So topology studies shapes. When you have such a shape you can construct an algebraic thingy that corresponds to each shape called the fundamental group Basically then if you can show that the shapes have different fundamental groups they're different shapes in the sense that one cannot be smoothly deformed into the other. So in topology a square and a circle are the same shape because if you think of it like playdough you can reshape one into the other.
@@micayahritchie7158 Im so glad I got to play with "dough" as a kid because now in geometry and topology I often ask myself "but what if this thing were made of dough?" To better understand what s going on
The two rings together have a different fundamental property than the two rings apart, so there is no "real" (read 'magic' or 'trickerx' here) operation that can transform one to the other It would break a sort of mathematical conservation law (like energy conservation in physics)
@@IIIztosee topology is one of the hardest if not the hardest topics in mathematics. source:- took a topology course during my bachelors. almost messed up my grade lol
the rings have tiny gap that allow rings to be connected easily. but to make sure those gap not seen by audiences, magician hands play a big role in making sure it work smoothly
Yes, the point is that if the magician was being honest with us, it would be impossible. We can mathematically prove it. So it's clear through mathematical logic that the magician is not being honest with us.
@@anthonyfaiell3263 The whole point of magic is defying physics. If someone claims to be able to alter the laws of physics at a whim, you can't use physics to debunk their claims. No, I do not think magic is real, but you can't prove it's not.
Exactly... mastering sleight of hand is difficult... and the mechanics of a magic trick really isnt the magic... the magic is the magical experience you get from witnessing a very crafty and skillful magician. Magicians create experiences. They allow you watch and see things that optically are indistinguishable from real magic.
Anywhere there are graphs applications of algebraic topology are lurking nearby. Logistics and networks are whole industries that use them constantly. They have working groups and stuff.
So one magician called me on the stage and he asked me to do it. I gave the exact same reason and he made the whole crowd laugh at me. He asked my college name. I said. I studied Applied Mathematics from IIT Roorkee. And what a joke he made on me. He said that it's something that is beyond mathematics.
Understanding requires effort, something most people don't want to apply. And the way they rationalize being ignorant is by belittling people who are more intelligent or who have put more work in than them.
damn, as a magician myself, that is a dick move. You shouldn't make a single person feel bad even if it makes a lot of people heppy. I'd give you a hug but i can't cause magic aint real :(
At lower levels, maths is a language that makes things in life easier to understand. At higher levels, maths makes things in life harder to understand.
My best attempt to put this in layman’s terms: Given 2 “spaces”, for example, the space of two unlinked rings and the space of 2 linked rings, the fundamental group is a way of classifying all loops in this space. A loop here is a curve that starts and ends at the same point (not the same as the rings themselves). More specifically, we say 2 loops are equivalent if you can continuously deform one into another. If 2 spaces have a different fundamental group, you cannot continuously transform one of the spaces into another. Here, by showing that the fundamental groups are different because one is abelian and the other is not, we can deduce that you cannot continuously transform 2 linked rings into 2 unlinked rings
The videos that show the separation of the two episodes from each other on RUclips collect millions of like. , the videos that show the impossibility of that:-....🙄
Wow that explanation was much clearer. Up until now I thought that it was possible to separate two fixed rings that were linked together. 🤔🤔🤔 Never trust a magician to chain your bike up. It just comes loose.
@@Grizzly01 You misinterpreted a person saying it only now seems obvious to them that objects usually cannot pass through each other as an attempt at humor. Are you 1?
@@Grizzly01 You most certainly did. There's no way thanking a person for explaining something could be misconstrued as a joke. You haven't spent enough time on earth, my friend.
What is bad about highschool math tricks? I mean if you want to learn advanced mathematics, then I think reading a book and trying to solve some problems from that topic is better than watching a video about it.
We have several lecture series on the channel that may be of interest - graph theory, knot theory, differential geometry, advanced linear algebra, metric spaces, etc.
@@sebgor2319 These so called math tricks are just baby gibberish which won't do you any good in any real problem situation. Also when you decide to actually study math you won't be calculating anything at all. I am German and having 3 degrees from German universities and one of those is in pure Math, so let me tell you if you wanna learn what you call advanced mathematics you can forget any "trick" you know as it is not a trick just some useless clickbait.
