Animation vs. Math

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  • เผยแพร่เมื่อ 29 ต.ค. 2024

ความคิดเห็น • 62K

  • @alanbecker
    @alanbecker  ปีที่แล้ว +51393

    To be clear, my lead animator is the math nerd behind all this. And as always, watch DJ and I talk about it: th-cam.com/video/dRj3X7IFCjY/w-d-xo.html

    • @harryalbertsonsevilla9183
      @harryalbertsonsevilla9183 ปีที่แล้ว +1008

      Woah
      Edit: i was about to say first but i remember i have a brain.
      Edit 2: Wow many likes anyway here is a recipe for brownies and uh idk just make a brownie here it is: 10 tablespoons (142 grams) unsalted butter
      1 cup (200 grams) granulated sugar
      1/3 cup (67 grams) packed light brown sugar
      3/4 cup plus 2 tablespoons (88 grams) unsweetened cocoa powder, sifted
      1/2 teaspoon vanilla extract
      2 large eggs plus 1 egg yolk
      1 tablespoon corn syrup
      2/3 cup (85 grams) all-purpose flour
      1 tablespoon cornstarch
      1/4 teaspoon salt
      For the frosting:
      1/2 cup heavy cream
      1 1/2 cups (255 grams) semisweet chocolate chips
      Wilton Rainbow Chip Crunch or mini M&M’s, sprinkles, or other candy

    • @Emirhanoleo78
      @Emirhanoleo78 ปีที่แล้ว +168

      Yoo pogchamp

    • @harryalbertsonsevilla9183
      @harryalbertsonsevilla9183 ปีที่แล้ว +70

      @@Emirhanoleo78hi

    • @romanthespeedrunner5020
      @romanthespeedrunner5020 ปีที่แล้ว +54

      hi alan

    • @Darkixz-ball
      @Darkixz-ball ปีที่แล้ว +43

      1 minute lol

  • @cykwan8534
    @cykwan8534 ปีที่แล้ว +11218

    *THE MATH LORE*
    0:07 The simplest way to start -- 1 is given axiomatically as the first *natural number* (though in some Analysis texts, they state first that 0 is a natural number)
    0:13 *Equality* -- First relationship between two objects you learn in a math class.
    0:19 *Addition* -- First of the four fundamental arithmetic operations.
    0:27 Repeated addition of 1s, which is how we define the rest of the naturals in set theory; also a foreshadowing for multiplication.
    0:49 Addition with numbers other than 1, which can be defined using what we know with adding 1s. (proof omitted)
    1:23 *Subtraction* -- Second of the four arithmetic operations.
    1:34 Our first *negative number!* Which can also be expressed as *e^(i*pi),* a result of extending the domain of the *Taylor series* for e^x (\sum x^n/n!) to the *complex numbers.*
    1:49 e^(i*pi) multiplying itself by i, which opens a door to the... imaginary realm? Also alludes to the fact that Orange is actually in the real realm. How can TSC get to the quantity again now?
    2:12 Repeated subtraction of 1s, similar to what was done with the naturals.
    2:16 Negative times a negative gives positive.
    2:24 *Multiplication,* and an interpretation of it by repeated addition or any operation.
    2:27 Commutative property of multiplication, and the factors of 12.
    2:35 *Division,* the final arithmetic operation; also very nice to show that - and / are as related to each other as + and x!
    2:37 Division as counting the number of repeated subtractions to zero.
    2:49 Division by zero and why it doesn't make sense. Surprised that TSC didn't create a black hole out of that.
    3:04 *Exponentiation* as repeated multiplication.
    3:15 How higher exponents corresponds to geometric dimension.
    3:29 Anything non-zero to the zeroth power is 1.
    3:31 Negative exponents! And how it relates to fractions and division.
    3:37 Fractional exponents and *square roots!* We're getting closer now...
    3:43 Decimal expansion of *irrational numbers* (like sqrt(2)) is irregular. (I avoid saying "infinite" since technically every real number has an infinite decimal expansion...)
    3:49 sqrt(-1) gives the *imaginary number i,* which is first defined by the property i^2 = -1.
    3:57 Adding and multiplying complex numbers works according to what we know.
    4:00 i^3 is -i, which of course gives us i*e^(i*pi)!
    4:14 Refer to 3:49
    4:16 *Euler's formula* with x = pi! The formula can be shown by rearranging the Taylor series for e^x.
    4:20 Small detail: Getting hit by the negative sign changes TSC's direction, another allusion to the complex plane!
    4:22 e^(i*pi) to e^0 corresponds to the motion along the unit circle on the complex plane.
    4:44 The +1/-1 "saber" hit each other to give out "0" sparks.
    4:49 -4 saber hits +1 saber to change to -3, etc.
    4:53 2+2 crossbow fires out 4 arrows.
    4:55 4 arrow hits the division sign, aligning with pi to give e^(i*pi/4), propelling it pi/4 radians round the unit circle.
    5:06 TSC propelling himself by multiplying i, rotating pi radians around the unit circle.
    5:18 TSC's discovery of the *complex plane* (finally!) 5:21 The imaginary axis; 5:28 the real axis.
    5:33 The unit circle in its barest form.
    5:38 2*pi radians in a circle.
    5:46 How the *radian* is defined -- the angle in a unit circle spanning an arc of length 1.
    5:58 r*theta -- the formula for the length of an arc with angle theta in a circle with radius r.
    6:34 For a unit circle, theta / r is simply the angle.
    6:38 Halfway around the circle is exactly pi radians.
    6:49 How the *sine and cosine functions* relate to the anticlockwise rotation around the unit circle -- sin(x) equals the y-coordinate, cos(x) equals to the x-coordinate.
    7:09 Rotation of sin(x) allows for visualization of the displacement between sin(x) and cos(x).
    7:18 Refer to 4:16
    7:28 Changing the exponent by multiples of pi to propel itself in various directions.
    7:34 A new form!? The Taylor series of e^x with x=i*pi. Now it's got infinite ammo!? Also like that the ammo leaves the decimal expansion of each of the terms as its ballistic markings.
    7:49 The volume of a cylinder with area pi r^2 and height 8.
    7:53 An exercise for the reader (haha)
    8:03 Refer to 4:20
    8:25 cos(x) and sin(x) in terms of e^(ix)
    8:33 -This part I do not understand, unfortunately...- TSC creating a "function" gun f(x) = 9tan(pi*x), so that shooting at e^(i*pi) results in f(e^(i*pi))= f(-1) = 0. (Thanks to @anerdwithaswitch9686 for the explanation -- it was the only interpretation that made sense to me; still cannot explain the arrow though, but this is probably sufficient enough for this haha)
    9:03 Refer to 5:06
    9:38 The "function" gun, now "evaluating" at infinity, expands the real space (which is a vector space) by increasing one dimension each time, i.e. the span of the real space expands to R^2, R^3, etc.
    9:48 log((1-i)/(1+i)) = -i*pi/2, and multiplying by 2i^2 = -2 gives i*pi again.
    9:58 Blocking the "infinity" beam by shortening the intervals and taking the limit, not quite the exact definition of the Riemann integral but close enough for this lol
    10:17 Translating the circle by 9i, moving it up the imaginary axis
    10:36 The "displacement" beam strikes again! Refer to 7:09
    11:26 Now you're in the imaginary realm.
    12:16 "How do I get out of here?"
    12:28 -Don't quite get this one...- Says "exit" with 't' being just a half-hidden pi (thanks @user-or5yo4gz9r for that)
    13:03 n! in the denominator expands to the *gamma function,* a common extension of the factorial function to non-integers.
    13:05 Substitution of the iterator from n to 2n, changing the expression of the summands. The summand is the formula for the volume of the *n-dimensional hypersphere* with radius 1. (Thanks @brycethurston3569 for the heads-up; you were close in your description!)
    13:32 Zeta (most known as part of the *Zeta function* in Analysis) joins in, along with Phi (the *golden ratio)* and Delta (commonly used to represent a small quantity in Analysis)
    13:46 Love it -- Aleph (most known as part of *Aleph-null,* representing the smallest infinity) looming in the background.
    Welp that's it! In my eyes anyway. Anything I missed?
    The nth Edit: Thanks to the comment section for your support! It definitely helps being a math major to be able to write this out of passion. Do keep the suggestions coming as I refine the descriptions!

    • @ArsakaD1
      @ArsakaD1 ปีที่แล้ว +508

      hey, are you my teacher?

    • @abandonedhhhv
      @abandonedhhhv ปีที่แล้ว +254

      Nice lore.

    • @fishoreo
      @fishoreo ปีที่แล้ว +145

      I will be waiting for your part 2!

    • @rekttt_7374
      @rekttt_7374 ปีที่แล้ว +118

      Please continue dude, till end. I confused about the end of the video.

    • @RaiNBowShine999
      @RaiNBowShine999 ปีที่แล้ว +41

      Do everything pls.

  • @Whittyyyy
    @Whittyyyy ปีที่แล้ว +13757

    0:07 introduction to numbers
    0:11 equations
    0:20 addition
    1:24 subtraction
    1:34 negative numbers
    1:40 e^i*pi = -1, euler's identity
    2:16 two negatives cancellation
    2:24 multiplication
    2:29 the commutative property
    2:29 equivalent multiplications
    2:35 division
    2:37 second division symbol
    2:49 division by zero is indeterminate
    3:05 Indices/Powers
    3:39 One of the laws of indices. Radicals introcuced.
    3:43 Irrational Number
    3:50 Imaginary numbers
    3:59 i^2 = -1
    4:01 1^3 = -i = i * -1 = ie^-i*pi
    4:02 one of euler's formulas, it equals -1
    5:18 Introduction to the complex plane
    5:36 Every point with a distance of one from the origin on the complex plane
    5:40 radians, a unit of measurement for angles in the complex plane
    6:39 circumference / diameter = pi
    6:49 sine wave
    6:56 cosine wave
    7:02 sin^2(θ) + cos^2(θ) = 1
    7:19 again, euler's formula
    7:35 another one of euler's identities
    8:25 it just simplifies to 1 + 1/i
    8:32 sin (θ) / cos (θ) = tan (θ)
    9:29 infinity.
    9:59 limit as x goes to infinity
    10:00 reduced to an integral
    11:27 the imaginary world
    13:04 Gamma(x) = (x-1)!
    13:36 zeta, delta and phi
    13:46 aleph

    • @MyBoy69969
      @MyBoy69969 ปีที่แล้ว +310

      30 likes and no replies let me fixed that😊

    • @Barney_Is_your_Friend.
      @Barney_Is_your_Friend. ปีที่แล้ว +144

      Yep the pretty much it

    • @xvie_z2900
      @xvie_z2900 ปีที่แล้ว +301

      Man this makes me wanna learn math more

    • @RuriYoshinova
      @RuriYoshinova ปีที่แล้ว +100

      alan should put this in the video.
      I need to know what types TSC is using

    • @Alexa-iv7kr
      @Alexa-iv7kr ปีที่แล้ว +91

      ​@@xvie_z2900fax I wanna understand everything in this video

  • @3blue1brown
    @3blue1brown ปีที่แล้ว +37267

    Utterly delightful!

