Mathematician Proves Magicians are Frauds Using Algebraic Topology!

[@vibeslide]

No idea what he's talking about but i admire his enthusiasm.

[@micayahritchie7158]

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.

[@Mejayy]

​@@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

[@shumsghost]

Yeah, and the rings have a slot, you just have to keep your fingers over it at all costs

[@benjaminmacdonald7656]

Definitely needs to work on his sleight-of-hand. 😅

[@TheBluePhoenix008]

He seems to be having an asthma attack

[@lewie909]

I could study for abelion years and still not understand this.

[@CLove511]

It's pretty simple, grab 2 rings that are linked and try to unlink them. Boom, you understand.

[@rwarren58]

Bravo. Well done. The guy above has zero sense of humor or perception.

[@lewie909]

@@CLove511 😂🤦‍♂️

[@mathematics5573]

I think Abelian means = symmetrical!

[@angrymurloc7626]

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)

[@eugene1323]

that's why we need algebraic topology

[@micayahritchie7158]

Ok but I don't even know how you'd compute the fundamental group of two interlocked rings

[@purplestovekitchen]

@@micayahritchie7158you compute it on the complement

[@MathatAndrews]

@@micayahritchie7158 It is the fundamental group of the complement of (a neighborhood of) the links. See the full lecture linked in video for details.

[@micayahritchie7158]

@@MathatAndrews A neighborhood as in sunset of Euclidean space it's embedded in?

[@MathatAndrews]

@@micayahritchie7158 You can just think that we are finding the fundamental space of 3-dimensional space, drilling out the links.

[@joep3525]

Glad he cleared that up.

[@carebear2883]

I so hope he’s going to make a video debunking the tooth fairy using eggplants. We need it.

[@punkisinthedetails1470]

😂

[@punkisinthedetails1470]

​@@carebear2883😂

[@Sagardeep_Das]

Abelian. I thought he said a billion at first jeez. 😂

[@g_rr_tt]

a single word that sets apart the math chads and the virgin engineers

[@neevhingrajia3822]

​@@g_rr_ttthe burn~~

[@antareepgogoi6065]

@@g_rr_tthell yeah!

[@malcolmstarkey1062]

If it’s any consolation so did I.

[@ansfridaeyowulfsdottir8095]

*_" I thought he said a billion"_* Me too! {:o:O:}

[@camerons6028]

The real magic is that someone in the class learned that magic isn't real. Next week debunking Santa and the Easter bunny.

[@jacquesroche7654]

Don't leave out the tooth fairy

[@ifireatwill2225]

​@@jacquesroche7654I did leave out the tooth, and dont call me a fairy! 😂

[@highviewbarbell]

​@@ifireatwill2225surely, you cant be serious

[@aryansingh7209]

Man teaching the hardest topic in mathematics just so casually.

[@IIIztosee]

By far not the hardest topic in mathematics

[@vincentchan4777]

@@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

[@azursmile]

​@@vincentchan4777proof qed 😅

[@kokid312kokid]

​@@vincentchan4777that's like saying "biology is the hardest topic in the study of life"

[@Mster_J]

@@kokid312kokidactually, the hardest topic in the study of life is defining what a woman is ☝🏻🤓

[@jyienger]

They say earning your first Abelian is the hardest one.

[@mathismind]

Real life application haha

[@gameseeker6307]

Where is sin cos tan

[@GrifGrey]

​@@gameseeker6307in trig

[@deananderson7714]

@@gameseeker6307engineering

[@fatitankeris6327]

​@@gameseeker6307In your computers to function at all, and planes to fly, and electricity to work.

[@MathatAndrews]

Who said math is useless 😅

[@michaelobrien5910]

Mathematicians. Spoiling magic since 1665

[@jlmsmith2113]

Love the girl in the back that groans in disbelief after the teacher says he has just proven that magic isn’t real! Hilarious 😂

[@adrikkozlov]

You can tell he's dedicated to his profession. The little smile of accomplishment on his face. Teacher by choice

[@MathatAndrews]

We certainly don't do it for the pay! 😃

[@alriz7066]

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

[@abrammedrano4392]

And that's why you probably fail math.