@@Pommes736 I know that there is like no calculations in advanced maths. Still Im talking about highschool People that learn Basic calculus, or Basic algebra(factoring, or quadratic formula). I mean this math videos might be useful for them.
There's a split in those metal rings magicians use... One ring is solid, the other has a break in the metal ring, and when the "illusionist" move the solid ring on that break,it appears to be separating...
Magicians often preface their act by pointing out everything you see is a trick, employing suggestion, distraction and other devices, some of them ancient. Derren Brown does it all the time.And he would be the first to admit that there is no such thing as Magic. The whole world is a marvel but not a miracle. R, 😎❤️👹🤩🥸😍👍.
The three cardinal, trapezoidal formations, hereto made orientable in our diagram by connecting the various points, HIGK, PEGQ and LMNO, creating our geometric configurations, which have no properties, but with location are equal to the described triangle CAB quintuplicated. Therefore, it is also the five triangles composing the aforementioned NIGH each are equal to the triangle CAB in this geometric concept!
But when the two fundamental groups are boungd by inter coalescence then the abilian properties become quasi-miogastonian allowing the molecules to act as a liquid state under pressure allow each molacule to interlace between each other without loosing it's electro cohesion
Did this in my differential topology course last year, but we used the linking number instead of the fundamental group (because differential, not algebraic lol). The Hopf link is not link isotopic to the unlink :)
What about a Mobius strip.... if you have one with a complete 360⁰ twist (180⁰ will result in a single loop twice the size of the original) and cut it in half along its length you'll end up with two linked but separate loops .... I know that's not quite the same but it does show you can make interlinked loops without the need to rejoin anything
Actually it is not possible because he didn't chant the sacred verse of Am Rakh as found in the book of Nemseth. Every first grade student in Kamar Taj knows that.
No! He just HAS proven that Magic is real. It is physically impossible, using our laws of physics to separate those rings, so when the magician does it:it must be Magic!
My recurring nightmare in maths class in high school. Then I joined the navy in 1970 and had to learn navigation using a sextant. They even made us shoot the sun. Oh my aching brain. 35 years later I am being shown how to use gps navigation and I am asking how accurate is this postioning? I am told to within a metre. I could not be that accurate in 1970 I don't think. Pass me a beer please.
No idea what he's talking about but i admire his enthusiasm.
So topology studies shapes. When you have such a shape you can construct an algebraic thingy that corresponds to each shape called the fundamental group
Basically then if you can show that the shapes have different fundamental groups they're different shapes in the sense that one cannot be smoothly deformed into the other.
So in topology a square and a circle are the same shape because if you think of it like playdough you can reshape one into the other.
@@micayahritchie7158 Im so glad I got to play with "dough" as a kid because now in geometry and topology I often ask myself "but what if this thing were made of dough?" To better understand what s going on
Yeah, and the rings have a slot, you just have to keep your fingers over it at all costs
Definitely needs to work on his sleight-of-hand. 😅
He seems to be having an asthma attack
that's why we need algebraic topology
Ok but I don't even know how you'd compute the fundamental group of two interlocked rings
@@micayahritchie7158you compute it on the complement
@@micayahritchie7158 It is the fundamental group of the complement of (a neighborhood of) the links. See the full lecture linked in video for details.
@@MathatAndrews A neighborhood as in sunset of Euclidean space it's embedded in?
@@micayahritchie7158 You can just think that we are finding the fundamental space of 3-dimensional space, drilling out the links.
I could study for abelion years and still not understand this.
It's pretty simple, grab 2 rings that are linked and try to unlink them. Boom, you understand.
Bravo. Well done. The guy above has zero sense of humor or perception.
@@CLove511 😂🤦♂️
I think Abelian means = symmetrical!
The two rings together have a different fundamental property than the two rings apart, so there is no "real" (read 'magic' or 'trickerx' here) operation that can transform one to the other
It would break a sort of mathematical conservation law (like energy conservation in physics)
Man teaching the hardest topic in mathematics just so casually.
