Oxford University Mathematician REACTS to "Animation vs. Math"

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  • Опубліковано 8 тра 2024
  • Oxford Mathematician Dr Tom Crawford watches @alanbecker's "Animation vs. Math" for the very first time. Watch the original video here: • Animation vs. Math
    *The copyright of the original video is the property of Alan Becker. The footage is shown here under a fair usage policy.
    The "Gamma Function" video can be found here: • What is the Gamma Func...
    Watch Tom take a variety of high school maths exams from around the world on the designated playlist here: • Exams
    Watch Tom on 'Numberphile' here: • Parabolic Mirrors - Nu...
    Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow in Mathematics at St Edmund Hall: www.seh.ox.ac.uk/people/tom-c...
    For more maths content check out Tom's website tomrocksmaths.com/
    You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
    / tomrocksmaths
    / tomrocksmaths
    / tomrocksmaths
    Get your Tom Rocks Maths merchandise here:
    beautifulequations.net/collec...

КОМЕНТАРІ • 2,5 тис.

  • @TomRocksMaths
    @TomRocksMaths  9 місяців тому +2097

    Watch the original video by Alan Becker here: ua-cam.com/video/B1J6Ou4q8vE/v-deo.html

    • @gavros9636
      @gavros9636 9 місяців тому +17

      The infinite series at the end with the gamma function was summing up the areas of all even hyperspheres from 0 to infinity with radius 1.

    • @themathhatter5290
      @themathhatter5290 9 місяців тому +16

      Most of the rest of the channel is actually the series "Animator vs Animation", and concurrently "Animation vs Minecraft". There's an actual storyline involving the orange stick and friends.

    • @NinjaOnANinja
      @NinjaOnANinja 9 місяців тому +8

      Important math question.
      Very serious.
      You would agree, 100%.
      What kinda wine do you drink?
      I need a new flavor

    • @TheSpacePlaceYT
      @TheSpacePlaceYT 9 місяців тому +6

      By the way, Aleph is also at the end, similar to Aleph Nol (min infinity)

    • @lukasnullmeier7819
      @lukasnullmeier7819 9 місяців тому +4

      @@TheSpacePlaceYT It has a lot of dinosaur vibes.

  • @raeludiansa3654
    @raeludiansa3654 9 місяців тому +14906

    Orange learned math in 20 minutes and yet i cant even understand half of the things he learned after 12 years

    • @ralexcraft990
      @ralexcraft990 9 місяців тому +1095

      I mean, Orange is a being literally made of math (he’s vector animation as opposed to raster)

    • @CPU_99
      @CPU_99 9 місяців тому +517

      His name is "The Second Coming" or "TSC"

    • @THE_KIWI213
      @THE_KIWI213 9 місяців тому +72

      #relatable

    • @ralexcraft990
      @ralexcraft990 9 місяців тому +346

      @@CPU_99 we still call him orange, we know he’s called the second coming, but we’ll still call him orange.

    • @tinkeringtim7999
      @tinkeringtim7999 9 місяців тому +99

      Perhaps you need to enter an existential maths duel.

  • @marosynth6434
    @marosynth6434 9 місяців тому +4288

    Alan said in the comments of the animation that his lead animator is "the math nerd behind all this" so big props to him too

    • @danieljoybaguio7975
      @danieljoybaguio7975 9 місяців тому +172

      His name is Terkoiz, fyi.

    • @marosynth6434
      @marosynth6434 9 місяців тому +57

      @@danieljoybaguio7975 thanks! I was looking to see if I could find it but I couldn't, maybe I just missed it

    • @vanne-necashionofbread9095
      @vanne-necashionofbread9095 9 місяців тому +65

      ​@@danieljoybaguio7975wait THE Terkoiz from the Shock series?

    • @Shuriken255
      @Shuriken255 9 місяців тому +131

      @@vanne-necashionofbread9095 Yes, the animator who animated shock series works for Alan Becker full-time. :)

    • @darkerrex1442
      @darkerrex1442 9 місяців тому +21

      @@Shuriken255 Wait SHURIKEN?! How are you here, and happy to see ya!

  • @pillgrimm
    @pillgrimm 6 місяців тому +2067

    Seeing this dude get excited about numbers makes me so happy for some reason

    • @kelisegenti6887
      @kelisegenti6887 6 місяців тому +45

      Barely numbers at that point 😭

    • @eldust
      @eldust 5 місяців тому +18

      the same for me, it makes me happy, don't know why, but it makes me happy

    • @BLOOD_AND_INK
      @BLOOD_AND_INK 5 місяців тому +2

      Same *and I don’t know why*

    • @ethansanchez6267
      @ethansanchez6267 4 місяці тому +10

      It's just nice seeing someone geek out about the things they're passionate about when it's represented in a fun and interesting way.

    • @user-sh4jb2zf6r
      @user-sh4jb2zf6r 4 місяці тому +1

      This is exactly what i thought the same thing. But i saw the original video (animation vs maths). What i loved about the video was that it brought a huge number of reactions and comments. The highest i have seen in recent times. i think i saw 45 M views. This shows that there are still plenty of humans who care about actual things that matter. That are not just pure entertainment

  • @hotshot2457
    @hotshot2457 8 місяців тому +932

    I think this is what students who struggle with math need. Interactive math thats fun and makes something thats hard be more fun to keep people motivated and entertained so that they can pay attention and learn in the process

    • @ringding1000
      @ringding1000 7 місяців тому +55

      As a former math tutor who worked with students who were behind the curve, math is always far more fun when you teach it with fun practical applications. The math becomes real for them.
      I would have shown this animation to them in a heartbeat to show the playfulness that is math.

