one "shape" of the worm, but you have to consider *all* the possible "shapes". You cannot reshape the worm, only turn and / or flip it. Thus the blanket cannot be one dimensional, that wouldn't cover the spiral only straight line.
Mathematicians: HOW CAN WE PROVE THIS BLANKET IS THE SMALLEST AREA TO COVER A WORM IN ANY POSITION????
Me: Blankets bend....
loved math in grade school. lost the lust in high-school. never made it to college because some people don't want to teach. Home work is stupid if I got to teach myself.
I found this cool way of making magic squares which requires a sequence of 9 numbers such that they have common difference and I don't see how that is possible with square numbers of whole numbers. So, I concluded it was impossible to make magic square of squares. If there is any other way to make the magic squares let me know.
According to the method,
for any arithmetic sequence, Example: 1, 2, 3, 4, 5, 6, 7, 8, 9
These numbers can be written in magic square as: [8th 1st. 6th]
[3rd. 5th. 7th]
[4th. 9th. 2nd]
Math can be such an enigma at times...
Enigma is math at other times
*I'm sorry but the sofa problem has already been solved by IKEA lol* 🔧
Chainsaw #1 answer.
Math teachers that didn't know where what they taught corresponded in the real world drove me crazy in my school days
Tbf, sometimes not even mathematicians have an answer to that.
"Shaped as a telephone's receiver" that description aged you
W•H•A•T•S•A•P•P
+•1•8•1•3•6•8•0•0•9•3•0•
I•n•v•e•s•t•inC•r•y•p••t•o
B•T•CA•N•D•E•T•H D•O•G•E.
3:38 If I was taking a Math test I'd just say 2pi% and hope that it somehow is exactly correct
when I hear “sofa” and “staircase” in one statement, I hear “pivot! pivot!! PIVOOOTT!!” 😂
This videos title should be “proving that mathematicians have too much time on their hands”
4:11 Maybe it's a "million buck problem" because there are so many deer in the forest.
Why does moser's worm answer seem to just be a sleeping bag?
I can’t get over how validating it is to see another male with the same type hair and length as me. And who’s also loves science no less!
W•H•A•T•S•A•P•P
+•1•8•1•3•6•8•0•0•9•3•0•
I•n•v•e•s•t•inC•r•y•p••t•o
B•T•CA•N•D•E•T•H D•O•G•E..
Problem 3 - the forest: The first thing that entered my mind was "Climb a tree". Perhaps the problem needs rephrasing to eliminate such thoughts.
"recreational math"
Surely such an improbable creature never existed
The weirdest problem in math is why the hell Jerry would want or need to buy 1500 watermelons
I was really hoping they would evoke some of the music or theme, or settings from the tv show “unsolved mysteries”...alas, a missed opportunity.
That makes me want to parody/recreate the "A Current Affair" logo graphics & iconic sound design, probably with some vaporwave aesthetics thrown in for good measure, haha.
#1 The answer is a giant inflatable sofa. Alternatively, you could burn a regular sofa and carry the box of ashes.
Paint curing amazes me, technically it isn't drying it's curing.
The real question with mosers worm is what kind of monster would make such a tiny blanket for a baby worm? I think baby worms deserve better. Maybe give them a pillow too
0.9 repeating = 1
this will make people mad but it’s true
IMO, it's not that it's necessarily true, it's just that you can't prove it false.😜
People usually look at decimal representations to investigate properties of the real numbers. In order to do that you almost always need a 1-1 correspondence between the reals and decimal representations. In order to have a 1-1 correspondence you need to exclude infinite 9's at the ends of numbers.
While what you said is technically valid, if your looking to prove anything with these decimal representations then you probably need to define decimal representations with infinite 9's at the end as not existing. Or in other words .9999... does not equal 1, most of the time
In short .9...=1 ... sometimes lol
Sofa: Stand the sofa on end; the length of the sofa you can get around the corner is limited by the height of the ceiling.
In this example, the ceiling has a height of zero.
@@massimookissed1023 Oh, sorry. However, I live in 4D-space not Flatland.
@@samwisegamgee4659 They still said "without lifting;" that is, without standing anything on its end.
Oh, I was thinking he'd talk about the Goldbach Conjecture or Continuum Hypothesis
No, the Moving Sofa puzzle is "how did I get it in here, but I can't get it out?!"
Fun fact: Any mathematician lost in a forest will die because he aint smart enough to toss away math and concentrate on actual survival.
Sounds stupid. Probably right.
I can’t help but think the animator wasn’t given enough info on the worm problem in order to helpfully visually convey the worm problem.
These probems haven't been solved because they're literally a waste of people's time.
They arent. They are when phrased the way they are in this video but many of these types of questions can have important functions in computer science.
Another one I like is the Goormaghtigh conjecture: There are only two positive integers that are repunits with at least three digits in two different bases. I'm writing a program that uses both of them: it uses polynomials mod 31 as an error-correcting code, and it generates an 8191-bit test pattern.
I can see a lot of these being a major boon to the games industry.
Sofa problem step 1: fire up the chainsaw.
I feel like this episode suffers from not being in depth enough. I was intrigued and wanted to know a bit more about the math.
PIVOT!!...PIVOTT!!.....PIVOTTTTT!!
~ Ross Geller
How much into an unfalsifiable concept does inquiry have to delve before it’s determined such? and when is such considered an impractical inquiry? Are there practical unfalsifiables to ponder?