    • @gagannnnn
      @gagannnnn ปีที่แล้ว +667

      yo legit thought you collabed on this or smthn haha

    • @mr.tesseract6854
      @mr.tesseract6854 ปีที่แล้ว +256

      Hi there Mr. Pi

    • @big_numbers
      @big_numbers ปีที่แล้ว +291

      Yoooo it's the math guy

    • @voidbreak4756
      @voidbreak4756 ปีที่แล้ว +196

      i KNEW 3b1b would comment

    • @donaldputin6390
      @donaldputin6390 ปีที่แล้ว +34

      Hello

  • @ConstintanAdrinonMornan
    @ConstintanAdrinonMornan 2 หลายเดือนก่อน +441

    7:53 that boy really just said "DOMAIN EXPANSION: MATH IS INCREDIBLY CONFUSING"

    • @pimpabootejettanut122
      @pimpabootejettanut122 17 วันที่ผ่านมา +5

      @@ConstintanAdrinonMornan Let me help making more exciting name: “Domain Expansion: Euler’s Circle” XD

    • @diegoazahelvargasclavel5310
      @diegoazahelvargasclavel5310 16 วันที่ผ่านมา +2

      Alan:domain expansión, funny math clases

    • @angelaphsiao
      @angelaphsiao 10 วันที่ผ่านมา +2

      10:33 Orange: Cursed Technique- MATH CANNON

    • @klaouchie
      @klaouchie 9 วันที่ผ่านมา

      Holy cow I thought the same thing!

    • @Thalles-t8j
      @Thalles-t8j 2 วันที่ผ่านมา

      This video is to destroy the sanity of a person who is in the 6th grade

  • @WifevfzBsucker
    @WifevfzBsucker ปีที่แล้ว +775

    the actual math:
    0:06 1
    0:13 equations
    0:18 addition, positive integers
    0:34 base ten, 0 as a place holder
    0:44 substitution
    1:20 subtraction
    1:31 0
    1:34 -1, preview of e^(iπ) = -1
    2:10 negative integers
    2:16 double negative makes a positive
    2:20 multiplication
    2:28 factors
    2:33 division
    2:48 division by 0 error
    3:03 powers
    3:23 x^1 = x , x^0 = 1
    3:30 x^(-1) = 1/x
    3:35 fractional exponents = roots
    3:42 √2 is irrational
    3:48 √(-1) = i
    3:54 complex numbers
    4:00 e^(iπ) returns, i*i*i = i*(-1) = i*e^(iπ)
    4:15 Euler's formula: e^(iθ) = cosθ + i*sinθ
    4:54 e^(iθ) rotates an angle of θ
    5:12 complex plane
    5:33 unit circle
    5:38 full circle = 2π radians
    5:55 circle radii
    6:36 π
    6:41 trigonometry
    7:17 Euler's formula again
    7:33 Taylor series of e^(iπ)
    7:44 circle + cylinder
    8:22 Euler's formula + complex trigonometry
    8:29 sinθ/cosθ = tanθ, function f(x) = 9*tan(πx)
    9:57 limits, integrals to handle infinity
    13:01 factorial --> gamma function
    13:04 n-dimensional spheres
    13:31 zeta, phi, delta, aleph

  • @marcusscience23
    @marcusscience23 ปีที่แล้ว +2349

    as an nerd myself, here's the actual math:
    0:06 1 as the unit
    0:13 equations
    0:18 addition, positive integers
    0:34 decimal base, 0 as a place holder
    0:44 substitution
    1:09 simplifying equations, combining terms
    1:20 subtraction
    1:30 0 as the additive identity
    1:34 -1, preview of e^(iπ) = -1
    2:10 negative integers
    2:16 changing signs
    2:20 multiplication
    2:28 factors
    2:33 division
    2:48 division by 0 error
    3:03 powers
    3:23 x^1 = x , x^0 = 1, x^(-1) = 1/x
    3:35 fractional exponents = roots
    3:42 √2 is irrational
    3:48 √(-1) = i
    3:54 complex numbers
    4:00 e^(iπ) returns, i*i*i = i*(-1) = i*e^(iπ)
    4:15 Euler's formula: e^(iθ) = cosθ + i*sinθ
    4:54 e^(iθ) rotates an angle of θ
    5:12 complex plane
    5:33 unit circle
    5:38 full circle = 2π radians
    5:55 circle radii
    6:36 π
    6:41 trigonometry
    7:17 Euler's formula again
    7:33 Taylor series of e^(iπ)
    7:44 circle + cylinder
    7:51 (-θ) * e^(iπ) = (-θ) * (-1) = θ
    8:22 Euler's formula + complex trigonometry
    8:29 sinθ/cosθ = tanθ, function f(x) = 9*tan(πx)
    9:01 π radians = half turn
    9:57 limits, integrals to handle infinity
    10:15 translation
    13:01 factorial --> gamma function, n-dimensional spheres
    13:31 zeta, phi, delta, aleph
    (comment by MarcusScience23)

  • @TailsMiles249
    @TailsMiles249 ปีที่แล้ว +2571

    The reason why I love this series so much isn't just because of the animation and choreography, but because rules of how the world works are established and are never broken. Regardless of how absurd fight scenes play out there's a careful balance to ensure that not a single rule is broken.

    • @dragoknight589
      @dragoknight589 ปีที่แล้ว +148

      Absolutely. The limitations create room for playing around within them. Combat feels just as much of a battle of wits, finding the right application for a tool, as a contest of strength.

    • @dr.unventor
      @dr.unventor ปีที่แล้ว +56

      I know! It’s incredible how he can just add world building in and make it so believable

    • @captainsprinkles6557
      @captainsprinkles6557 ปีที่แล้ว +14

      You clearly haven't seen the Minecraft series yet have you? "Fall damage goes brrrrr"

    • @dragoknight589
      @dragoknight589 ปีที่แล้ว +58

      @@captainsprinkles6557 Fall damage is present, and it’s relatively consistent. It’s just less severe for rule of cool.

    • @captainsprinkles6557
      @captainsprinkles6557 ปีที่แล้ว +12

      @@dragoknight589 Less severe? Man they jump off multiple cliffs

  • @JuanLovesGaming
    @JuanLovesGaming 2 หลายเดือนก่อน +81

    9:59 that WAAAAAAAAA was personal😭😭😭

    • @leolacic9442
      @leolacic9442 หลายเดือนก่อน +2

      ha ha

    • @PaulaAistine
      @PaulaAistine วันที่ผ่านมา

      Why does he look like a transformer tho?

    • @CaizerAstillero
      @CaizerAstillero 23 ชั่วโมงที่ผ่านมา

      10:02

  • @pawles8091
    @pawles8091 ปีที่แล้ว +1542

    This is actually insane. Having just graduated as a math major and honestly being burnt out by math in general, being able to follow everything going on in this video and seeing how you turn all the visualizations into something epic really made my day. Can’t help but pause every few minutes. GET THIS MAN A WHOLE ASS STUDIO.

    • @analt2164
      @analt2164 ปีที่แล้ว +84

      He has an entire crew working with him

    • @acogex
      @acogex ปีที่แล้ว +56

      He does have a WHOLE ASS BUILDING

    • @TTVtreekoVr
      @TTVtreekoVr ปีที่แล้ว +5

      Yeah😂

    • @pvpcraft2081
      @pvpcraft2081 ปีที่แล้ว +3

      I can only understand a bit.

    • @aimonnwood6957
      @aimonnwood6957 ปีที่แล้ว +7

      ...and at the end, in comes the zeta function

  • @Fletchable
    @Fletchable ปีที่แล้ว +16913

    It speaks to Alan and his team’s talent on a number of levels that they can even make me feel sympathy for Euler’s number.

    • @F2PAlius
      @F2PAlius ปีที่แล้ว +383

      Now all we need is natural logs in minecraft vs animation 😅

    • @Shirou230
      @Shirou230 ปีที่แล้ว +203

      He is on another dimension, not on another level anymore

    • @possessedpicklejar4762
      @possessedpicklejar4762 ปีที่แล้ว +181

      Finally, somebody said what it’s called so I can look up what the antagonist actually is.

    • @Fletchable
      @Fletchable ปีที่แล้ว +205

      Ironically enough, this is the first time I’ve utilized my calculus knowledge outside of school hahaha

    • @lvlupproductions2480
      @lvlupproductions2480 ปีที่แล้ว +105

      @@FletchableEven though I use lot’s of this stuff daily (I’m a programmer) I’d literally never heard it called Euler’s number before this animation lol.

  • @heyameitayar8958
    @heyameitayar8958 ปีที่แล้ว +27950

    If math lessons were like this, math would for sure be everyone’s favorite subject
    Edit: well, this blew up fast. Thanks!

    • @naufaljb8204
      @naufaljb8204 ปีที่แล้ว +748

      Math is beauty, if not you just not understand it very well

    • @aliaakari601
      @aliaakari601 ปีที่แล้ว +768

      @@naufaljb8204 People have opinions, not saying you're wrong but, People have opinions.

    • @billcosta
      @billcosta ปีที่แล้ว

      ​@@naufaljb8204 maybe you're good at math, but you suck at english

    • @The_SillyOne1324
      @The_SillyOne1324 ปีที่แล้ว +130

      ​@@aliaakari601yeah

    • @RMsVoiceOversandVlogs535
      @RMsVoiceOversandVlogs535 ปีที่แล้ว +78

      @@aliaakari601pople

  • @Muikoxwq
    @Muikoxwq 2 หลายเดือนก่อน +46

    And can you imagine it all started with the number 1?

  • @jesseweber5318
    @jesseweber5318 ปีที่แล้ว +25183

    If you could turn this format into a video game, you'd have an incredibly powerful tool to teach kids math.

    • @Pepplay33
      @Pepplay33 ปีที่แล้ว +646

      imagine

    • @jesseweber5318
      @jesseweber5318 ปีที่แล้ว +833

      Just to add to this I went and learned eulers identity is after wondering why E to pi I was so crazy

    • @ayuballena8217
      @ayuballena8217 ปีที่แล้ว +157

      @@jesseweber5318me too, i had no idea

    • @rickt.3663
      @rickt.3663 ปีที่แล้ว +74

      Like minecraft?