    • @sargentgullible2794
      @sargentgullible2794 6 місяців тому +18

      ​@@ringding1000 I would like to mention that showing off some little video-game function that uses real-world math could be an effective way too, not a math teacher or teacher in general by any means.
      Like, I can just see these kids question how the actual heck that game pulled it out of their ass. Folks, real math at work here, not magic tech haha.

    • @amadeux5471
      @amadeux5471 5 місяців тому +10

      It’s going to be so fun trying to figure out how the fight makes sense lol

    • @nolifeprobably
      @nolifeprobably Місяць тому

  • @WRSomsky
    @WRSomsky 9 місяців тому +4123

    Did you notice when stick-man was "talking" to e^i\pi, he pulled out a multiplication and put it between the e and the i\pi, and was leaning over the end of the pi covering it up a bit... it spelled out "exit"... 😁

  • @TheTrueBongoKnight
    @TheTrueBongoKnight 9 місяців тому +5656

    What impresses me as a non-mathematician is that all of the mathematicians say every single thing in the video is correct (In terms of the equations and such)

    • @sidsdabest2416
      @sidsdabest2416 9 місяців тому +372

      That's cos alans team had a math nerd
      I don't remember who

    • @quackin12152
      @quackin12152 9 місяців тому +86

      @@sidsdabest2416lead animator?

    • @paper2222
      @paper2222 9 місяців тому +283

      not really, in 10:50, he actually disagrees* that θr represents the circle, and that it should've been re^iθ
      *he meant that he's not sure if it's 'mathematically correct', to put in his own words

    • @TableTurner921
      @TableTurner921 9 місяців тому +174

      @@paper2222 he didn't say it was wrong... just said he didnt know for sure

    • @rajkayne2516
      @rajkayne2516 9 місяців тому +14

      @@TableTurner921damn u just sent that a few minutes ago i and when I clicked on this comment that was sent 49 seconds ago I didn’t even notice

  • @shinypikagaming
    @shinypikagaming 6 місяців тому +470

    I love how you can always see the exact moment he goes from lecturing about mathematical principles to remembering he’s talking about a stickman fighting the personification of these principles…

  • @omegaschatterbox8366
    @omegaschatterbox8366 7 місяців тому +413

    i have not understood a single word this entire video but i enjoyed every minute of it, watching him get excited for each new part of it
    iconic

    • @MrBarun1981
      @MrBarun1981 5 місяців тому +1

      The word ok?

    • @edwinlevin7959
      @edwinlevin7959 2 місяці тому

      ​@@MrBarun1981 what?

    • @Varksterable
      @Varksterable Місяць тому

      @@MrBarun1981 He starts "Hello Maths fans". I'm sure OP understood that, too.
      And yet he said he has 'not understood a single word...' and you feel you have to point out to him that's logically incorrect.
      People generally communicate using natural language. (Barely that on in the internet.) Not formal mathematical logic. And guess which came first, BTW?
      Only an almost psychotically pedantic person would bother to point out a logical flaw in what is a totally acceptable and well understood idiom.
      And yes, I'm an utterly pedantic mathematician too. Otherwise I wouldn't have bothered to point this out to you either.
      I only do so because such comments as yours simply add to the pointless tedium of the general grey-noise that is the internet, and I feel you should be made aware of this.

  • @lainothefirst
    @lainothefirst 9 місяців тому +4573

    My favorite part of this animation is when Orange shoots his infinity function gun at the big mech, and the mech uses a Limit on its right hand to turn the infinity blast into an Integral as its main weapon. Like, the final boss having an integral as its weapon hits me particularly hard cause when I was learning them for the first time, it definitely felt like a boss fight

    • @username-jb2wp
      @username-jb2wp 9 місяців тому +91

      his name is second coming

    • @lailenobtea6415
      @lailenobtea6415 9 місяців тому +82

      @@username-jb2wp you forgot the "the"

    • @andrewr8461
      @andrewr8461 9 місяців тому +130

      this feels like it should be a troll comment like “my favorite part was when morbius said it was morbin time then morbed all over the place”

    • @lightning_11
      @lightning_11 9 місяців тому +45

      I agree, all of Calculus felt like a boss fight, but especially integrals!

    • @sherisehung4594
      @sherisehung4594 9 місяців тому +13

      At what grade do you guys learn integrals? I have already learned somewhat basic differentiation like the chain rule, quotient rule, multiplication, etc and i just started 10th grade last week
      edit: yall i just learned integration, its a real challenge. i need to cover kinematics by this semester too cuz i have IGCSE on June :') wish me luck

  • @endernightblade1958
    @endernightblade1958 9 місяців тому +2328

    one thing that’s very easy to miss: 24:11 in the background, alongside zeta, phi, and delta, there is Aleph. hard to see, but it’s there! (tip: it’s huge)

    • @yyattt
      @yyattt 9 місяців тому +135

      Ah thanks! I saw it but couldn't make out the shape.

    • @KunalKumar-pc4vg
      @KunalKumar-pc4vg 9 місяців тому +130

      I thought it was pretty easy to see. Seems like it wasn't to everyone

    • @kidredglow2060
      @kidredglow2060 9 місяців тому +62

      yea i noticed it, sad that he didnt notice it though

    • @clearyhorizon
      @clearyhorizon 9 місяців тому +12

      It is Aleph number

    • @yyattt
      @yyattt 9 місяців тому +79

      @@KunalKumar-pc4vg I guess it depends on what you're watching on. I normally watch on a tv and there the boundary of the aleph is invisible. I could only see it because of the texture inside it. When I rewatched on my phone its clear.