By far not the hardest topic in mathematics
@@IIIztosee topology is one of the hardest if not the hardest topics in mathematics. source:- took a topology course during my bachelors. almost messed up my grade lol
@@vincentchan4777proof qed 😅
@@vincentchan4777that's like saying "biology is the hardest topic in the study of life"
@@kokid312kokidactually, the hardest topic in the study of life is defining what a woman is ☝🏻🤓
the rings have tiny gap that allow rings to be connected easily. but to make sure those gap not seen by audiences, magician hands play a big role in making sure it work smoothly
And that's why you probably fail math.
@@abrammedrano4392What do you mean?
Yes, the point is that if the magician was being honest with us, it would be impossible. We can mathematically prove it. So it's clear through mathematical logic that the magician is not being honest with us.
@@anthonyfaiell3263 The whole point of magic is defying physics. If someone claims to be able to alter the laws of physics at a whim, you can't use physics to debunk their claims. No, I do not think magic is real, but you can't prove it's not.
David Blaine checking in lol
It's amazing how magicians are able to undo that connector and put it back together so fast we don't see it 👍
They disguise reality a different way.
Exactly... mastering sleight of hand is difficult... and the mechanics of a magic trick really isnt the magic... the magic is the magical experience you get from witnessing a very crafty and skillful magician. Magicians create experiences. They allow you watch and see things that optically are indistinguishable from real magic.
Mathematicians. Spoiling magic since 1665
Thanks man, here I was, thinking they were stuffing 20 bunnies in a hat and chopping people in half
The only real life application of algebraic topology
Clueless
Anywhere there are graphs applications of algebraic topology are lurking nearby. Logistics and networks are whole industries that use them constantly. They have working groups and stuff.
I guess you don't know about topological data analysis
Ah good old group theory. 😂
In this case we should be using ring theory lol
@@deananderson7714HAHA good one
@@deananderson7714nicest joke ever award goes to you, sir
So one magician called me on the stage and he asked me to do it.
I gave the exact same reason and he made the whole crowd laugh at me.
He asked my college name.
I said. I studied Applied Mathematics from IIT Roorkee.
And what a joke he made on me.
He said that it's something that is beyond mathematics.
Super villain origin story
@@sirpomegranate2446literally
Understanding requires effort, something most people don't want to apply. And the way they rationalize being ignorant is by belittling people who are more intelligent or who have put more work in than them.
Sounds like you need a mathematical support group! *hug*
damn, as a magician myself, that is a dick move. You shouldn't make a single person feel bad even if it makes a lot of people heppy. I'd give you a hug but i can't cause magic aint real :(
At lower levels, maths is a language that makes things in life easier to understand. At higher levels, maths makes things in life harder to understand.
Pretty apt description.
@@MathatAndrews 🫡❤️
Them: you'll never need algebraic topology in the real world
This guy: took this personally
This is one of those "no math required" type problems!
Glad he's having fun though!
12k likes on this video wow! Good to see Topology getting the spotlight it deserves!
Next time I am at a magic show:
*_”haha … tHaT rInG’s NoT aBeLiAn!”_*
And the magician will answer ‘dang ! He knows I’m not doing actual magic 😩´
My best attempt to put this in layman’s terms:
Given 2 “spaces”, for example, the space of two unlinked rings and the space of 2 linked rings, the fundamental group is a way of classifying all loops in this space. A loop here is a curve that starts and ends at the same point (not the same as the rings themselves). More specifically, we say 2 loops are equivalent if you can continuously deform one into another. If 2 spaces have a different fundamental group, you cannot continuously transform one of the spaces into another. Here, by showing that the fundamental groups are different because one is abelian and the other is not, we can deduce that you cannot continuously transform 2 linked rings into 2 unlinked rings
Just the casual backwards arrow
I love people who pour so much passion into their jobs
He's so cute 😭
The videos that show the separation of the two episodes from each other on RUclips collect millions of like.
, the videos that show the impossibility of that:-....🙄
Yeah
When you ask your math professor for real world application of algebraic topology
Niels Abel is really proud 🎉
Correction, you have proven a case where your math doesn’t work!