    • @TheGuyWhoComments
      @TheGuyWhoComments ปีที่แล้ว +87

      @@rickt.3663 you mean, Minecraft Education edition?

  • @blobtuna236
    @blobtuna236 ปีที่แล้ว +844

    Here's my interpretation of each scene as a second-year undergrad:
    0:00 Addition
    1:23 Subtraction
    1:40 Euler's identity (first sighting)
    2:25 Multiplication
    2:36 Division
    2:48 Division by zero
    3:05 Positive exponents
    3:29 Zero and negative exponents
    3:40 Fractional exponents and square roots
    3:50 Imaginary unit, square root of negative one
    4:00 Euler's identity (second sighting)
    4:44 a + -a = 0
    5:18 The complex plane
    5:34 The unit circle
    5:38 Definition of a radian
    5:59 Polar coordinates
    6:39 Definition of pi
    6:51 Trigonometry and relationship with the unit circle
    7:12 Phase shift
    7:19 Euler's identity (third sighting)
    7:35 Taylor series expansion for e^x, x=iπ
    7:50 Volume of a cylinder (h = 8)
    8:25 Hyperbolic expansion for sine and cosine
    8:30 f(x) = tan(x)
    9:28 Infinite domain
    10:00 Calculus boss fight
    11:00 Amplitude = 100
    11:30 Imaginary realm?
    12:10 TSC befriends Euler's identity (wholesome)
    12:38 i^4 = 1
    13:05 Taylor series expansion for e^x, x=π
    13:06 Gamma function, x! = Γ(x+1)
    13:25 Reunion with Zeta function, delta, phi and Aleph Null
    Definitely my favourite Animator vs. Animation video yet, and I'm not just saying that because I'm a math student. It really says something about Alan's creativity when he can make something like mathematics thrilling and action-packed. Top notch!

    • @creepergod3692
      @creepergod3692 ปีที่แล้ว +14

      Needs a pin!

    • @existing24
      @existing24 ปีที่แล้ว +46

      you forgot aleph at the end, it’s really big but sort of hidden in the background for being transparent

    • @bananaeclipse3324
      @bananaeclipse3324 ปีที่แล้ว +4

      @@existing24As it’s the biggest infinity!

    • @DreamerTheWolfFox
      @DreamerTheWolfFox ปีที่แล้ว +12

      @@bananaeclipse3324 aleph is not the biggest infinity. its a set of cardinal numbers that represent the different types of infinities. Aleph_0 is the number of whole numbers, aleph_1 is the number of real numbers and so on.

    • @Travisevilman13-oc4nj
      @Travisevilman13-oc4nj ปีที่แล้ว +3

      I dont see the a + -a one

  • @Zoms101
    @Zoms101 ปีที่แล้ว +1860

    The sound design here is simply masterful, and makes the whole thing feel physical and *very* satisfying.

    • @CYCLOLCYC2223
      @CYCLOLCYC2223 ปีที่แล้ว +5

      It shows how the stick figure adapt and try to minimize at 1:15

    • @MelonMan667
      @MelonMan667 ปีที่แล้ว

      True

    • @Whois_me111
      @Whois_me111 ปีที่แล้ว

      I don’t understand the last part

    • @Leonardo-ht5jk
      @Leonardo-ht5jk ปีที่แล้ว

      It sounds like a movie, its awesome

    • @Derpy_Crow
      @Derpy_Crow ปีที่แล้ว

      I’m 699 like

  • @Skylander_3090
    @Skylander_3090 23 วันที่ผ่านมา +16

    the aleph-null cameo at the end was good.

  • @SunnyKimDev
    @SunnyKimDev ปีที่แล้ว +270

    Some Small Details
    5:29 this shows The Second Coming is approximately 1.65 units tall. An average adult male is 1.6~1.8 meters tall. It appears the math space is in SI units, m being the SI unit of length. This also shows TSC is about 165cm tall, or 5' 5".
    7:45 a circle is represented as x^2 + y^2 = r^2. Inserting a pi turns it into the area of a circle, pi*r^2. Inserting 8 turns it into the volume of a cylinder, 8*pi*r^2.
    9:01 since f(x) is 9*tan(x) and tangent turns angle into the steepness of a line, it can latch onto the unit circle.
    9:40 f(dot) represents the tangent function at a given point (throughout this video, we can see a dot used as an arbitary number on the number line), and f(inf) represents the tangent function over the entire number line [0, +inf). An entire number line can be seen as a span of an unit vector, thus each shot increases the dimension of the span. This also implies that TSC is a being that is four-dimensional.
    9:57 Sigma + limit = integral. If you try to derive the definite integral using the sum of rectangles method, you will eventually transform lim(sigma(f(...)) into integral(g(...)).
    10:04 Calculating an integral of a function can be seen as getting the total (polar) area between the function and the number line. Thus the Integral Sword attacks with R2.
    11:31 welcome to the imaginary realm. Hope you like it here.

    • @therookiegamer2727
      @therookiegamer2727 ปีที่แล้ว +12

      Main character in this is TSC (the second coming) but neat analasis

    • @Foxella2010
      @Foxella2010 ปีที่แล้ว +9

      TSC is 5’ 5 hmmmmm may be useful information not gonna lie

    • @powerstar8862
      @powerstar8862 ปีที่แล้ว +3

      ​@@Foxella2010Big brain 200 iq much?

    • @lemonOspade
      @lemonOspade ปีที่แล้ว +12

      when a stick man is taller than you

    • @adt4864
      @adt4864 ปีที่แล้ว +1

      TSC is measured in pixels, not meters

  • @bengoschy5366
    @bengoschy5366 ปีที่แล้ว +2347

    Can we just appreciate how TSC went from basic addition to the far end of Calculus in under twenty minutes. That is a hell of a learning curve.

  • @AlexisCisa
    @AlexisCisa 2 หลายเดือนก่อน +6

    Stickman 0:00 1 0:06 = 0:14 + 0:19 2 0:19 3 0:28 4 0:31 5 6 7 8 9 and 0 0:32 - 1:20 -1 1:35 eiπ 1:39 ieiπ 1:49 -2 2:12 -3 2:12 × 2:24 ÷ 2:363:04 cube 2D 3:08 small cube 2D 3:113:14 cube 3D and 4²+¹ 3:15 cube 4D and 4²+¹+¹ 3:17 cube 5D and 4²+¹+¹+¹ 3:20 4⁵ 3:22

    • @AlexisCisa
      @AlexisCisa 2 หลายเดือนก่อน +1

      4⁵-¹ 3:25 4⁵-¹-¹ 3:25 4⁵-¹-¹-¹ 3:26 4⁵-¹-¹-¹-¹ 3:26 4¹ 3:28 4⁰ 3:28 4-¹ and ¼ 3:30 4¹/¹ 3:36 4¹/¹+² 3:37 √4 3:39

    • @AliHishamNoonecares
      @AliHishamNoonecares 14 วันที่ผ่านมา

      I support you brother keep going

  • @9robbby78
    @9robbby78 ปีที่แล้ว +4604

    This feels like it should win some kind of award. Not even joking this is gonna blow up in the academic sphere. People are gonna show this to their classes from Elementary all the way through college. I don't know if people realize just how powerful of a video you've created. This is incredible. You've literally collected the infinity stones. This is Art at its absolute peak. Bravo.

    • @66LordLoss66
      @66LordLoss66 ปีที่แล้ว +124

      This reminds me that in Geography Class, the teacher showed us Yakko's World Country Song from _Animaniacs._
      I guarantee Maths teachers will be showing this to their students for decades to come.

    • @CathYeng1
      @CathYeng1 ปีที่แล้ว +7

    • @_suzuki1357
      @_suzuki1357 ปีที่แล้ว +8

      I agree!

    • @JustTwoSpaces
      @JustTwoSpaces ปีที่แล้ว +8

      That’s exactly what I was thinking

    • @Plaguestris
      @Plaguestris ปีที่แล้ว +7

      That’s actually true

  • @jandor6595
    @jandor6595 ปีที่แล้ว +881

    Some of my favourite things from this masterpiece I noticed:
    1:39 e^iπ = -1
    1:49 Multiplying by i probably can be represented here as moving to another dimention (of complex numbers) as they're located in a real one
    2:37 The division here for a÷b=c is interpreted as "c is how many times you must subtract b from a to get 0" which easily explains later why you can't divide by 0
    3:08 The squared number is literally interpreted as a square-shaped sum of single units
    4:12 The e^iπ tries to run away to another dimention again by multiplying itself by i but TSC hits it with another i so i×i=-1 returns it back to real numbers
    4:16 The e^iπ extends itself according to Euler's formula
    4:19 TSC gets hit with minus so he flips
    4:22 The reason why e^iπ rides a semicircle comes from visual explaining of e^iπ=-1. e^ix means that you return the value of a particular point in complex plane which you get to through a path of x radians counterclockwise from 1. Therefore e^iπ equals to -1 because π radians is exactly a semicircle. When the e^iπ sets itself to 0 power (e^i0) it returns back to 1 through a semicircle because well 1 is zero radians apart from 1.
    4:46 When "+1" and "-1" swords cross they make a "0" effect
    4:48 The e^iπ makes a "-4" sword which destroys TSC's "+1" sword making it zero, and as a result e^iπ is now holding "-3". Then the same thing repeats with "-3" and "-2".
    4:53 The "2×2=" bow shoots fours
    4:55 As I explained above, e^(iπ/4) means you move exaclty π/4 radians (quarter semicircle) counterclockwise
    5:06 When you multiply a number by i in complex plane you just actually rotate the position vector of this number 90° counterclockwise, that's where a quarter circle came from
    5:39 Each segment here is a radian, a special part of a circle in which the length of the arc coincides with the length of the radius (it's also shown at 5:46); the circle has exactly 2π radians which you can visually see is about 6.283
    6:38 Visual explanation of π radians being a semicircle
    6:48 Geometric interpretation of sinusoid
    7:08 TSC once again multiplies the sine function by i which rotates its graph 90°
    7:36 The sum literally shoots its addends so the value of n increases as the lower ones have just been used; you may also notice that every next addend gets the value of n higher and higher as well as extends to its actual full value when explodes
    7:45 TSC multiplies the circle by π so he gets the area and can use it as shield
    8:04 TSC uses minus on himself so he comes out from another side
    8:17 The sinusoid as a laser beam is just priceless
    9:02 Multiplying the radius by π here is interpreted as rotating it 180°
    9:23 +7i literally means 7 units up in complex plane
    9:38 Here is some kind of math pun. TSC shoots with infinity which creates the set of all real numbers (ℝ). With every other shot he creates another set which represents as ℝ², ℝ³ etc. It also means span (vector) in linear algebra and with every other ℝ this vector receives another dimention (x₁, x₂, x₃ etc.).
    9:58 The sum monster absorbs infinity (shown as limit) and receives an integral from 0 to ∞
    13:34 The golden ratio (φ) when approaching e^iπ takes smaller and smaller steps which shorten according to the golden ratio (each step is about 1.618 shorter than the previous one)
    13:46 Aleph (ℵ) represents the size of an infinite set so is presented here as enormously sized number

    • @plyrocea
      @plyrocea ปีที่แล้ว +59

      now i respect u too

    • @Exxtream
      @Exxtream ปีที่แล้ว +32

      same, he probably took a long time to write this since it has 26 lines in it, huge respect

    • @plyrocea
      @plyrocea ปีที่แล้ว +16

      @@Exxtream and i am doing math homewwork rn , related to circles and R
      :D

    • @geoffryaycardo
      @geoffryaycardo ปีที่แล้ว +4

      Amazing

    • @t.r.i.g.u.n
      @t.r.i.g.u.n ปีที่แล้ว +2

      @@plyrocea You know that he copy pasted it right?