  • @boomaletslearntogether
    @boomaletslearntogether 7 місяців тому +437

    As a mathematics teacher, I always dream of explaining math concepts in an interesting and amazing way. Let me say, Alan Becker have done wonderful work in this regard, even though words are not enough to express my feelings. In my review/reaction video (animation vs math in Urdu Hindi), I tried to explain this masterpiece in Urdu/Hindi for roughly 1 billion people in Pakistan and India!

    • @BEASTangel130-gg8ph
      @BEASTangel130-gg8ph 7 місяців тому +8

      I am so sorry to be that guy, but it’s Alan Becker*

    • @boomaletslearntogether
      @boomaletslearntogether 7 місяців тому +11

      @@BEASTangel130-gg8ph my mistake thanks for highlighting

    • @EliteCameraBuddy
      @EliteCameraBuddy 4 місяці тому +2

      same i thought math was boring but Alan Becker proved me wrong

    • @safiyaarif5112
      @safiyaarif5112 4 місяці тому +1

      Oh my God I need to watch it in urdu now because I don't know math at all( like complex one) would love to see a reaction in urdu ❤

  • @loganator3565
    @loganator3565 8 місяців тому +83

    16:12 I just noticed this here! The function gun that TSC made is f(x)=9tan(πx). If you plug in e^iπ or e^-iπ as x, it cancels out to 0! This is beyond clever!

    • @erenyeager6251
      @erenyeager6251 3 дні тому

      Bro can u be my math tutor I beg u me in class 9

  • @Lorlic1138
    @Lorlic1138 9 місяців тому +6239

    Alan Becker did a commentary on this. According to him, one of his team members is a math guy and pitched this idea to him. He said that he had to just trust that the guy knew the maths because he had no idea what any of these equations meant. Also the white zone is the imaginary plain, thats why it rotates 90 degrees when they enter it.
    *edit* After much deliberation in the comments, I have decided that the white zone is in fact "the place where the numbers that aren't numbers but we use them anyway."

    •  9 місяців тому +156

      complex plane*
      Edit: he said imaginary plain and I corrected it into complex plane

    • @pirilon78
      @pirilon78 9 місяців тому +58

      ​@imaginary*....

    •  9 місяців тому +112

      @@pirilon78 there's no such thing as an imaginary plane

    • @hologrammaster2468
      @hologrammaster2468 9 місяців тому +31

      @ hilarious.

    •  9 місяців тому +18

      @@hologrammaster2468 it wasn't supposed to be funny

  • @mr.random4647
    @mr.random4647 9 місяців тому +501

    17:06 “That is one badass orange stick figure.”
    Buddy,, you have no idea how right you are

    • @jimmyg3835
      @jimmyg3835 9 місяців тому +9

      yea

    • @thunderbeast6512
      @thunderbeast6512 9 місяців тому +13

      his name is the second coming

    • @sandrinecestmoi892
      @sandrinecestmoi892 8 місяців тому

      ​@@thunderbeast6512here is an undetailed description of TFC: an orange stick figure

    • @EthanYZX
      @EthanYZX 8 місяців тому +19

      *The second coming casually killing a red stickman who wanted to destroy all UA-cam*

    • @curious.8
      @curious.8 8 місяців тому +8

      @@thunderbeast6512yeah but we would just call him orange normally as a nickname

  • @nighton8223
    @nighton8223 7 місяців тому +127

    Although this is the only math related animation on Alan’s channel, he is arguably one of the most creative animators in the world; using nothing but stick figures who don’t speak no less.
    This franchise began back in 2006 when Alan was only 17 years old and made a video called “Animator vs. Animation” on Newgrounds just for fun.
    Now the series as a whole has over five billion views on UA-cam and is still going strong with 24+ million subscribers.
    Alan Becker is the living embodiment of hard work always pays off for those who pursue their passion with all of their being.

    • @internetgas3263
      @internetgas3263 4 місяці тому

      Yes, getting a reaction video from one, who is in the Matter, helps very mutch. -i is a bixxx 😂

    • @vitaliitomas8121
      @vitaliitomas8121 4 місяці тому +3

      There are physics now too

    • @nighton8223
      @nighton8223 Місяць тому +1

      @vitaliitomas8121 His animators are surprisingly knowledgeable about math and physics. They could've gone on to become physicists and engineers but chose to help Alan animate his stick figures and their fun adventures. Respect.

  • @NickAndriadze
    @NickAndriadze 8 місяців тому +91

    The amount of tiny details and maths Easter Eggs, be it simple or compex maths, present in this 12 minute long animation is genuinely insane and this video made me realize just how much I missed from my initial watch.

  • @percivul1786
    @percivul1786 9 місяців тому +1380

    Actually, the function gun is firing the equivalent 1 of the prime series or just "1". When it's hitting the various Euler's Identity targets, they have their values changed from -1 to 0, which cancels them out. This is why you see a 0 form above the targets that Orange hits with the function gun.

    • @dread_nought
      @dread_nought 9 місяців тому

      shut up

    • @megauser8512
      @megauser8512 9 місяців тому +19

      Actually no, it is firing f(pi) = 9 tan(pi) = 0 at all of the series.

    • @percivul1786
      @percivul1786 9 місяців тому +84

      @@megauser8512 Re read what I wrote. ;)
      I said it's firing the EQUIVALENT of 1, which is what you'd need to cancel out the -1 from the Euler entities. I could have perhaps worded it differently, but the outcome is the same. Zero.