Pretty sure that "unfalsifiable concept" isn't a thing; not that the rest of that comment makes much more sense
@@maloxi1472 not coming from a math, but plenty of these examples, might qualify. For instance, any irrational number number is an unfalsifiable concept, because we cannot physically observe or demonstrate such, or anything rendered as infinite. So perhaps, where is the practical end of notation of an unrepresentable number or investigating improbability? Where does practical math end, and theoretical math begin? Perhaps a bit too deep, but since we were discussing things that have not been proven. I'm not trolling, just nerding out.
We don't know and can't know, and that's honestly what excites me so much about math (and breaks my heart with regards to people who don't share in that sentiment). Your example of imaginary numbers is a perfect one - they're incredibly useful in the real world as they distinguish between different axis that meet certain properties, like the axis of 2D space or even abstract dimensions in non-spatial data sets. We have absolutely no way of knowing whether a crackpot idea will lead to a massive breakthrough or nothing at all, and that's what's exciting - there's a theoretically infinite toolbox out there that's all interconnected in surprising and nonlinear yet still rigorously structured ways and we just get to keep digging and finding ways to solve real-world problems we didn't even know we had
For the couch problem, tip the sofa on to it’s end, turn the corner then lower the couch or original position. Tada! Problem solved and no math involved!
The problem includes the part where one cannot lift the sofa.
I would love to see some of the solutions to these problems!
So would they
@@itsonlyhersh chortled a bit
find them, then.
I love recreational math. This is why I have a whiteboard hanging in my room. I am a big nerd.
5. Why we won't ditch Pi and start using Tau, considering it's highly superior
baby worm problem is simple indeed! Put it in a tube shape blanket.
I completely lost with this one. :)
What’s the baby worm’s width? All we need is to make it a tube with a hemispheric cap at each end. Then just take the flattened mesh of it, like the pattern used in sewing it.
Trigger discipline, or you'll be cleaning Marvin's grey matter off the back seat.
I looked into the comments for Parker Square references and they didn't disappoint! 😆
If you keep your palms let's say one meter apart from one another and you half that distance every time, mathematically your palms should never touch. But they do.
"How do you find the quickest way out of the forest?"
Me: climb a tree
the problem here is finding a tree tall enough, if not the tallest. What if the tree is surrounded by other trees
@@FedJimSmith climb a taller tree
@@chunkycomet9117 energy limited
What about the question, "Is math discovered or created?"
Neither, the terms do not apply to such question. Or either one depending on how you like to define them.
Now I know why engineering was more appealing to me.
Q: Is Math a field of Science?
Physics, mostly.
no
No, not unless deductive proof takes the place of experimental evidence in all scientific fields.
@@toriad9848 nope
@@toriad9848 Physics is mostly math, but it doesn't work the other way around.
Baby worm blankets is a phrase I wouldn’t expect to hear on a math problem, but I’ll take it.
W•H•A•T•S•A•P•P
+•1•8•1•3•6•8•0•0•9•3•0•
I•n•v•e•s•t•inC•r•y•p••t•o
B•T•CA•N•D•E•T•H D•O•G•E..
Yay Maths!
The worm needs a bag, not a blanket.
The sheer amount of mathematical illiteracy in the comments makes me worried about the future of our species 😕
The problem we want solved is, "Given walls A units apart, tell if a sofa L x W can fit"
So is this why math is hated so much?
This is why it's loved. People who "hate math" typically hate a caricature of it, where creativity is replaced by blind calculations and logic by arguments from authority; you know, like what happens in most mediocre schools...
A little surprised the Collatz Conjecture didn't make this list, but I didn't know about the worm/forest problems, so that was cool.
W•H•A•T•S•A•P•P
+•1•8•1•3•6•8•0•0•9•3•0•
I•n•v•e•s•t•inC•r•y•p••t•o
B•T•CA•N•D•E•T•H D•O•G•E..
@1:24, "But proving you've got the biggest one, that's a lot harder."
"That's what she said."
Worm= 2πrh + 2πr2 or area of a cylinder. The worm may be flexible, but so is the blanket. The surface area of both will be constant.
127^2 46^2 58^2
2^2 113^2 94^2
74^2 82^2 97^2
this is the closest i found the sum of rows and columns and one of the diagonals is comes out to be 21609 but other diagonal value (sum) is coming more than 21609
I believed it was solved identical to your 3x3 while working around counterclockwise, found your comment then realized top left to bottom right go over 21609. Is it a prank?
Calculus be like: haha worms blankets go burrr
Michael's flow game is closing in on full awesome 👌😎 say no to haircuts Mike!
1:11 "the biggest sofa soFA"
I'm confused about the worm problem. How can a blanket smaller than the circle shown cover the worm at any rotation?
Why would a work even use a blanket in the first place
you're allowed to move the blanket around to cover the worm. as a very simple example: if the worm was always either a straight line, or curled up into a circle we could cover it with something that looks like Ø. placing the line over the worm when it's straight, and the circle when it's curled up. this would have a smaller area than a full disk (since we remove most of the interior of the disk.
for reference: the best guesses are slightly modified "sectors" of unit radius - shapes that look a bit like a pizza slice where the length from the tip to the middle of the crust is 1.
@@TheAqissiaq Ohh, thank you so much for the explanation!