  • @thebigcheese1153
    @thebigcheese1153 ปีที่แล้ว +4863

    I love how he goes from learning basic operations to university level maths

    • @shariecebrewster5962
      @shariecebrewster5962 ปีที่แล้ว +46

      Evening at home myc myself

    • @ferferarry5242
      @ferferarry5242 11 หลายเดือนก่อน +34

      We are learning most of this in 9th grade

    • @meusauc
      @meusauc 11 หลายเดือนก่อน

      @@ferferarry5242 key phrase: “most of”

    • @idk-lz4nl
      @idk-lz4nl 11 หลายเดือนก่อน +22

      bruh, you guys think this is uni-level math... damn

    • @monstermaker73
      @monstermaker73 11 หลายเดือนก่อน +54

      ​@idk-lz4nl Most of this is high school level, though the stuff in the last quarter is more common in universities.

  • @SonnySolentLover
    @SonnySolentLover 21 วันที่ผ่านมา +8

    1:01 I feel sorry for my guy as he lonely

  • @krissyai
    @krissyai ปีที่แล้ว +571

    TSC discovered the entire realm of calculus in under 15 minutes, seriously one of the coolest parts was when the Euler monster derived from e caught the shot infinity in a limit, and using the 0-∞ integral, that seriously was like a woah moment
    Another thing i dont see anyone pointing out is aleph null as a behemoth due to it being the smallest infinity, i loved every bit of this, its my third time rewatching

    • @HiveEclipse001
      @HiveEclipse001 ปีที่แล้ว +22

      It’s a behemoth because even if it’s the smallest infinity, it’s still infinity. Not finite. And that means…. IMPOSSIBLY big. So yeah. Behemoth.

    • @andrew_fla
      @andrew_fla ปีที่แล้ว +18

      i like your funny words magic man

    • @xkryde
      @xkryde ปีที่แล้ว +3

      I thought I was wrong when I thought aleph-null for sec there, thanks for confirmation

  • @VFacts
    @VFacts ปีที่แล้ว +15456

    So far, this is the best action movie in 2023!

    • @pn43279
      @pn43279 ปีที่แล้ว +67

      Adu anh vfact học toán

    • @pn43279
      @pn43279 ปีที่แล้ว +37

      Video mới là gì thế anh zai

    • @Clock_Man_2763
      @Clock_Man_2763 ปีที่แล้ว +178

      I can’t believe Alan is making his own Number lore now… ✊

    • @Nerdzel_73450
      @Nerdzel_73450 ปีที่แล้ว +40

      Hey, không nghĩ tôi sẽ gặp kênh yêu thích của mình ở đây. Giữ gìn sức khoẻ và nếu có thể thì có thể làm về vũ trụ được không, video này làm tôi có hứng về vũ trụ học.

    • @liZa_lIke245
      @liZa_lIke245 ปีที่แล้ว +7

      Yes

  • @ctje1638
    @ctje1638 ปีที่แล้ว +360

    this sound design was top notch. The music felt so appropriate for this weird dimension, and the sfx for all the math clinking and plopping felt like it was exactly how math should sound. absolutely stunning.

  • @z00m_is_next
    @z00m_is_next หลายเดือนก่อน +6

    Guys, Imagine if YOU can play with math like this. Its gonna be so much fun right?

  • @Sevron
    @Sevron 6 หลายเดือนก่อน +3631

    never in my life would I have ever thought I would see something tactically reload a math formula...

    • @janluofficial
      @janluofficial 5 หลายเดือนก่อน +184

      And then replace the magazine with infinity

    • @BACMemesandRoblox
      @BACMemesandRoblox 5 หลายเดือนก่อน +81

      And shoot a fricking laserbeam

    • @vivi_needssleep
      @vivi_needssleep 5 หลายเดือนก่อน +14

      I love this comment

    • @THEarrasBuddhist
      @THEarrasBuddhist 5 หลายเดือนก่อน +6

      Only 3 replies... Let me be da forth

    • @Windyfur_WCUE
      @Windyfur_WCUE 4 หลายเดือนก่อน +6

      I burst out laughing at that.

  • @nothing91109
    @nothing91109 ปีที่แล้ว +6306

    To the math nerd that did the equation and to the animator, heavily respected

    • @ThisNamesUnavailable
      @ThisNamesUnavailable ปีที่แล้ว +159

      especially in that mech section

    • @elestirmenelestirmen
      @elestirmenelestirmen ปีที่แล้ว +44

      pp entry looks pretty accurate lmao

    • @happymario3223
      @happymario3223 ปีที่แล้ว +61

      bro both are the same person

    • @VitorMaIuquinho
      @VitorMaIuquinho ปีที่แล้ว +46

      There is literally a pinned comment saying the lead animator did the math-

    • @TheJayTA
      @TheJayTA ปีที่แล้ว +4

      DJ did it all.

  • @priyanshupippal0562
    @priyanshupippal0562 ปีที่แล้ว +1346

    This is literally 100/10. The sounds, the effects, the animation, the accurate equations and the story, they all were hella awesome. Thanks Alan.

    • @biibs
      @biibs ปีที่แล้ว +21

      100/10 is 10, so it's quite literally 100/10 out of 100/10 :)

    • @AidanWickie
      @AidanWickie ปีที่แล้ว +4

      The comment sections are so dumb comments💀

    • @peakinsert1276
      @peakinsert1276 ปีที่แล้ว +4

      When a 14 minute TH-cam video teaches math better than a year of school

    • @JakeCampbell-v3m
      @JakeCampbell-v3m ปีที่แล้ว

      Like

  • @yashvibhardwaj9608
    @yashvibhardwaj9608 2 หลายเดือนก่อน +3

    OKAY THIS IS SO AWESOME DAMN IT
    9:57 The thing blocking TSC's Infinity function with a limit is just- DAMN. PEAK.

  • @gvrde
    @gvrde ปีที่แล้ว +811

    As a mathematician AND a fan of Alan's works, I can't describe how happy I am.

    • @eon1311
      @eon1311 ปีที่แล้ว +10

      Same here bro

    • @grandevirtude9830
      @grandevirtude9830 ปีที่แล้ว +18

      Too bad that i understood no shit related to maths after 3:52

    • @mogwaisales
      @mogwaisales ปีที่แล้ว +8

      The addition of enjoyment was worth the subtraction of time from my day. I have shown It to multiple people and none are divided on how good this is.

    • @snowman3456
      @snowman3456 ปีที่แล้ว +1

      ​@@grandevirtude9830same

    • @noahk6407
      @noahk6407 ปีที่แล้ว +2

      @@grandevirtude9830imagine

  • @mwmento
    @mwmento 10 หลายเดือนก่อน +3054

    I'm studying at the Faculty of Math in university right now and every month i come back to this masterpiece to see what new did i learn. When this animation came out i didnt understand anything besides the begining, now i almost got everything, and everytime it gets more and more interesting to analyse every small detail i notice
    Thanks for it, it helps he understand that im getting better, smarter, and my efforts arent worthless

    • @vlooranthewise7526
      @vlooranthewise7526 10 หลายเดือนก่อน +73

      I showed this to my Precal teacher and she really enjoyed pointing out all the references to stuff like the unit circle and Sin waves. I think she also had that kind of moment!

    • @OGSilentMan
      @OGSilentMan 10 หลายเดือนก่อน +22

      Man 5 months of progress huh

    • @whimsy_vision
      @whimsy_vision 10 หลายเดือนก่อน +2

      what were the functions towars the end ?

    • @wumi2419
      @wumi2419 10 หลายเดือนก่อน +2

      @@whimsy_vision phi is probably just generic function, at least I don't remember specific functions that use the name, then there's Riemann zeta function, delta I'm not sure about, might be the delta function, and I don't know which function is in background.
      Looking at other comments, it's aleph in background. Aleph is "size" of infinite sets. And phi is fibonacchi sequence
      Delta function is not strictly a function, but physicists like it. What's so weird about it, it has a non-zero integral despite being different from zero in only a single point. It's a part of generalized functions (distributions), which are absolutely amazing, but rarely taught. Then there's weaker version, Sobolev functional spaces, which is used more often, but is less amazing. Imagine, being able to integrate and differentiate (integrate by parts) everything. Delta function appears there as differential of heaviside step (or half of second derivative of modulus). Of course there's a corresponding price to pay

    • @jmrabinez9254
      @jmrabinez9254 10 หลายเดือนก่อน

      Why are you studying math?

  • @NateParody
    @NateParody ปีที่แล้ว +811

    I can see math teachers showing us this video in the future. It's entirely possible. For Grapic Design, our teacher showed us the very first Animator vs. Animation video. And wanted us to see if we could make something similar. That was basically our biggest semester project.

    • @JediJess1
      @JediJess1 ปีที่แล้ว +10

      I was always curious about that. My sister did creative tech at uni, and I keep thinking these videos would be brilliant to showcase as examples.