    • @pocarski
      @pocarski 9 місяців тому +27

      @@percivul1786 Orange took a gamble with the function gun, there was no way of knowing if its result will be added to the target or multiplied by it. Had it been additive, he'd be shooting blanks

    • @kirbylover_6
      @kirbylover_6 9 місяців тому +24

      @@pocarskihis point was it WAS additive, adding one and changing the -1 that e^i(pi) is, to a 0. At least, I think so

  • @Unconventionalway739
    @Unconventionalway739 9 місяців тому +1550

    He condensed 6000 years of civilization into 15 minutes😂

    • @jennyfisher3765
      @jennyfisher3765 9 місяців тому +89

      Or 13 years of school

    • @GoofyAhhBoxy
      @GoofyAhhBoxy 9 місяців тому +94

      @@jennyfisher376513 years of pain 😢

    • @WisidX
      @WisidX 9 місяців тому +26

      @@GoofyAhhBoxy Pretty much the best years of your life lol

    • @komet011
      @komet011 9 місяців тому +52

      @@WisidX depends for who

    • @roeital5504
      @roeital5504 9 місяців тому +5

      ​@@jennyfisher3765you mean 12

  • @haydencarn8737
    @haydencarn8737 7 місяців тому +15

    He was like "Hello math fans" and I felt very un-addressed.

  • @adampatterson2195
    @adampatterson2195 7 місяців тому +20

    I just like how he's smiling the entire time. He's really enjoying this video and I delight in how happy he is.

  • @Nitram4392
    @Nitram4392 9 місяців тому +1316

    I used this video as an example to explain to why in fantasy settings with learnable magic (D&D for example) not all people are wizards.
    Technically everyone can use math, you don't have to be born with it, but most people would do not be able to do it fast and accurate enought to fight with it.

    • @nevi5158
      @nevi5158 9 місяців тому +52

      That's so cool

    • @pepsy3085
      @pepsy3085 9 місяців тому +30

      makes sense

    • @somerandomdude7815
      @somerandomdude7815 9 місяців тому +76

      yea, most people can dabble in it (like the magic initiate feat) but not a lot a people can make it their job

    • @typhoonzebra
      @typhoonzebra 9 місяців тому

      Another reason is that maths is usually taught to anyone willing to listen. It has no practical or ethical considerations when choosing to take a student. Wizardry is like if maths was a weapon. People would be very cautious when choosing apprentices.

    • @britishneko3906
      @britishneko3906 9 місяців тому +2

      nukes

  • @rikschaaf
    @rikschaaf 9 місяців тому +603

    It's interesting that the video explained math without the x variable from algebra. The only variable used was theta, to be able to find pi and describe circle angles.

    • @TheSourovAqib
      @TheSourovAqib 9 місяців тому +57

      Also r for the circle and n for series

    • @roeital5504
      @roeital5504 9 місяців тому +23

      ​@@TheSourovAqibunlike r, x is used for any value, r is only for radius

    • @aquaregia5948
      @aquaregia5948 9 місяців тому +6

      Well yeah, but you won't be able to use any of it unless you use actually math variables like x,y , a ,b ( not sure if that's what you're trying to say but oh well)😊

    • @zachrodan7543
      @zachrodan7543 9 місяців тому +14

      @@aquaregia5948 the thing about variables is that they are completely arbitrary. arguably, the only reason why we use x instead of 🙂 is because emoji didn't exist yet when variables were first introduced.

    • @aquaregia5948
      @aquaregia5948 9 місяців тому +7

      @@zachrodan7543 No because x is easier to draw that, no way in hell am I drawing an emoji

  • @keddidastinky
    @keddidastinky 6 місяців тому +17

    21:06 the reason why he put the mult. sign there cause it spelled "exit", he wanted to get back to his normal world.

  • @davidcrs3043
    @davidcrs3043 3 місяці тому +6

    The fact that the way e dealt with the infinity gun is by using a limit and making an integral out of it is such a small but incredible detail

  • @niello5944
    @niello5944 9 місяців тому +269

    10:50 The θr here is supposed to represent the arc length, not necessarily the whole circle.

    • @nanamacapagal8342
      @nanamacapagal8342 9 місяців тому +7

      THAT'S WHAT IT WAS??

    • @RadeticDaniel
      @RadeticDaniel 9 місяців тому +8

      Also circle points in polar coordinates, the line integral expression for the circumference and the base f(r, theta) for circle area in polars.

    • @Kernel15
      @Kernel15 9 місяців тому +3

      @@nanamacapagal8342 yeah, s = rθ

    • @melon_zombie_on_fire
      @melon_zombie_on_fire 7 місяців тому +1

      ​@@Kernel15∅ø how to write?

    • @Kernel15
      @Kernel15 7 місяців тому

      @@melon_zombie_on_fire just google "theta"

  • @daniellemurnett2534
    @daniellemurnett2534 9 місяців тому +509

    Alan has a bit of a tendency to reinvent the genre of stick-fight animations. Going all the way back to the original Animator Vs. Animation, the concept was a really novel idea. Then AVA 4 expanded the scope to a ludicrous degree, and AVA 5 was just an all-out spectacle. But every now and then him and his team play more within their bounds and still come up with *really* creative and imaginative representations of the sticks fighting with various things. Videogames, UA-cam, now even math itself. A very impressive series in my opinion, especially given how quite old it is.