[@josh8584]

​@@abrammedrano4392What do you mean?

[@anthonyfaiell3263]

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.

[@josh8584]

@@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.

[@davidtomasetti8520]

David Blaine checking in lol

[@imaginaryuniverse632]

It's amazing how magicians are able to undo that connector and put it back together so fast we don't see it 👍

[@milesjohnson4526]

They disguise reality a different way.

[@keithstarnes7009]

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.

[@SuperMaDBrothers]

The only real life application of algebraic topology

[@marioarguello6989]

Clueless

[@abebuckingham8198]

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.

[@maj46978]

I guess you don't know about topological data analysis

[@mt7able]

Next, he’ll use Euclidean geometry to prove that Santa’s sleigh could never cover the whole globe from his starting point in the North Pole. 🎅

[@MathatAndrews]

We need spherical geometry for that!

[@forcedtomakeanaccount7628]

Thanks man, here I was, thinking they were stuffing 20 bunnies in a hat and chopping people in half

[@edinfific2576]

Now I understand even less the reason why that's not possible. 😬

[@literallyjustayoutubecomme1591]

The goal is to show that the two spaces are not homemorphic, which, in layman's terms, means that one cannot be transformed into the other by continuous deformations (stretching, twisting etc, but tearing is not allowed). In general it can be difficult to show that two spaces are not homeomorphic, so invariants are considered. If two spaces are homeomorphic, their corresponding invariants are necessarily equal. Equivalently, if the invariants differ, the spaces must be necessarily non-homeomorphic. The fundamental group that the dude is talking about is one such invariant.

[@sidharthgautam8989]

Loved the excitement, never expected it in a maths class😂😂👍

[@clintonjurgens7239]

The best professor I had in college was my differential equations teacher. He clearly loved the subject.

[@jester4348]

Thank you for keeping my social science classrooms filled homie!

[@LightKnight_Age_Of]

Magic is precisely about doing something impossible. It's about pretending to do something which is yet impossible.

[@GarnetDart]

you mean like the theory of human creation?

[@LightKnight_Age_Of]

@@GarnetDart ?

[@GarnetDart]

@@LightKnight_Age_Of The theory that God made man. You summed it up perfectly. Impossible

[@a.s.l711]

Magicians are smart . They came up with an attractive application of science and called it magic.

[@Ridz149]

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.

[@MathatAndrews]

Pretty apt description.

[@Ridz149]

@@MathatAndrews 🫡❤️

[@charlieb8735]

I love this. It’s a goofy and simple way to explain an aspect of topology/set theory in an intuitive way that doesn’t have the intimidating names attached.

[@MathatAndrews]

Thanks! That was the goal!

[@Tabu11211]

No idea what I just witnessed

[@samueljehanno]

Me too

[@deanazarnush884]

it was the second coming

[@jamesdurham5295]

Proof that magic is real

[@imaginaryuniverse632]

I don't think it was proof that magic doesn't exist 🙄

[@fishmongers]

Abelian

[@INNoMATHsforyou]

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.

[@sirpomegranate2446]

Super villain origin story

[@pablomartinsantamaria8689]

​@@sirpomegranate2446literally

[@anthonyfaiell3263]

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.

[@MathatAndrews]

Sounds like you need a mathematical support group! *hug*

[@DoubleSidedSpoon]

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 :(

[@astha_yadav]

I love people who pour so much passion into their jobs He's so cute 😭

[@MichaelNavarrete87]

I say this professor is worth abelian

[@MathatAndrews]

Yet I don't even get paid half that!

[@Johnrich395]

Correction, you have proven a case where your math doesn’t work!

[@RuthvenMurgatroyd]

Lol😂

[@gonnahavemesomefun]

Imagine him on a first date in the audience of a magic show 😂😂😂

[@reu.mathematicsacademy8566]

May Abel rest in peace... having died at a very young age and did a significant contribution to the field of mathematics especially in topology and abstract algebra

[@dirtisbetterthandiamonds]

When math creeps up in your KZbin feed like tests on Friday in school ...