    • @LuffyWantsMeat01
      @LuffyWantsMeat01 ปีที่แล้ว +12

      Can I be in your class bro

    • @NateParody
      @NateParody ปีที่แล้ว +7

      @themisleadingpath4692 I graduated already, lol. But I can head to my school and put in a good name for you /j

    • @FingerMoments
      @FingerMoments ปีที่แล้ว +6

      My math teacher teaches with fun students just don't understand themselves and blame her that her teaching is very poor they always talks (I understand math very well by her)

    • @Actual456
      @Actual456 ปีที่แล้ว +5

      I thought yellow would be in it cause he is a red stone scientist so he would know the simple math😊

  • @ProfessorHeavy1
    @ProfessorHeavy1 ปีที่แล้ว +890

    I think the sound design is quite an underrated highlight of this animation. The bleeping and clicking as everything falls into place is so satisfying to listen to.

    • @littleyoyo8480
      @littleyoyo8480 ปีที่แล้ว +7

      I completely agree

    • @Егор705
      @Егор705 ปีที่แล้ว +5

      +

    • @Keno5
      @Keno5 ปีที่แล้ว +4

      Yes, I agree too.

    • @joelbobadilla7831
      @joelbobadilla7831 ปีที่แล้ว +2

      Egor is too good in sound design and animation

    • @FireyDeath4
      @FireyDeath4 ปีที่แล้ว +10

      Barely anyone talks about sound design in general. Whenever people release an animation or something with great sound design they just take it for granted and continue to laud the animators

  • @exotic_butters2897
    @exotic_butters2897 ปีที่แล้ว +9213

    Only Alan Becker can make a video about maths and we’ll all genuinely be invested in it.
    Edit: GUYS PLEASE STOP COMMENTING ON HOW THERE’S OTHER CHANNELS THAT CAN MAKE MATHS-BASED VIDEOS THIS WAS COMMENTED TWO MONTHS AGO AND I WAS JUST IMPRESSED AT HOW ALAN AND HIS TEAM WERE ABLE TO EXECUTE IT I DON’T WATCH VSAUCE

  • @fordthelord1133
    @fordthelord1133 ปีที่แล้ว +244

    Unironically, something like the beginning with all the playing around with numbers and math in an open space would be a sorta cool “Im bored” vr game, seeing how different math works like multiplications and division in a 3D space, and how complex equations could play out just messing with numbers.

    • @Abadraco
      @Abadraco ปีที่แล้ว +9

      Playing with the Desmos calculator in VR. I love it.

    • @Nobodyshere1105
      @Nobodyshere1105 ปีที่แล้ว +1

      This is a good idea, maybe you could sell it.

    • @SergioEduP
      @SergioEduP ปีที่แล้ว +1

      ​@@AbadracoI would pay for a "game" like that

    • @goldnewofl76
      @goldnewofl76 ปีที่แล้ว +1

      would especially be cool to see those infinite 0's dropping down

    • @SplatRina
      @SplatRina ปีที่แล้ว

      i need this so badly now

  • @EricJonas-b5i
    @EricJonas-b5i 22 ชั่วโมงที่ผ่านมา

    This is delightful as well, make sure that you made it more epic videos!

  • @crushermach3263
    @crushermach3263 ปีที่แล้ว +682

    Can't wait for all the math channels to do breakdowns of this video. It's incredible how much is packed in here.

    • @josuevargas1952
      @josuevargas1952 ปีที่แล้ว +40

      My school teacher would be good at this until the like, last 25% of the video, then he probably would have gotten nightmares, same as me, can't wait too

    • @etakiwarp
      @etakiwarp ปีที่แล้ว +5

      Even in a slowmode /100 i'm not sure you would have time to explain everything 😄

    • @June26A7
      @June26A7 ปีที่แล้ว +2

      @@etakiwarp I wanted to check the math in the video and I had to use frame advance in some scenes.

    • @bettercalldelta
      @bettercalldelta ปีที่แล้ว +2

      i came here from a breakdown of the video

  • @FilmFightFanatic
    @FilmFightFanatic ปีที่แล้ว +1085

    This might honestly be the most creative animation ever conceived. And what an epic appearance by the Aleph Number at the end there.

    • @Grape7676
      @Grape7676 ปีที่แล้ว +6

      Yeah, but why is א there?

    • @rezkreyad833
      @rezkreyad833 ปีที่แล้ว +8

      @@Grape7676 That is Aleph Nul.

    • @Grape7676
      @Grape7676 ปีที่แล้ว +1

      @@rezkreyad833 Still didn't understand.

    • @FilmFightFanatic
      @FilmFightFanatic ปีที่แล้ว +17

      @@Grape7676 maybe just a fun cameo that's not meant to be overanalyzed?

    • @dfc454
      @dfc454 ปีที่แล้ว +1

      yeah, lets just think of it that way.

  • @Whenpigfly666
    @Whenpigfly666 ปีที่แล้ว +489

    The graphic design in this episode was nothing short of phenomenal. The way e^iπ and TSC interact with numbers is so smooth and natural, and they use complicated formulas so creatively, too... Too bad it didn't fit in the narrative of AvA's grand story because this was one of the most beautifully animated episodes I've ever seen from your team

    • @sargentgullible2794
      @sargentgullible2794 ปีที่แล้ว +12

      I suppose it could, since TSC was last seen in a jail cell, and they could have knocked him out during transfer somewhere else, possibly.

    • @dmlsjsjsidishde
      @dmlsjsjsidishde ปีที่แล้ว +3

      Ikr

    • @Braga_Rcb
      @Braga_Rcb ปีที่แล้ว +21

      Are we sure it doesn't fit? I need to rewatch the last chapter, but TSC was captured and in some kind of facility, with the way he woke up in this place he could be in some kind of experiment or simulation

    • @harrythetrained5478
      @harrythetrained5478 ปีที่แล้ว +7

      ​​​@@Braga_Rcb or mabye this is how TSC learns how to use his power. Math is also a form of code. But thats just a Guess

    • @rhodrigomercyf2918
      @rhodrigomercyf2918 ปีที่แล้ว

      Incredible truly fantastic the way that you can innovatively come up with this😅

  • @Seyitonlineeeee
    @Seyitonlineeeee 2 หลายเดือนก่อน +6

    Thanks to this video, I created a new memory. Thank you for your effort.

  • @name-ie9qo
    @name-ie9qo ปีที่แล้ว +334

    I didn't understand a good portion of the math, but this is the exact chaotic feeling I get when confronted by math. Only difference is that this animation outs me in awe of math rather than in fear of it. Truly a masterful piece

  • @MoonriseMystery
    @MoonriseMystery ปีที่แล้ว +820

    As a math nerd, this is like my new favorite thing. I love how you started out with the fundamentals of math, the 1=1 to 1+1=2, and then steadily progressed through different areas until you're dealing with complex functions. There's so much I can say about this, it's so creative. Good job, Alan and the team.

    • @stefanoslouk4183
      @stefanoslouk4183 ปีที่แล้ว +7

      What is e 😂 seriously I want to know

    • @mikayel6175
      @mikayel6175 ปีที่แล้ว +14

      ​@@stefanoslouk4183e means exponent
      i means imaginary

    • @RedoAll
      @RedoAll ปีที่แล้ว +11

      ​@@stefanoslouk4183its a
      The fifth letter of the alphabet

    • @ExtremeAce
      @ExtremeAce ปีที่แล้ว +20

      @@stefanoslouk4183 e is Euler's number, it's an irrational number and it's value is approximately equal to 2.7. It's useful in many different equations and can express some very complicated logarithms or series.

    • @abandonedhhhv
      @abandonedhhhv ปีที่แล้ว

      ​@@stefanoslouk4183Euler's number.
      2.718...

  • @ChaosRevealsOrder
    @ChaosRevealsOrder ปีที่แล้ว +2048

    I've never seen anything so mathematically accurate while also entertaining.

    • @viniciusdias2330
      @viniciusdias2330 ปีที่แล้ว +23

      now it is explained how the "chosen one" went to this reality

    • @sehr.geheim
      @sehr.geheim ปีที่แล้ว +12

      No appreciation for proofs?

    • @marbot1
      @marbot1 ปีที่แล้ว +3

      E

    • @bvdlio
      @bvdlio ปีที่แล้ว +2

      3b1b

    • @SparkDrackflame951
      @SparkDrackflame951 ปีที่แล้ว +3

      ​@@sehr.geheimhe's basically a vector figure, a being made of numbers, to put it in short, he's basically math itself so to speak.

  • @MindyXD889
    @MindyXD889 2 หลายเดือนก่อน +5

    i dont understand nothing about math but this is masterpiece XD

  • @PeskySpyCrab
    @PeskySpyCrab ปีที่แล้ว +749

    As an engineer this has got to be the coolest animation I've ever seen. Its so fun to watch and 100% acurate all the time

    • @AdityaKumar-gv4dj
      @AdityaKumar-gv4dj ปีที่แล้ว +11

      π=e=3?

    • @rodrigovillegas2263
      @rodrigovillegas2263 ปีที่แล้ว +11

      As an aspiring engineer I resent my brain for understanding most of it. But yeah, it’s really cool

    • @bugg4938
      @bugg4938 ปีที่แล้ว +2

      ​@@AdityaKumar-gv4dj^2 =g

    • @jeremycaswell
      @jeremycaswell ปีที่แล้ว +1

      @@bugg4938 wut

    • @FEARLESS_FWOG0
      @FEARLESS_FWOG0 ปีที่แล้ว +6

      ​@@jeremycaswellshh were speaking math language

  • @JustAnotherCommenter
    @JustAnotherCommenter ปีที่แล้ว +365

    Love how this is so rewatchable because you can understand the little details in some parts of the video and they're actually mathematically accurate, especially the "imaginary world" bit.

  • @antisanity_
    @antisanity_ ปีที่แล้ว +215

    Only someone like Alan can turn math into an epic and entertaining battle like this.
    Props to the animation team because God knows my brain is too smooth to understand a fraction of whatever the hell any of those equations were :)

  • @sintijakazlovska6583
    @sintijakazlovska6583 หลายเดือนก่อน +4

    THIS IS SO COOL

  • @shadowshowz8060
    @shadowshowz8060 ปีที่แล้ว +266

    As a math enthusiast I will admit that everything in this video was really fun to watch, and everything demonstrated was done creatively and understandably. (most of the time) The different ways math was used in these animations was very cool and I'd love to see more sometime. Good job Alan and team!

    • @thatonecabridog
      @thatonecabridog ปีที่แล้ว +1

      Could you elaborate on that "most of the time"

    • @ferher5139
      @ferher5139 ปีที่แล้ว +5

      ​@@thatonecabridogi couldn't understand shit past the half second half (prob a skill issue though)

  • @Ceven77
    @Ceven77 ปีที่แล้ว +220

    This is so cool!!! Seeing an abstract concept turned into reality through interactions with a digital stick figure really is mindblowing. Alan Becker and the animation team really can do so much out of so little!