  • @spanishchair
    @spanishchair 9 місяців тому +28

    I think a misunderstanding I've seen from a lot of mathematicians about the θ r with the circle at 10:45 of this video is they assume that the equation is θr = the circle but later in the animation when they show the θ / r = π I think it shows that the θ and r are properties OF the circle not that they are equal to the circle so I think it's still sort of mathematically correct.

    • @iz723
      @iz723 Місяць тому +2

      Or, arc length

  • @statelyelms
    @statelyelms 8 місяців тому +24

    I think the coolest thing about the Animation vs. Math video, aside from recognizing some of the functions etc thanks to the hellish courses (thanks calc. 2, for being required for my diploma..), is that it will DEFINITELY be the definitive starting point for many, many careers into math. It made it seem like a world of infinite complexity and coolness instead of what school shows typically, which is drier. It literally puts animation into the world of mathematics. That's just awesome to think about.

  • @lazarussevy2777
    @lazarussevy2777 9 місяців тому +150

    θr is the arc length, so by adjusting θ, Orange can choose what point on the circle to land at.
    Also, as a math and music nerd, I haven't noticed enough attention to the epic masterpiece of a soundtrack to the animation! Just listen to the tension rising in the music as Orange divides by zero! Awesome!

    • @mite3959
      @mite3959 9 місяців тому +3

      *TSC

    • @harnageaa
      @harnageaa 9 місяців тому +14

      yeah the music was god tier, made the animation shine. without the music it would not be as special

    • @AlexFha_29
      @AlexFha_29 4 місяці тому

      Orange is not his name, his name is "The Second Coming" but it's "TSC" so ok

  • @tobenamed610
    @tobenamed610 9 місяців тому +148

    Love his determination to not see how e uses i to turn itself into an imaginary number and go to an imaginary dimension, and all the cool tricks they did with that concept

    • @lettucep1ay
      @lettucep1ay 9 місяців тому +10

      also love the determination to ignore all the instances of TSC and e getting negatived

    • @tobenamed610
      @tobenamed610 9 місяців тому

      @@lettucep1ay FR, this man has determination like no other

    • @NoriMori1992
      @NoriMori1992 7 місяців тому

      Where? Looked like he figured it out just fine to me.

    • @simhadrig1552
      @simhadrig1552 6 місяців тому +1

      And the function gun shoots out graph of tan(x)

    • @onnaest3542
      @onnaest3542 5 місяців тому +2

      What are yall so pressed about it for😭

  • @Voidbear_FNaF_and_Undertale
    @Voidbear_FNaF_and_Undertale 8 місяців тому +45

    I thought I was decent at math but Alan's video showed me otherwise, so I'm watching people who actually understand what's going on's reaction

    • @phoenixbugg7199
      @phoenixbugg7199 4 місяці тому +6

      Dude I was lost after basic math. 😅 Hope you got further than me. If not we both liked it.

  • @ChocoCookieXI
    @ChocoCookieXI 8 місяців тому +16

    12:35 a split second of n=0 but it fired 2 things and went to n=2

    • @erauirusu5658
      @erauirusu5658 8 місяців тому +1

      I notice that 2

    • @wannacry6586
      @wannacry6586 7 місяців тому

      The things it fires are the result of the series at the respective n

  • @gravitysalad7891
    @gravitysalad7891 9 місяців тому +269

    Animation vs math makes me so happy, I loved stick animation videos as a kid and I'm willing to bet there are going to be a lot of kids today that were bored taking algebra or geometry that now might want to learn more about mathematics just to understand what's going on in the video. It's a great way to spark interest in math. Also I love how the progression of the video starts at simple arithmetic and builds up through algebra, geometry, trig, calculus and a small peak into the further beyond at the end. Even the sound design is amazing!

    • @SupYB
      @SupYB 8 місяців тому +1

      indeed but alan becker is most well-known for his animation vs minecraft videos
      i just wanna say that if i may pls

    • @painlesskun3959
      @painlesskun3959 8 місяців тому

      ​@@SupYBand animation vs animator series (cant forget that)

  • @aguyontheinternet8436
    @aguyontheinternet8436 9 місяців тому +341

    10:42 that isn't representing the circle. It's just taking the radius of the circle and multiplying by the angle of the line. It is strange, but it seems to be a useful way to play with properties of the circle and it's angles at the same time. You set r to 1 and you can see the angle, you set theta to 0 and just see what happens when you vary the size of the circle.

    • @nmr975
      @nmr975 9 місяців тому +65

      I think this is supposed to be a representation of the circumference of a (partial) circle. This means that theta is to be understood in radian.

    • @mr.bacteria7148
      @mr.bacteria7148 9 місяців тому +11

      As niklasreich3959 said , (θ/2π = Partial Circumference/2πr)-> (Partial Circmference = θr)

    • @mikeschieffer2644
      @mikeschieffer2644 9 місяців тому +25

      s = r*theta where s = arc length, r = radius of a circle, and theta is the central angle measured in radians.

    • @frimi8593
      @frimi8593 9 місяців тому +1

      I figured fit was meant to be polar coordinates, but in the wrong order for some reason

    • @ppremnaikk
      @ppremnaikk 9 місяців тому +9

      It is using the l/r = theta property for an arc of a circle. You can see how if he puts different values for rtheta, different arcs form around the circle, rtheta is not representing the circle but if we give it a value, it represents an arc around the circle

  • @abdamit
    @abdamit 6 місяців тому +6

    I like to listen to intelligent/educated people talk. I don't understand pretty much any of this, but it seems amazing to me, that there are people out there, that can see these *magical glyphs* and say: "Ah yes, I know that!" seems really mind blowing to me

  • @ballerbeau
    @ballerbeau 8 місяців тому +5

    Dantdm if he stopped gaming in 2012

  • @tyronorxy5646
    @tyronorxy5646 9 місяців тому +20

    After Orange has befriended e^iπ, he tried explaining to e^iπ that he wanted to know how to leave "Mathland".
    Orange tried to draw a door, but e^iπ didn't understand, so Orange spelled "exit" by putting the multiplication sign into e^iπ spelling: exiπ .
    The complicated math at the end was e^iπ helping Orange leave, as Orange can't jump between dimensions just by multiplying himself by i.