Lol😂
Wow that explanation was much clearer. Up until now I thought that it was possible to separate two fixed rings that were linked together. 🤔🤔🤔 Never trust a magician to chain your bike up. It just comes loose.
Thanks, now you say it it appears obvious 😅 wasn't so sure before
You weren't sure if it's possible for objects to pass through each other? Are you 3?
@@josh8584 You were unable to detect the obviously humorous intent of the opening comment? Are you 2?
@@Grizzly01 You misinterpreted a person saying it only now seems obvious to them that objects usually cannot pass through each other as an attempt at humor. Are you 1?
@@josh8584 I misinterpreted nothing. You, however...
@@Grizzly01 You most certainly did. There's no way thanking a person for explaining something could be misconstrued as a joke. You haven't spent enough time on earth, my friend.
How did I ever get this far in life without knowing that??
You must be the life and soul of the party . Next week’s lesson for the kids is Santa doesn’t exist
Topology was soo long ago...
Is the difference between the fundamental groups the number of holes?
Essentially! We have a lecture on the fundamental group on the channel you can watch.
"Why did the chicken cross the mobious strip??"
- "To get to the same side...Bazingaa!"
Want to learn algebraic topology 😢
Shhh
We will be posting a series of lectures introducing algebraic topology in the upcoming months!
That girl saying “ewwww” got me rolling 🤣
Finally some real math, not this high school gibberish from youtubers who not even having a math major or even could hope to get one in a mio years
What is bad about highschool math tricks? I mean if you want to learn advanced mathematics, then I think reading a book and trying to solve some problems from that topic is better than watching a video about it.
We have several lecture series on the channel that may be of interest - graph theory, knot theory, differential geometry, advanced linear algebra, metric spaces, etc.
@@MathatAndrews Thanks for letting me know.
@@sebgor2319 These so called math tricks are just baby gibberish which won't do you any good in any real problem situation. Also when you decide to actually study math you won't be calculating anything at all. I am German and having 3 degrees from German universities and one of those is in pure Math, so let me tell you if you wanna learn what you call advanced mathematics you can forget any "trick" you know as it is not a trick just some useless clickbait.
@@Pommes736 I know that there is like no calculations in advanced maths. Still Im talking about highschool People that learn Basic calculus, or Basic algebra(factoring, or quadratic formula). I mean this math videos might be useful for them.
There's a split in those metal rings magicians use... One ring is solid, the other has a break in the metal ring, and when the "illusionist" move the solid ring on that break,it appears to be separating...
SMH! The dude doesn't even know how much a billion is! 🙄
You can't call something a fraud when it was never claimed to be true in the first place.
Magicians often preface their act by pointing out everything you see is a trick, employing suggestion, distraction and other devices, some of them ancient. Derren Brown does it all the time.And he would be the first to admit that there is no such thing as Magic. The whole world is a marvel but not a miracle. R, 😎❤️👹🤩🥸😍👍.
Wish I had an abstract teacher like that.
The three cardinal, trapezoidal formations, hereto made orientable in our diagram by connecting the various points, HIGK, PEGQ and LMNO, creating our geometric configurations, which have no properties, but with location are equal to the described triangle CAB quintuplicated. Therefore, it is also the five triangles composing the aforementioned NIGH each are equal to the triangle CAB in this geometric concept!
And yet the rings still somehow come apart.
But when the two fundamental groups are boungd by inter coalescence then the abilian properties become quasi-miogastonian allowing the molecules to act as a liquid state under pressure allow each molacule to interlace between each other without loosing it's electro cohesion
My abstract algebra teacher in college was not like that
Did this in my differential topology course last year, but we used the linking number instead of the fundamental group (because differential, not algebraic lol). The Hopf link is not link isotopic to the unlink :)
I've been to many of his lectures. He is great!
Thanks!
I understand what an Abelian group is, just the basics tho. but this got over my head.
It's been 20+ years since I took AP Calculus but I have absolutely comprehension about anything I just heard.
Suddenly I have the courage to relinquish my foolish belief in magic.
No way RUclips could have known I know what an abelian group is when recommending this short, but they got lucky this time.