  • @ThatBillNyeGuy09
    @ThatBillNyeGuy09 ปีที่แล้ว +407

    I love this. I can only understand completely a third of the math presented here. But the fact that Alan made entire battles, wars, swords, and weapons out of just numbers and radiuses and equations is insane and SO creative. I cannot stop watching.

    • @keithharrissuwignjo2460
      @keithharrissuwignjo2460 ปีที่แล้ว +2

      I heard he got rejected by Pixar

    • @ThatBillNyeGuy09
      @ThatBillNyeGuy09 ปีที่แล้ว

      Okay, but how tf did I earn nearly 300 likes within just 30 minutes?

    • @abandonedhhhv
      @abandonedhhhv ปีที่แล้ว +1

      ​@@ThatBillNyeGuy09I have no idea.

    • @mamunrashid6404
      @mamunrashid6404 ปีที่แล้ว +5

      @@keithharrissuwignjo2460 alan becker dont need pixar, pixar needs him.

  • @atitayatreemuk5434
    @atitayatreemuk5434 2 หลายเดือนก่อน +1

    Dudes in the games:
    -Origin the second coming
    -Euler identify (eiπ)
    -delta (Δδ)
    -phi (Φφ)
    -zeta (Ζζ)
    -Aleph (ℵ)

  • @toddelmsworth640
    @toddelmsworth640 ปีที่แล้ว +428

    I swear Alan is just a machine that takes in ideas and churns out beautiful animation and stupendous sound design! Everyone involved with this project (and others) deserves the best!

    • @BloodyMobile
      @BloodyMobile ปีที่แล้ว +1

      Skynet but it's into art xD

    • @ryyguyzinton
      @ryyguyzinton ปีที่แล้ว +1

      Did the second coming just break the entire concept of math literally

  • @danobody6848
    @danobody6848 ปีที่แล้ว +575

    When I mentioned Alan Becker at the height as an artist I respect, their response was ... "Who?" .... This guy started with a simple animation animator vs animation .. now he makes great crossover stories with his characters and now released , a perfect mathematical spectacle connected to a simple story but so brilliantly done that hats off. I don't care what happened to them, but I will continue to follow his stories, which he permeated in such a way that he creates his own category that he undoubtedly rules. Keep it up.

  • @harshitmishr
    @harshitmishr ปีที่แล้ว +1626

    An animation masterpiece ✅
    A cinematic masterpiece ✅
    A mathematical masterpiece ✅
    A physics masterpiece ✅
    Cinematography ✅
    Sound design ✅
    Everything is so perfect

  • @robster7787
    @robster7787 2 หลายเดือนก่อน +1

    The fact that I recognized A LOT of mathematical concepts in this video, has shown to me that I actually did learn math in school.
    Next video is gonna have to touch the 3rd dimensional plane as well as adding more mathematical concepts such as partial derivatives. Now you’re messing with time, then eventually it touches physics

  • @hjc25gaming31
    @hjc25gaming31 ปีที่แล้ว +352

    This is one of the most beautiful videos I've ever seen, hands down. The fact that you could so clearly and visually explain some of the hardest concepts in math, from multiplication all the way to trigonometry. The animation is stellar, with every math concept perfected to beauty. As someone who loves math, animation, and Alan Becker, this is a work of art. Keep being awesome!

    • @yourmamagg
      @yourmamagg ปีที่แล้ว +4

      Complex dirivative antidiravative functions and limits left the chat

  • @theblacklakes9351
    @theblacklakes9351 ปีที่แล้ว +2200

    The start was intriguing, the middle was intense, and the end was heartwarming. This isn't just an animation, it's a masterpiece and will be remembered for generations to come.

    • @aic8326
      @aic8326 11 หลายเดือนก่อน +10

      Lol yet another youtube "masterpiece" comment 😂

    • @Sebdet9
      @Sebdet9 10 หลายเดือนก่อน

      @@unaval1ble_ I learned imaginary numbers because of this

    • @littlemilk973
      @littlemilk973 10 หลายเดือนก่อน

      @@Sebdet9 you didn't know imaginary numbers before??

    • @Sand_the_Lazy_sand
      @Sand_the_Lazy_sand 10 หลายเดือนก่อน +1

      ​@@aic8326atleast they spent some effort on the comment instead of the jellybean comment (i actually forgot about that)

    • @Tenebri_s
      @Tenebri_s 10 หลายเดือนก่อน

      Yes kids boss fighting with e

  • @Astronian18
    @Astronian18 ปีที่แล้ว +2286

    As a person who has taken calculus, I can confirm we fight bosses every day in math class.

    • @Godzilla_boiS
      @Godzilla_boiS ปีที่แล้ว +27

      😂

    • @pantherosgaming1995
      @pantherosgaming1995 ปีที่แล้ว +16

      OMG 🤣

    • @TWGStorms
      @TWGStorms ปีที่แล้ว +12

      Too true

    • @silxm
      @silxm ปีที่แล้ว +15

      i can agree with this ap calculus was scary

    • @arda04onuk77
      @arda04onuk77 ปีที่แล้ว +5

      as a person just started took it and failed and going to take next year nothings changed

  • @Neo2266.
    @Neo2266. หลายเดือนก่อน +5

    I'm glad Internet Explorer finally got the rematch it deserved

  • @boilingcold581
    @boilingcold581 ปีที่แล้ว +1033

    I like how Alan didn’t go for a “Brains vs. Brawn” approach, and instead just made a fight to the death with math terms

  • @marinaaaa2735
    @marinaaaa2735 ปีที่แล้ว +656

    This should legitimately be shown in schools, so much unique intuition for basic concepts in math is shown here

    • @FireMageTheSorcerer
      @FireMageTheSorcerer ปีที่แล้ว +57

      They might need to slow down or break down some parts but yes

    • @elsicarioadriangamer3382
      @elsicarioadriangamer3382 ปีที่แล้ว +2

      No tanto así xd el de la división no entendí

    • @Cosmicfear101
      @Cosmicfear101 ปีที่แล้ว +9

      ​@@FireMageTheSorcererthat's what they should actually do

    • @Louis_2568
      @Louis_2568 ปีที่แล้ว +35

      @@Cosmicfear101I could see my teacher going frame by frame through the video and explaining each equation to us and the cool unique qualities and random fact about each one

    • @F2PAlius
      @F2PAlius ปีที่แล้ว +12

      ​@@Louis_2568teaching limits and the imaginary world would be tricky for non-calculus students 😅

  • @seyedmatintavakoliafshari8272
    @seyedmatintavakoliafshari8272 ปีที่แล้ว +782

    I can't even imagine the amount of genius, effort, and elegance dedicated to this work. You're special. Single best math animation story I've ever seen!!

    • @WatercraftGames
      @WatercraftGames ปีที่แล้ว +2

      Math lore

    • @snowman3456
      @snowman3456 ปีที่แล้ว +3

      It's not just him bro there is a team behind it

    • @zadiczane7618
      @zadiczane7618 ปีที่แล้ว

      its garbage i can do better

    • @cskl
      @cskl ปีที่แล้ว

      The only math animation story you’ve ever seen

    • @sattwikchatkara8871
      @sattwikchatkara8871 ปีที่แล้ว

      Ishan Awasthi from taare zameen par guys

  • @sin-c8t
    @sin-c8t 18 วันที่ผ่านมา

    6:42 duel sword
    9:45 the boss
    8:29 forging weapon
    7:34 the e turning into a blaster
    7:45 him making a sheild
    7:49 him making the sheild a piston
    4:44 the sword and bow

  • @XDTape
    @XDTape ปีที่แล้ว +487

    not only did alan somehow make Euler's identity badass, he also made all of its alternate forms even more badass

    • @RunstarHomer
      @RunstarHomer ปีที่แล้ว +31

      Euler's formula has been badass for hundreds of years, my guy.

    • @Genisis1082
      @Genisis1082 ปีที่แล้ว +14

      @@RunstarHomer Im impressed that it all made sense too, what a cool animation

    • @allrightformugiwara2656
      @allrightformugiwara2656 ปีที่แล้ว +1

      He called e the negative one

    • @salitroka9661
      @salitroka9661 ปีที่แล้ว +1

      facts

  • @ParadoxBrony
    @ParadoxBrony ปีที่แล้ว +255

    I can’t wait to see math youtubers react to this and explain it all. Here’s hoping the community gets this in front of those creators as soon as possible.

  • @booma2
    @booma2 ปีที่แล้ว +1510

    As a mathematics teacher, I always dream of explaining math concepts in an interesting and amazing way. Let me say, you 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!

    • @zylerrogers69
      @zylerrogers69 ปีที่แล้ว +31

      That's amazing, I struggled to learn math the way my teachers taught in school. I have hyperphantasia, so I struggle to understand things that aren't explained visually, but this video encapsulates exactly how I wish math could be taught to me because it explains mathematical concepts in a way that is intuitive, interesting, and very aesthetically pleasing.

    • @notdead5837
      @notdead5837 ปีที่แล้ว +7

      @minervatolentino8481
      Maybe because they might not speak english???

    • @booma2
      @booma2 ปีที่แล้ว +6

      @minervatolentino8481 because there are already uploaded some reviews in English I just added subtitles in English and explain in Urdu

    • @FractalSpaces
      @FractalSpaces 11 หลายเดือนก่อน

      @@zylerrogers69 i struggle too! Not to self diagnose but,maybe i have hyperphantsia too

  • @axelace4463
    @axelace4463 3 วันที่ผ่านมา +1

    Renaissance dudes would have loved this

  • @JuliusDofarios
    @JuliusDofarios 6 หลายเดือนก่อน +597

    Cancelling Infinity using Limits.
    That is beyond genius!

    • @Herl_Shevin101
      @Herl_Shevin101 4 หลายเดือนก่อน +21

      Einstein been real quiet since this got exposed

    • @krisztiankoblos1948
      @krisztiankoblos1948 4 หลายเดือนก่อน +4

      @@Herl_Shevin101 XD

    • @SoftAlexandra3
      @SoftAlexandra3 4 หลายเดือนก่อน +3

      Not beyond genius, but something high school students in Advanced Mathematics like me gets taught of working with.

    • @daysukanbowfive5202
      @daysukanbowfive5202 4 หลายเดือนก่อน +1

      when the video was escalating, and he got to the infinity, I was thinking " oh the next thing that will counter infinity is limit " and it did ! amazing video

  • @singingsun04
    @singingsun04 ปีที่แล้ว +298

    I came here thinking this video came out 6 years ago but no it was only 6 hours. I’m sure I could say plenty that others have said but it’s so good to see fun and creative animations like this still existing on TH-cam after all these years and all the hassles on TH-cam. No Ads, No Sponsors, No Patreon no Merch Plugins, just the art of animation in its purest form. Incredible work, keep it up.