  • @TheScorpion0081
    @TheScorpion0081 9 місяців тому +193

    Something interesting Alan's team did was the hammers. The Second Coming (orange stick figure) split pi into 2 hammers and there was some confusion about that. To be fair, looking at it strickly like that, it doesn't make sense. But looking at how he created those waves, it makes more sense to look at the broken halves of pi as the letter "T" instead. So, as given, it would be "COS over T(ime)" and "SIN over T(ime)."

    • @jonouyang
      @jonouyang 9 місяців тому +13

      i thought it was tau, given its ties to pi already

    •  9 місяців тому +2

      @@jonouyangsame i thought it was tou

    • @aquaregia5948
      @aquaregia5948 9 місяців тому +3

      I think it being tau makes more sense but also less of sense, it's kinda weird, because whereas it would connect tau and pi, the two heated sides of the tau vs pi debate, but it also makes it look like tau=pi/2, which simply isn't true.

    •  9 місяців тому +1

      @@aquaregia5948 tau + pi + pau

    • @NeoTher_
      @NeoTher_ 9 місяців тому +11

      To me he was just splitting the pi symbol in two lmao

  • @bruhmcbro2704
    @bruhmcbro2704 8 місяців тому +4

    I love seeing someone so clearly passionate about math find joy in this

  • @melon_zombie_on_fire
    @melon_zombie_on_fire 7 місяців тому +5

    I love the way TSC draws the circle "⭕" like this. And also that scene where the Gamma function (all of them) use different ammunitions.

  • @paulsmith410
    @paulsmith410 9 місяців тому +108

    I love that moment you start talking about the unit circle right before TSC discovers and starts to play with it. This has so many blink and you miss it moments. The expansions does start at n = 0 but quickly increases each time Euler's monster shoots out a term.

    • @kurankeikun
      @kurankeikun 9 місяців тому

      Yes, had to rewind as well just to make sure and it was there, n=0

    • @melon_zombie_on_fire
      @melon_zombie_on_fire 7 місяців тому

      Yes, n=0 is actually there, it increases for =n for how many times it shoots it. Ex: 2 terms shot= n=2

  • @stellatedhexahedron6985
    @stellatedhexahedron6985 9 місяців тому +25

    For the record, the math nerd who spearheaded this was terkoiz, a lead animator on Alan Becker's team.

    • @typhoonzebra
      @typhoonzebra 9 місяців тому +12

      Whoa really? Terkoiz is still animating? He's more than just a team member, he's a veteran. He ran Stickpage with Shock and Failed Containment while Alan was still working on AvA 2.

  • @spirit5923
    @spirit5923 4 місяці тому

    It's amazing to me that people are still finding his channel, i used to watch his stuff ages ago and it feels like he's the only UA-camr left from that era of people i watched

  • @zcustard
    @zcustard 6 місяців тому

    Glad you reviewed this, I wouldn't have stood a chance without you. It started to just look like random symbols near the end. I'm amazed you could spot the concepts in fractions of a second.

  • @mariaeterna.
    @mariaeterna. 9 місяців тому +186

    First time for me watching it, as well! As a non-mathematician, it made it me glad that you explained the more complex concepts! Super fun, plus amazing animation! 👏

  • @warriorsabe1792
    @warriorsabe1792 9 місяців тому +109

    At the very end, iirc I saw something about that final formula being for a 2n-dimensional hypersphere, so it started as a point at 0d, then a circle at 2d, and added dimensions until it had infinite dimensions, then was turned to -1 to send him home like a portal of some kind. Also, did you catch the enormous aleph made of the complex plane at the end?

  • @witherr
    @witherr 8 місяців тому +2

    This was really cool! Thanks for explaining all this!

  • @ChromeTectonics
    @ChromeTectonics 11 днів тому +1

    I love how this video can give you just an immense sense of accomplishment - taking pride in understanding what concepts are being utilized in Orange's fights the further on the video gets. Even if you don't understand a lot of the insane math ideas that are used here (like me), even that can give you a "bruh moment" kind of discovery. I can only imagine the amount of people who have watched this and said "WOW, WHAT?!"

  • @RED-sl2le
    @RED-sl2le 9 місяців тому +19

    This is what I’ve been looking for for so long, genuine first impressions reaction from a professional in the field of the subject in question

  • @archivist17
    @archivist17 9 місяців тому +114

    My 10yo son (who was already an Alan Becker fan) showed me this. I definitely missed a few things on the first view, and i appreciate your reactions to explain things new and forgotten (I don't believe I've even given the Gamma Function a single thought since 1984 😆)

    • @thunderbeast6512
      @thunderbeast6512 9 місяців тому

      didn't ask

    • @scratch-agunner
      @scratch-agunner 9 місяців тому

      @@thunderbeast6512you are 5. you have the name thunderbeast. the world doesnt revolve around you. what does revolve around you is these: 🖕