I went to Andrew’s for a few classes so seeing this is kinda cool
Awesome!
I'm not a mathematic guru, so after his explanation, i need an explanation of his explanation!!!
This needs some subwaysurfer gameplay FR FR
This guy truly is abelianaire.
"A billion? No sir" .... "Oh, abelian! I definitely didn’t need to Google that"
thats exactly why people are amazed and call it magic
What! You’re telling me that this magic trick was FAKE all along????? I’m devastated.
i ll bet theres a 1000 magicians who will prove otherwise
So impressive that this guy is a math professor and an autistic surgeon. Respect.
What about a Mobius strip.... if you have one with a complete 360⁰ twist (180⁰ will result in a single loop twice the size of the original) and cut it in half along its length you'll end up with two linked but separate loops .... I know that's not quite the same but it does show you can make interlinked loops without the need to rejoin anything
“I’m telling you right now: that group is not a abelian!”
He's good. I bet he'd be good at explaining quaternians!
Thanks! I always wanted to learn to do this trick!
Science is provisional. I immediately tune out when I hear someone claiming to be a scientist calling something "impossible".
Imagine that stage magicians don’t have magical powers. Who knew? Oh, just about everyone. 🤦♂️
I’m already lost. Can we see the card trick now?
It has never taken this amount of math to debunk magic😂😂 are you kidding ?!
who said magic couldnt be boring?
He quickly wrote it down and puts an exclamation mark he figured we'll think he's saying not a billion and did you hear that dude saying nooooh
I just paid 60k tuition for someone to tell me that two solid rings can not physically intertwine.
He proved that it's not magic. But can he now prove it's not an illusion. 🎉
But he did prove that magicians will actually either need magic or trickery to seperate the rings...
Fraud's a strong word.
Did he explain how it works? I didn’t get the explanation
He did not explain how to perform the magic, but he did explain it is impossible to do so without some tricks like "break the rings very quickly".
That would have been a great opportunity to learn the trick, do it and just end the class.
what ever u may bring to the class room wont make me like math😂😂😂
whooosh!!! what flew over my head!
I used to teach subsonic aerodynamics
and I have no idea what he was saying.
Seriously I would like to show that man in person where we went wrong on so many different levels
Knotes theory in algebraic topology
Boys we got a nerd here explaining.
Mathematician proves Magicians are smart, creative and talented.
Actually it is not possible because he didn't chant the sacred verse of Am Rakh as found in the book of Nemseth. Every first grade student in Kamar Taj knows that.
I've studied all types of maths and never heard that word/concept. Interesting
I heard it abelion times.
Now that’s all cleared up who’s paying too much for car insurance?
Glad he set the record straight on just how much of frauds magicians were. And here I was thinking they truly possessed magical powers!
Exactly why It's called a trick...
abelian should be Abelian. Names have Capitals, even in maths.
I’m pretty sure bro just proved why magic exists!!!
This whole claim is devoid of logic. If magic is real in the sense of being supernatural, by definition it would transcend mathematical principles.
This so embarrassing. Using all this mathematical machinery to prove something so obvious.
No! He just HAS proven that Magic is real. It is physically impossible, using our laws of physics to separate those rings, so when the magician does it:it must be Magic!
"proves magicians are frauds"
Damn, if you didn't know they don't use actual magic but just tricks until this video...
How does rank from linear algebra even go into this topic
is this part of a full lecture I can watch somewhere?
Go to his channel. He put an entire course online.
Her just earned abelian dollars
plz help sheldon cooper with this😂
le American phycho: why not is possible?_
Dammit, he's out of line but he's right
My recurring nightmare in maths class in high school. Then I joined the navy in 1970 and had to learn navigation using a sextant. They even made us shoot the sun. Oh my aching brain. 35 years later I am being shown how to use gps navigation and I am asking how accurate is this postioning? I am told to within a metre.
I could not be that accurate in 1970 I don't think. Pass me a beer please.
Love learning math from Marvin the Martian
He just explained why he isn't beeing invited to kids parties.
I bet this guy is loved at parties
Right it’s impossible, so how do they do the trick