    • @Frog_Plush_THE_ANIMATOR.
      @Frog_Plush_THE_ANIMATOR. ปีที่แล้ว +7

      Same, Alan is so good.

    • @fdsafdsafdsafdsafd
      @fdsafdsafdsafdsafd ปีที่แล้ว +1

      You'd see more of it if TH-cam wasnt doing its best to kill any creator that doesn't toe the line exactly as they want it.

    • @TheIrrelevantYT
      @TheIrrelevantYT ปีที่แล้ว +2

      TH-cam is absolutely ruthless to animators. It's just that Alan's content is exactly what TH-cam likes.

    • @singingsun04
      @singingsun04 ปีที่แล้ว +1

      Unrelated note my comment got stolen by a bot and got more likes than me. That’s pretty kooky!

  • @yousseftamer4943
    @yousseftamer4943 ปีที่แล้ว +394

    I love how TSC is using more and more complicated maths as time goes on. This guy somehow made maths interesting

    • @bananA-ばなナ
      @bananA-ばなナ ปีที่แล้ว +5

      The difference between the math I enjoy and my teacher's math :3

  • @Ridgerunner2270
    @Ridgerunner2270 3 วันที่ผ่านมา

    Just amazing. I am a visual learner, so seeing math in action is extremely helpful.

  • @gribblegrape6496
    @gribblegrape6496 ปีที่แล้ว +558

    This video shows that you can make literally anything a badass short film if you have enough talent.

    • @joseromao4097
      @joseromao4097 ปีที่แล้ว +3

      That kind of implies that math is not badass by itself, but I don't believe it be possible to have watched this video and still think that

    • @xandergaming9345
      @xandergaming9345 ปีที่แล้ว +1

      Ikr

    • @nizargutomo7969
      @nizargutomo7969 ปีที่แล้ว +3

      Can I make poop into a badass short film then?

    • @gribblegrape6496
      @gribblegrape6496 ปีที่แล้ว +1

      @@nizargutomo7969 yes… yes you can…

    • @gribblegrape6496
      @gribblegrape6496 ปีที่แล้ว +2

      Also wow how’d this comment get so popular lol. 553 likes as of 9:00pm June 25th.

  • @Mr_Mimestamp
    @Mr_Mimestamp ปีที่แล้ว +156

    I love the sound design on this video. I didn’t even know if Scott Buckley was the one behind the music, it sounded so different to his past scores, but it fit perfectly! It did a great job with the “lonely void” vibe without being too overwhelmingly happy or sad.
    I love the typewriter-clicky sounds throughout the whole thing, along with the digital vibe. Different objects and aspects of math have their own feel. I could watch this video without the visuals and remember what TSC is currently learning about! Really feels like you’re trapped in a Khan Academy video, and it’s perfect!

    • @bungercolumbus
      @bungercolumbus ปีที่แล้ว +2

      He made an empty void full of curiosity.

  • @KAMIKAZES
    @KAMIKAZES ปีที่แล้ว +15050

    This is impressively accurate and spectacular! 🤩
    Kudos to the creator of this piece of art!
    e^(i*π) is eternal!

  • @D_oktor
    @D_oktor ปีที่แล้ว +1216

    As a physicist I got to say, this was incredible. I was literally smiling all the way through because of how amazing this was. It captures the math so good and the animations representing the individual math operations, simply astonishing.

    • @pitpot2
      @pitpot2 ปีที่แล้ว +11

      almost makes me want to do math

    • @michaelregan3345
      @michaelregan3345 ปีที่แล้ว

      yeah same

    • @destonmarvelle5627
      @destonmarvelle5627 ปีที่แล้ว +3

      Math is like drugs u can be very happy when your right but deppresed when your wrong

  • @nosaj4116
    @nosaj4116 ปีที่แล้ว +331

    Your animation is more than impressive as always, but the creativity behind the manipulation of mathematics in the animation to create such a story left me in awe.

  • @Beagle36
    @Beagle36 ปีที่แล้ว +615

    As a math and sciences major, alongside being a tutor for highschoolers I absolutely LOVE this animation. What amazes me more is this is how some of my students visualize math, and its incredible.

    • @mebin3059
      @mebin3059 ปีที่แล้ว +11

      exactly like this or in some way similar?

    • @superninja7977
      @superninja7977 ปีที่แล้ว +11

      bro that's cap, no one visualizes math as an epic battle using imaginary numbers

    • @_.baited._
      @_.baited._ ปีที่แล้ว +4

      What? As nukes?

    • @Beagle36
      @Beagle36 ปีที่แล้ว +4

      @@mebin3059 similar ways. I’m referring to early on in the video.

    • @mebin3059
      @mebin3059 ปีที่แล้ว

      @@Beagle36 oh cool same 👍

  • @Yuukkikun
    @Yuukkikun 2 หลายเดือนก่อน +2

    😢time flies so fast

  • @sanskar0888
    @sanskar0888 ปีที่แล้ว +1006

    Only a person that 'understands' maths well could make a animation this beautiful.

  • @yeetingthechild5570
    @yeetingthechild5570 ปีที่แล้ว +2081

    I think this just proves TSC is smarter than anyone alive. He just absorbed, learned, and utilized in combat 14 years worth of math learning in just 14 minutes.

    • @bloc8928
      @bloc8928 ปีที่แล้ว +120

      Bro became Einstein by examining with numbers and stuff

    • @PurpleHeartE54
      @PurpleHeartE54 ปีที่แล้ว +116

      Several hundred years if we're being real here. Math is a culmination of Humanity's Effort.

    • @Theriople
      @Theriople ปีที่แล้ว +32

      @@Aku_Cyclone ???????

    • @Rainbow_anims
      @Rainbow_anims ปีที่แล้ว +1

      ​@@PurpleHeartE54:/

    • @PurpleHeartE54
      @PurpleHeartE54 ปีที่แล้ว +9

      @@Rainbow_anims It's facts though.

  • @Eterno1385
    @Eterno1385 ปีที่แล้ว +257

    Timestamps for those who dont know what some of this is
    0:01 The Epic One
    0:19 Addition
    1:10 Simplification
    1:19 Subtraction
    1:39 Euler's number to the power of imaginary pi
    2:23 Multiplication
    2:26 Parenthesis
    2:34 Division
    3:04 Exponents
    3:31 Fractions
    3:39 Square Roots
    3:50 Imaginary
    4:01 Imaginary Euler's Number to the power of imaginary pi
    4:09 The Chase
    4:43 Fighting with Functions
    5:16 Back to Math
    5:21 Graphs
    5:37 Theta
    5:52 Radius
    6:38 Pi
    6:44 sin and cos
    6:50 Circumference (I think)
    7:09 Imaginary sin
    7:19 Euler's Number to the power of imaginary pi (again)
    7:26 Another Fight
    7:35 Euler's Number to the power of imaginary pi turns into a Sigma Notation
    7:39 Sigma Notation Shoots imaginary pi to the power of n, while n is 2 and will stop until it reaches Infinity, so he can shoot an infinite ammount of imaginary pi to the power of n
    7:45 TSC multiplies the radian to 4 to have enough to make a circle and multiply the circle and the pi to make the circumference and use it as a sheild
    8:24 Euler's Number to the power of imaginary pi is multiplying himself by... dividing...
    8:30 not smart enough to understand that but you can see what TSC is trying to do
    8:40 TSC with a gun vs Euler's Number to the power of imaginary pi apocalypse
    9:46 that doesn't seem fair
    9:58 DA GIANT INTEGRAL
    10:02 aw he sounds cute
    10:17 TSC changing the position of the circle
    10:35 TSC just found the most op math function even though he only had 10 minutes to learn it while he have to take years
    11:16 TSC launches himself to get Euler's Number to the power of imaginary pi
    12:11 Euler's Number to the power of imaginary pi spares TSC him even though his knowledge of math nearly killed him
    12:17 TSC learns for Euler's Number to the power of imaginary pi (god im tired of saying Euler's Number to the power of imaginary pi)
    13:04 Euler's Number to the power of imaginary pi creates a portal for TSC
    13:33 Zeta
    13:35 The Golden Ratio, or phi
    13:36 Delta
    13:39 Thats a BIG aleph
    13:49 The + End = The End (I think)

    • @bungercolumbus
      @bungercolumbus ปีที่แล้ว +12

      e^iπ is also called euler's identity

    • @elecstorm3701
      @elecstorm3701 ปีที่แล้ว +13

      That is, indeed, quite a big aleph.

    • @luzerlmao
      @luzerlmao ปีที่แล้ว +21

      0÷0 of my braincells understood this.

    • @Eterno1385
      @Eterno1385 ปีที่แล้ว +2

      ​@@bungercolumbusoh I didn't know that

    • @thisisaplaceholdernamedont6980
      @thisisaplaceholdernamedont6980 ปีที่แล้ว +21

      13:33 that symbol you forgot was zeta

  • @Jjjiiiughjfghjgfyu
    @Jjjiiiughjfghjgfyu หลายเดือนก่อน +1

    Bro made a MATH VIDEO interesting for me 👏👏👏

  • @Eta_Carinae__
    @Eta_Carinae__ ปีที่แล้ว +1105

    As a math major, I think a pretty common experience between all of us is that it's very difficult to talk to anyone about this sorta stuff. It's genuinely pretty heartwarming seeing the discipline as this awesome world, and then to actually have the world itself be rigorous and sound.

    • @poyenwu
      @poyenwu ปีที่แล้ว +2

      You want the world to be rigorous and sound you go be a machine where everything is definite for you. As a human, we want possibilities which means uncertainty and we want everything that we could or could not never ever imagine of to manifest in front of us. I do not want to live in a finite and defined world, I want things that we could never physically figure out and a world that we could never explain.

    • @poyenwu
      @poyenwu ปีที่แล้ว +1

      As a computer scientist, so no discrimination to machines

    • @kalimer0968
      @kalimer0968 ปีที่แล้ว +3

      @@poyenwu O...kay... As a computer scientist, do you honestly not get what OP was trying to say? This could be the start of a typical quickly escalating TH-cam-comment thread, just because of people completely talking past each other within having exchanged two sentences.
      "I like that they cared enough about the math to not just make it flashy, but also sensible." and "I want freedom, complexity and creativity in my life!", are two statements not compatible within the same conversation. You might as well have entered a conversation about shark skin microstructure analysis by yelling: "I hate bacon!".
      Put in its own comment outside of this thread, what you expressed would actually fit the video kinda nicely. In here it's poor form.