    • @Raishi688
      @Raishi688 8 місяців тому

      and who asked you?
      @@thunderbeast6512

    • @erikpasquale9902
      @erikpasquale9902 8 місяців тому

      u aint the man bruh@@thunderbeast6512

    • @Qwerty-ky4ek
      @Qwerty-ky4ek 8 місяців тому +1

      @@thunderbeast6512 get better at maths nub

  • @Santiago160
    @Santiago160 4 місяці тому

    Dude youre such a math nerd and i love it... I havent touch anything math related for years and it was really interesting seeing someone who knows ton more than me to explain the later parts of the video

  • @isuapig6705
    @isuapig6705 8 місяців тому +1

    I love this guy! I understand literally everything and none of what he’s saying at the exact same time

  • @hypertec650
    @hypertec650 9 місяців тому +36

    For (theta)r part, I think the relation it had with the circle is meant to be the arc length, since as he was turning the little bar in theta, it was giving values of the arc length

  • @samwilde8311
    @samwilde8311 9 місяців тому +19

    My favorite thing about the animation is that I like to think of Euler's identity as Euler himself existing as a mathmatical god in this universe

  • @hoyitsmiguel
    @hoyitsmiguel 5 місяців тому +3

    They just uploaded an "Animation vs Physics" video an hour ago!

  • @Resetium
    @Resetium 4 місяці тому

    The little detail of Aleph walking off in the background at the end is very neat.

  • @lordgiacomos2551
    @lordgiacomos2551 9 місяців тому +74

    Yeah, I don't know if I would recommend this animation as a way to teach math (though some of the visuals would be very good standalone), but for math and animation lovers, the visual representations and how they are being manipulated are very interesting, as there is a forced creativity through constraint by having to tell a story purely through interaction with numbers.
    This forced creativity also explains why e^(i*pi) comes up so early. Good storytelling needs a conflict of some sort, and rather than just having orange aimlessly messing around for the entire length, Becker creates a conflict through mystery early on in the animation which becomes a recurring antagonistic force that Orange has to figure out and overcome through further experimentation.

  • @abhay45452
    @abhay45452 5 місяців тому

    Every time they hit with minus direction changes
    It's crazy detailing 😳👏👏

  • @mickmockedmack
    @mickmockedmack 7 місяців тому +6

    11:30 I'm not sure if this has yet to be said, but rθ is by definition the arc length of a circle. It was showing the perimeter of the circle at the same time.

  • @pauldavies7746
    @pauldavies7746 9 місяців тому +18

    This was the first time I'd seen the animation. Very clever and a great reaction to help digest the detail.

  • @omidtarabavar2576
    @omidtarabavar2576 9 місяців тому +5

    It was so much fun watching you explain the math in the video, thank you!

  • @The21stGamer
    @The21stGamer 7 місяців тому +1

    The amount of thematic interpretations the video can have is honestly incredible, especially ironic given it's meant to be cold, absolute calculations and yet can be analysed like any other text.

  • @irokosalei5133
    @irokosalei5133 6 місяців тому +1

    Euler's identity escaping is a metaphor for the moment of illumination that fades away but triggers interest and insight

  • @thewierdsquad7584
    @thewierdsquad7584 9 місяців тому +10

    I would absolutely love to see this guy react to more of alan’s animations

  • @Princess-xv8dd
    @Princess-xv8dd 9 місяців тому +78

    With the power series of e^iPi it did start at n=0. It’s just that when you paused it was n=2 because it had already fired 3 times. The ammo its using are the expressions in the power series of e^iPi

    • @user-vs6vd1xt3p
      @user-vs6vd1xt3p 9 місяців тому +15

      He already realised that at 13:49

  • @AlbedoisAll
    @AlbedoisAll 8 місяців тому +1

    I barely understood the math you explained but I loved seeing your gleeful reactions and it made the rewatch of AvM so much better! 😂

  • @martiddy
    @martiddy 4 місяці тому

    Aleph symbol at the end represented as a giant made of the fabric of reality was genius!

  • @googon6515
    @googon6515 9 місяців тому +2

    this is my first time to see someone that really happy to share about math

  • @brickleyyard4966
    @brickleyyard4966 9 місяців тому +5

    I learned more from this video than any teacher at school could ever have done

  • @submarinemagnet7965
    @submarinemagnet7965 8 місяців тому

    I like the fact that when he smacked the point with both sine and cosine it started to produce a time delayed wave

  • @Eukleides89
    @Eukleides89 8 місяців тому +2

    The cheeky infinities adding dimension was VERY cool. Sneaky linear stuff in there (that class, which also had differential equations, kicked my ass too hard not to remember it).

  • @PhilippeAllardRousse
    @PhilippeAllardRousse 9 місяців тому +4

    I was waiting for mathematician UA-camrs to react to this video. Thank you.

  • @iamthemouse4483
    @iamthemouse4483 9 місяців тому +7

    Thanks for making this, and for making your channel. I genuinely feel like I've learned a lot about mathematics thanks to this video.

  • @not-so-obvious_autism777
    @not-so-obvious_autism777 4 місяці тому

    I blanked out whenever Tom explained the maths, I just couldn’t wait to see his face when Numberzilla comes in

  • @taylorgarrett793
    @taylorgarrett793 5 місяців тому +1

    reason why this is so well done is cause alan beckers editior ( i think ) is a massiave maths nerd
    so he was the one that made sure it was all done correctally

  • @Grakalor
    @Grakalor 9 місяців тому +6

    The reaction vids that double the length of the original video are always the greatest

  • @Joshua-jk1om
    @Joshua-jk1om 9 місяців тому +28

    Im so impressed in your ability to mentally see these complex math principles in your head and rationalize them. Even the Factorials. That threw me off, even trying to solve for why n=2 was a thing.