[@mahonrimartins1767]

The excitement in the class is so MIT

[@nebkay]

I always wanted to know the mathematic formula behind those 2 rings to know if it’s possible or not

[@carebear2883]

Yeah, good thing he was there cuz everybody thought it was actual magic 😲

[@stevenbravo5678]

How did I ever get this far in life without knowing that??

[@DC-zi6se]

Ah good old group theory. 😂

[@deananderson7714]

In this case we should be using ring theory lol

[@anuraagkumar978]

@@deananderson7714HAHA good one

[@philmccavity]

​@@deananderson7714nicest joke ever award goes to you, sir

[@Lucashallal]

Just the casual backwards arrow

[@y0uCantHandle]

Next time I am at a magic show: *_”haha … tHaT rInG’s NoT aBeLiAn!”_*

[@carebear2883]

And the magician will answer ‘dang ! He knows I’m not doing actual magic 😩´

[@jerrymahajan]

no way I'm getting algebraic topology shorts while procrastinating algebraic topology

[@itsmymillertime182]

You can't call something a fraud when it was never claimed to be true in the first place.

[@ricardodogfishtiger8582]

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, 😎❤️👹🤩🥸😍👍.

[@parkerbond9400]

Them: you'll never need algebraic topology in the real world This guy: took this personally

[@omargaber3122]

The videos that show the separation of the two episodes from each other on KZbin collect millions of like. , the videos that show the impossibility of that:-....🙄

[@samueljehanno]

Yeah

[@arkdotgif]

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

[@andybaldman]

I was captivated the whole time.

[@fishmongers]

Probably because you were abelian

[@anisbousclet5277]

When the two circles are linked the complement of the link is a wedge of a sphere with a torus, and if they are apart it’s a wedge of two spheres and two circles.

[@Pommes736]

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

[@sebgor2319]

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.

[@MathatAndrews]

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.

[@Pommes736]

@@MathatAndrews Thanks for letting me know.

[@Pommes736]

@@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.

[@sebgor2319]

@@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.

[@nicholashamblin3]

When is a knot not a knot. I find it fascinating that a knot displaces more negative space than a not knot

[@richardgraham2303]

You must be the life and soul of the party . Next week’s lesson for the kids is Santa doesn’t exist

[@hungrypanda4506]

When you ask your math professor for real world application of algebraic topology

[@donaterdoan3785]

Thanks, now you say it it appears obvious 😅 wasn't so sure before

[@josh8584]

You weren't sure if it's possible for objects to pass through each other? Are you 3?

[@Grizzly01]

@@josh8584 You were unable to detect the obviously humorous intent of the opening comment? Are you 2?

[@josh8584]

@@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]

@@josh8584 I misinterpreted nothing. You, however...

[@josh8584]

@@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.

[@dancl8674]

How really smart say, “I don’t know how they do the trick.”

[@yyaa2539]

Niels Abel is really proud 🎉

[@brandontylerburt]

And yet the rings still somehow come apart.

[@jac6362]

My five year old daughter and I were just discussing this the other day.

[@sambhusharma1436]

Want to learn algebraic topology 😢

[@eccentricaste3232]

Shhh

[@MathatAndrews]

We will be posting a series of lectures introducing algebraic topology in the upcoming months!

[@mickblock]

Today's lesson: How to make mathematics seem even more ridiculously pointless than it already seems.

[@DrFunkman]

Saw a comedy magician that opened with “I’m gonna start with a classic: The linking rings. As you can see, they’re already linked. That saves us a lot of time” before throwing the rings offstage

[@carebear2883]

Is there a video of that ?

[@magicalmiller]

It's Amazing Jonathan.

[@SeanReevesD]

​@@carebear2883lookup Amazing Jonathan

[@keithstarnes7009]

Magicians are great entertainers.. that's what they do. They create fun magical experiences and it dosent mater how it's done. The real magic is what you experienced and believed that you saw. We can't perform real magic but Magicians can give you the experience as though you have seen real magic. That's the real magic.

[@alphagamer7058]

one of those rare applications of algebraic topology that everyone understands:

[@IShould.veKnown]

That girl saying “ewwww” got me rolling 🤣

[@DerNesor]

You know we just had an argument about that last night.

[@MathatAndrews]

Leave it to math to settle an argument!

[@chasepalagi7675]

This is one of those "no math required" type problems! Glad he's having fun though!