    • @poyenwu
      @poyenwu ปีที่แล้ว +1

      @@kalimer0968 Not sure what you're talking about. OP is saying how he likes people working on things that focus on the discipline of this world and for us to have a rigorous and sound world. What I was trying to say is that if all you want is a rigorous world which follows some strict disciplines, you do not need to come to this word, you could have just live inside a machine as a program since that alone can meet all your needs already. Being a human in this world, we want the ultimate unlimited possibilities, which means no rule can describe the nature of the world in its entirety (hence not disciplined), and will always have unexpected things happening which you could never (and I mean never) imagine (hence can not be rigorous).

    • @poyenwu
      @poyenwu ปีที่แล้ว +1

      @@kalimer0968 Also, I failed to find the sentences you qouted anywhere in this thread. FYI. I read OP's entire comment and thinks about it before I started to write mine.

  • @MrCAnimations69
    @MrCAnimations69 ปีที่แล้ว +302

    Only Alan Becker knows how to make an engaging lore based story with only math. Keep up the good work man! :)

  • @carbondo2692
    @carbondo2692 ปีที่แล้ว +643

    I showed this video to the whole class and it was really incredible. It was definitely the best work I have ever seen. I really like the feeling of vividly and visually deducing mathematics, from simple to complex, from small to infinite. As a fan of science and aesthetics, I really hope this series can continue and look forward to the next issue of Animation vs. Physics or Chemistry

    • @carbondo2692
      @carbondo2692 ปีที่แล้ว +18

      I really want to watch vs. physics.Motion,force, heat, light, electricity,atoms to galaxies, stillness to the speed of light, combined with such a plot, it's absolutely amazing

    • @Project-zu4xh
      @Project-zu4xh ปีที่แล้ว +8

      Physics is gonna be crazzy

    • @Mir_v_takt
      @Mir_v_takt ปีที่แล้ว +2

      Guys, I did not understand what those letters were at the end, help me? And, yes
      I Russian

    • @DreamingBlindly
      @DreamingBlindly ปีที่แล้ว +2

      And best part is that you can tell your students to just replay the video in slow motion for them to grasp something way better than a book can.

    • @Project-zu4xh
      @Project-zu4xh ปีที่แล้ว +1

      @@Mir_v_takt I recognize only the beta sign so if I had to guess it's probably the Greek alphabet but I'm not sure

  • @Mapet-l7t
    @Mapet-l7t 2 หลายเดือนก่อน +2

    Amazing❤

  • @JediJess1
    @JediJess1 ปีที่แล้ว +209

    I need to see everymath youtuber react to this! Mathologer, Matt Parker and the Numberphile gang, 3blue1brown in particular, EVERYONE!
    As a general math enjoyer, I was smiling throughout the entire video at everything! I can't even call anything here "references". Everything was just correct and accurate, with visuals to match.
    The sound design and musical composition were both excellent! All the sounds fit in ways that were mentally satisfying, and the music built a vibe of intrigue and determination or focus, before it went epic!
    Alan and co, this was absolutely astonishing!

    • @mrShift_0044
      @mrShift_0044 ปีที่แล้ว +4

      3b1b already commented on this :D

    • @christyanoliveira7901
      @christyanoliveira7901 ปีที่แล้ว +6

      agreeeeed, yoo! they made a visual representation of a squared number! amazing!

    • @JediJess1
      @JediJess1 ปีที่แล้ว +1

      @@mrShift_0044 two minutes before I did. That's awesome!

  • @d2dog933
    @d2dog933 ปีที่แล้ว +565

    only Alan Becker can turn a math formula into a sub-orbital laser cannon

    • @GoodMat66
      @GoodMat66 ปีที่แล้ว +1

      134 likes and no replys? Let i fix it

    • @GoodMat66
      @GoodMat66 ปีที่แล้ว +1

      xD

    • @Red_MOON187
      @Red_MOON187 ปีที่แล้ว +5

      A death star

    • @livethefuture2492
      @livethefuture2492 ปีที่แล้ว +4

      It's a sine and cosine function, which is funny because that's exactly how Lasers actually work in real life as well.

  • @RateOfChange
    @RateOfChange ปีที่แล้ว +164

    As someone who's been into math since I was 12, this is the best visualization on equations, expressions, symmetry and the true meaning of math as a whole I've ever come accross. This is not just entertainment, this is pure genius. It's brilliant.
    By the way, I loved how the so called "most beautiful equation" (aka Euler's identity) shows up and basically tries to trick the stickman. That's quite deep. If you know what that equation means, it makes total sense.
    Also, I loved when they got into the imaginary domain for a brief moment and everything seemed broken, then they came back to the real numbers domain at a different position in space, which also makes perfect sense if you know a bit about operations using imaginary numbers.
    Every single frame of this video makes perfect sense, really.
    Not to mention the overal details such as the animation, the plot, the way things build up with math concepts and ideas showing up in a logical order, soundtrack, sound effects...
    3blue1brown would be proud.
    Again, genius.

    • @annualdark
      @annualdark ปีที่แล้ว +2

      As someone who's been into english since I was 12, it's spelled genius.

    • @RateOfChange
      @RateOfChange ปีที่แล้ว +7

      @@annualdark as a non native English speaker, I want to thank you. Also, I must say you forgot the period, Grammarly.

    • @hi841
      @hi841 ปีที่แล้ว

      Como hablante de español XD

    • @RateOfChange
      @RateOfChange ปีที่แล้ว

      @@hi841 Are you referring to me? If yes, I do speak Spanish, but it's not my native language.

    • @annualdark
      @annualdark ปีที่แล้ว

      @@RateOfChange lmao sorry

  • @Leaves-123
    @Leaves-123 หลายเดือนก่อน +1

    Teaches me better than school😊

  • @AndrexTadex3000
    @AndrexTadex3000 ปีที่แล้ว +755

    I don't want to imagine how much effort Alan's team put in to make everything mathematically correct

    • @mathbait
      @mathbait ปีที่แล้ว +19

      Well.. f of infinity is questionable😅

    • @AndrexTadex3000
      @AndrexTadex3000 ปีที่แล้ว +16

      @@mathbait oh....well...almost of all the other stuff is correct,or almost that is what i think

    • @susmitapal823
      @susmitapal823 ปีที่แล้ว +2

      Asian

    • @amine1644
      @amine1644 ปีที่แล้ว

      @@mathbait yeah dividing by zero does not give infinity, it is impossible.

    • @RamonX69
      @RamonX69 ปีที่แล้ว +1

      ​@@amine1644it does

  • @dyllanrodriguez2828
    @dyllanrodriguez2828 ปีที่แล้ว +501

    I notoriously hated math cuz I was never good at it. But the way Alan makes this stuff look like fun is forever baffling to me. I’m so floored by this, this just further solidifies Alan as my favorite animator ever. Dude just can do anything with his team, props to everyone that helps him and all of that because you guys are always unmatched. I love this channel, still is one of my greatest inspirations to get into animation. And always will be 🙏🏽💖

    • @gavinludwig2694
      @gavinludwig2694 ปีที่แล้ว +4

      If only the animations could be done in an instant

    • @MrMoron-qn5rx
      @MrMoron-qn5rx ปีที่แล้ว +4

      it's specifically helpful with the 3d part of it (the enoumous amount of 1's), cause calculators never explain whats going on.

    • @EchoCanDrawStuff
      @EchoCanDrawStuff ปีที่แล้ว +2

      You deserve more likes

    • @unknownerror-strhold5-5
      @unknownerror-strhold5-5 ปีที่แล้ว +1

      Same (i need to learn more cuz i'm too bad at it ;-;)

  • @fascher_
    @fascher_ ปีที่แล้ว +512

    Please make more if possible, this is incredible work. As someone who isn't knowledgeable on math, I've genuinely never seen some of these concepts pictured like this, ever. But its much easier to understand at least intuitively in an animation like this. Needing to keep things simple so things can be animated and clear, plus not having dialogue, or even text to explain are the limits that make this a really effective educational tool. It helps that the sound design and music is very satisfying. Great work, seriously, must have taken ages.

    • @EragonShadeslayer
      @EragonShadeslayer ปีที่แล้ว +2

      Look up 3blue1brown

    • @znefas
      @znefas ปีที่แล้ว +1

      i was just thinking about him, a 3b1b and Alan Becker collab would be awesome!

    • @Shawal-df5kw
      @Shawal-df5kw ปีที่แล้ว +1

      10^30=1000000000000000000000000000000

  • @UROOZFATIMA190
    @UROOZFATIMA190 หลายเดือนก่อน +1

    I can say inevitably now that EVERY mathematics enthusiast would have become so fascinated by this incredible animation..🚀✨
    MATHEMATICS is all about patterns all around us it's everything just astonishingly ❤BEAUTIFULsubject.

  • @Arshys
    @Arshys ปีที่แล้ว +3038

    This man just gave the sentence “imagine maths are a videogame” a whole new meaning

    • @Jaydenmare
      @Jaydenmare ปีที่แล้ว +32

      There is a math game called Baldi’s basics

    • @EricDu-hq1es
      @EricDu-hq1es ปีที่แล้ว +24

      And the sentence of "imagine math is weaponized"

    • @autumn_sunday
      @autumn_sunday ปีที่แล้ว +14

      ...You could pick up the sword, the bow, or the arrow...
      Obscure reference :)

    • @Midnight_Reaper
      @Midnight_Reaper ปีที่แล้ว +6

      @@autumn_sunday Gumball reference moment

    • @zelven6109
      @zelven6109 ปีที่แล้ว +7

      Video games are made through math.

  • @Mega_idk
    @Mega_idk ปีที่แล้ว +912

    Can we all take a minute and appreciate the sound design here? It makes the action and visuals so much more enjoyable than they already are!

    • @KushagraPratap
      @KushagraPratap ปีที่แล้ว +17

      yeah man, sound design is the most impressive here, also how he signifies actions

    • @seomeenu
      @seomeenu ปีที่แล้ว +3

      fr

    • @MuhammadazizAbdullayev
      @MuhammadazizAbdullayev ปีที่แล้ว +3

      Yes

    • @asafapowell4813
      @asafapowell4813 ปีที่แล้ว

      What but I can't hear any sounds is it a problem on my end or is this a joke?

    • @hashtagskittle
      @hashtagskittle ปีที่แล้ว +8

      @@asafapowell4813turn up ur volume, restart ur device, wear earphones. The sounds are really cool /srs