    • @thecomputerguy6335
      @thecomputerguy6335 6 місяців тому +1

      It did start at n = 0, it then sent off two shots at the stickman meaning it went from 0 to 1 to 2 before he paused, it didn't start there but enumerated to there

  • @garethchampion8406
    @garethchampion8406 7 місяців тому

    11:19 rθ is what you use to fine the arc length of a circle (given that θ is in radians). You can find it in the MF19 formula sheet

  • @jagoda3797
    @jagoda3797 6 місяців тому +3

    I need this guy as my maths teacher

  • @pranavkarthik9250
    @pranavkarthik9250 9 місяців тому +9

    yoo i just realised this detail at 20:50 he adds an multiplication sign which makes the euilers formula look like "exit" !!!!

  • @nification7883
    @nification7883 9 місяців тому +32

    As a more tactile, "throw stuff at wall type," this kind of thing I think would have helped me to "feel" maths more, and thus could have sparked an interest if I had been exposed to it when younger. Even now just watching this quick video I can feel neurons trying to make connections, unfortunately a lack of prerequisite knowledge is limiting what I could get form this but, such is life.

    • @erikpasquale9902
      @erikpasquale9902 8 місяців тому +4

      looks like someone majored in english

    • @CommentPositionInformer
      @CommentPositionInformer 5 місяців тому +3

      ​@@erikpasquale9902
      Wut?

    • @raiisleep
      @raiisleep 4 місяці тому +1

      @@CommentPositionInformer I'm assuming it's because they used the word prerequisite.

  • @zessonateacloud
    @zessonateacloud 2 місяці тому

    I don't understand even half of what he says but it's nice to see him having fun with the video😂

  • @paulkepshire5056
    @paulkepshire5056 7 місяців тому +1

    I feel that the "little devil" (e^iπ) pops up so quickly because: 1) the devil is in the details, and 2) e is nearly omnipresent in maths.

  • @SquareWaveHeaven
    @SquareWaveHeaven 9 місяців тому +7

    17:19 I like how the waves from the "infinity gun" wrap around from positive to negative infinity, shown by them wrapping around vertically!

  • @riceeater112_
    @riceeater112_ 9 місяців тому +4

    At 13:30 the summation shown starts at n=2 because the original n=0 summation "shot out" the n=0 and n=1 terms already.

  • @DhruveDahiya
    @DhruveDahiya 9 місяців тому

    You just gained a new subscriber pls do more of this this was fun!!! ❤

  • @caster863
    @caster863 6 місяців тому +1

    Alan is just showing off his math and animation skills

  • @frostthegrey
    @frostthegrey 9 місяців тому +12

    this guy has to be the coolest professor in the world and you cannot change my mind

  • @OskarCzechowicz-OmniMusician
    @OskarCzechowicz-OmniMusician 9 місяців тому +5

    7:30 love how the lil guy was hit with a minus sign and all it just reversed him

  • @AFriend21
    @AFriend21 8 місяців тому

    Thank you for Explain most of that I been wonder for a while now

  • @Kalanioccc
    @Kalanioccc 4 місяці тому

    my 4 year old son and i watched that animation for the first time last night. more of a science guy but i thought it was really fun and well done. i enjoyed your take on it as well!

  • @thorinteague989
    @thorinteague989 9 місяців тому +43

    Alan Becker, we've been watching him for a decade+ in the animation community (he's totally brilliant). I was expecting some physical fighting by 3:24, but we'll see what develops.

    • @thorinteague989
      @thorinteague989 9 місяців тому +8

      7:01 there's the Alan Becker I know and love!

    • @bungercolumbus
      @bungercolumbus 9 місяців тому +9

      His entire team is amazing. He's got a lot of dudes from the stickman community working with him on these master pieces.

  • @gekko3743
    @gekko3743 9 місяців тому +6

    Your UA-cam videos have been (for some reasons) in my recommendations lately and they are amazing. Feels very genuine and enriching to watch. You are definitely my favourite 2012 Justin Bieber x Math Genius Punk crossover math channel. No seriously, great work and always a delight to watch!

  • @Mr1Senk
    @Mr1Senk 5 місяців тому +2

    My man Alan just ussually upload Animation vs Physics

  • @leonardorolingstella8554
    @leonardorolingstella8554 4 місяці тому

    Thanks to this explanation I just realized a hidden pun: e^i π gets more powerful when it switches to its _power series_

  • @mechaboy95
    @mechaboy95 9 місяців тому +3

    Euler's identity is sometimes referred to as 'the little monster', hence why e^i(pi) is the angry little trouble-maker in the animation
    when the corner adds up and the little monster jumps through, thats moving between the real and complex worlds, you see this further as at 20:00 they jump back to the real world, but -roots cannot exist in the real world, so it all breaks. then multiply's by i, shifting back into the complex world
    the series starts at 2 because he gets hit by the 4 from and character
    when he grabs the infinity sign it's like grabbing the infinity 'stone', giving him ultimate power

  • @jackedmondson1373
    @jackedmondson1373 9 місяців тому +7

    The specific function he makes is one that takes what he is shooting to 0, in the world of this fight defeating it

  • @Evil_watermelon_cat_real
    @Evil_watermelon_cat_real 5 місяців тому

    Watching this while your tired is an experience

  • @skethy2333
    @skethy2333 8 місяців тому +2

    20:53 this spells "exit" orange is covering a part of pie so that it looks like a "T"