[@nanaeK]

12k likes on this video wow! Good to see Topology getting the spotlight it deserves!

[@bkilpatr100]

I came to see a magic trick and got an Algebra lesson instead... Now I know what's a billion and what's not a billion.

[@brycehowell2560]

“Eureka!”😂

[@leigheverett4491]

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.

[@randallsmerna384]

SMH! The dude doesn't even know how much a billion is! 🙄

[@Mnaughten601]

Wish I had an abstract teacher like that.

[@chriswilliams8159]

"Why did the chicken cross the mobious strip??" - "To get to the same side...Bazingaa!"

[@pstrap1311]

So impressive that this guy is a math professor and an autistic surgeon. Respect.

[@nicolausteslaus]

Thanks Kermit the Frog!

[@lucasgroves137]

Good demo of why nearly all your learning will actually occur by you reading the book.

[@isaacdeutsch2538]

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 :)

[@mestarryeyed]

I strongly advice anyone interested in mathematics to watch his full knot theory course - it is the best one on youtube for sure, you'll like it, believe me

[@maxwellspeedwell2585]

What is the “real-life application of algebra??

[@stevenrowlands7731]

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

[@mistersneakypants3234]

Super cool something to near 0° K and they can suddenly have objects phase through them.

[@xenmaifirebringer552]

0 K, no ° please

[@Waverlyduli]

Suddenly I have the courage to relinquish my foolish belief in magic.

[@CheaddakerT.Snodgrass]

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!

[@Shedding]

I just paid 60k tuition for someone to tell me that two solid rings can not physically intertwine.

[@MarianKeller]

But he did prove that magicians will actually either need magic or trickery to seperate the rings...

[@danieljensen2626]

No way KZbin could have known I know what an abelian group is when recommending this short, but they got lucky this time.

[@geoffp1292]

I guess he doesn't believe in Santa Claus either...🎅

[@yournamehere1886]

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...

[@smuhhhh]

I got to the same answer, that they can't be pulled apart but more so by gut feeling.

[@davidmcbrayer6458]

My abstract algebra teacher in college was not like that

[@drumsonsnow]

Thanks! I always wanted to learn to do this trick!

[@ben_jammin242]

Started off as a joke, culminated in an idea for a project. Thanks!

[@ben_jammin242]

For circles in a 2D plane, is there a concise mathemical way of determining if the circles overlap, and to what extent they overlap? Specifically on a complex plane. Without measuring radii, distance... if possible. More, "based on principles?"

[@RuthvenMurgatroyd]

​@@ben_jammin242 How could it be possible to tell if two circles overlap without distance? Overlap is a question of the intersection between two sets of points. Without distance, how do you have a notion of position and hence overlap? How do you even define the circles in the first if you aren't given radii?

[@panapana4854]

Topology was soo long ago... Is the difference between the fundamental groups the number of holes?

[@MathatAndrews]

Essentially! We have a lecture on the fundamental group on the channel you can watch.

[@CLove511]

Thank goodness for math to explain in the most convoluted ridiculous way what anyone can figure out in 3 seconds of hands-on experience

[@Zaluuk]

I never realised you needed math to proof and know that solid objects can't pass through solid objects

[@danuttall]

At least one of the metal rings has a gap in it, so your closed loops have a different topology than that gimmick ring, which is effectively congruent to a wire.

[@andream61]

Algebraic topology is indeed magic

[@SKPetel]

can't wait to see you on pen and teller

[@lalitasharma6687]

I hate mathematics for this reason as chemistry major ( typology is really important in chemistry unfortunately 😢)

[@GWOAT]

Penn and Teller should just shout 'Abelion' at every trick!

[@kevinlister4610]

What's purple and commutes? . . . An abelian grape.

[@RaphAelGamingproductions]

thats exactly why people are amazed and call it magic

[@MisterNiles]

Science is provisional. I immediately tune out when I hear someone claiming to be a scientist calling something "impossible".

[@ryanfallon]

I'm sure this is hilarious, but as a musician this is beyond my comprehension, so I frown.

[@Jakeus101]

What! You’re telling me that this magic trick was FAKE all along????? I’m devastated.