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The reason that zeroes were appearing in the first swordfight between Euler and Stickman was because Euler had a -1 and Stickman had a +1. -1+1=0, so every time their "swords" clashed, it made a zero.

17:14 "This is a very aggressive stick person" The most succinct explanation of Alan Becker's channel. Well done.

27:42 it was aleph, the smallest cardinal infinity, that's why it was so big

26:09 Here the stickman was looking for an exit, quite hard to spot after an overload of mathematics ahhah.

the ending: the stickman was looking for a way out. e, ×, i and then the first half of π, altogether look like the word "exit"

There was a lot missed here. 2:20 The first appearance of Euler's. At this point, we only have addition and subtraction, so Stickman doesn't have the tools to understand, let alone contest e^i(pi) 10:46 Previously, e^i(pi) multiplied by i to go imaginary. i x i x i forces Euler's back to reality 13:45 Stickman has +1. Euler's has -1. +1-1 = 0 After that, Euler's goes to 4, and this breaks Stickman's weapon three times. Stickman then draws a second sword, and +1+1-1 = 1, which knocks back Euler's. That then combines into 2x2=4 giving Stickman a bow. 17:25 A lot happens quickly here. Multiplying sin by i rotates sin 90 degrees. Now having isin(t) and cos(t), this becomes Euler's again. Fencing is as before, with Euler's manipulating its power to do complex moves. 18:45 Stickman multiplies a radian by 4 to make a circle, then the circle by pi to get a disc as a shield. Multiplying the disk by 8 gives a cylinder 19:20 Sin(t) of the circle going left creates 0 > sint(t) > -inf, which blows Euler's out of the circle. Euler then multiplies itself while Stickman makes 9 tan (t) as a vector function. 9 tan (Euler's) = 0 21:42 Pi radians onto the angle swings stickman 180 degrees. 22:56 Integrals can handle infinities thanks to limits, so the function gun to infinity no longer works. 23:36 Adding the function gun to theta. Then i sin(t) and cos(t) applied to the function makes the wave that was shown earlier, and the tangent function obliterates everything. 24:08 A single integral cannot handle a multivariable. 25:00 It was once believed that imaginary numbers broke math, and the function beam, thanks to its now very high amplitude, is adding a lot of pressure. 26:08 This spells Exit 26:30 e^(i(pi)/2) rotates Euler's 90 degrees, bringing him back to the gun, which has been in an always-on state thanks to pi jamming the trigger. 26:50 The gamma function can be used to deal with a non-integer, such as Stickman. Euler's then places an i, turning e^(pi) to e^i(pi), which simplifies to -1 and banishes Stickman. 27:50 The big grey thing is aleph. aleph(0) is the smallest infinity, which is why it is so big.

A lot of reactors don't really pick this up, but when they were adding 1 to the power at 7:43, the animation is illustrating it by changing its dimensional visualization. So when they go up to 5th dimension, all the 1s are making giant 1s that add together in a 5th dimensional array.

So the game you were talking about is called 2048 and yes it was huge a few years back! You unlocked a core memory for me lol

At the end, Stickman was asking Euler to help him find a way out of mathspace - he was looking for an EXIT (e x i, and half of pi is visible). I think Euler then created the formula for the volume of an n-dimensional hypersphere to use as a portal to send Stickman back to his own reality. At the very end, the difficult-to-see giant in the background was Aleph-null. :)

Me, a 32 year old, sitting here and watching a 28min fun video about maths with a smile on my face while knowing full well all context of what I learned in school has been almost completely wiped out of my brain 🥲

Big thing moving in the background at the end: Aleph Null "Stickman" was looking for an exit to go back to his world

oh boy, it’s fun to see a proper mathematician recognizing everything (well, most of) in real time. you should also check out becker’s sequel to this, “animation vs physics”. spoiler without spoiling: the hollow orange stickman is about as reckless as he is aggressive

It's mildly upsetting to me that only now, in my middle years, that I find maths this fascinating. Whereas, as a youth, maths was such a huge disappointment and I was turned off it. Maths was the only subject at school that I actually struggled with. Top sets for everything EXCEPT maths. And yep, it still galls me! 😂

My take on the sudden appearance of Eulers identity is that it’s kind of inherent in what’s so strange about negative numbers to begin with. When people first started accepting negative numbers, there’s this whole quality of mystery which already takes you off the map of things that you can count in real life

I love how she knows all these complex math equations that my mind can't even comprehend and didn't get that he was asking for the Exit

As someone who is NOT a mathematician, hearing the phrase "Oh are we moving into another dimension? Oh four? The fourth dimension? So surely time's gonna play a big part in this" broke my brain a bit.

Euler's number runs away and is 'growling' because it's an irrational number

Nice reaction lmao, this animation has inspired me in so many ways and I was NOT expecting a channel about silly Minecraft and Stickman animations to make such a cool animation for the maths community on YT to enjoy. Some stuff I wanted to quickly mention: -19:55 Nah the dot operator is just referring to "nothing" here, basically the arrow was just above the animation was just tryna show he simplified it heavily into by saying 'tan is just a function (at the end of the day)' -26:09 Euler's identity was spelling out "exit" here -The stickman's name is "The second coming" and is an important character from Alan Becker's other animations and he's just trying to go home (which is Alan's - the maker of these animations - desktop loool)

13:50 Their hilts. "e" has - and "The Second Coming" (yes, that's his name) has +. That's why when they both have 1 blades they result in 0. 22:56 "The Second Coming" shoots with infinity and e catches it with integral. 27:40 That symbol is Aleph. It's so big because it's the smallest infinity.

I understand that math is not my field.

"this is a very agressive stick person" is the perfect way to describe TSC, especially when his friends are in danger i dont know if you know it already, but the stickmans name is The Second Coming or just Seccond for short, and hes a character from Alan Beckers chanel where he has his own series "animation vs animator" and "animation vs minecraft" and they both have insane lore and story, that some people even cried at few of the episodes! (including me)

26:12 the stickman was trying to explain the "exit" word. Euler constant is "e" letter, multiplication is "x", imaginary number is "i" and half of pi letter is "t", so you can read "exit" word. At the end e^(i*pi) built a kinda portal for stickman. And -1 at the end means stickman has disappeared from that world.

8:08 I think the game you mentioned is 2048 which is one of my favorite games.

some lor, stickman is a creature living in the PC of Alan becker, and many times he enters apps and stuck on them not finding the exit back like what happened with minecraft, this time he enters the calculater and this is how the video started, and that's why he was so agressive because he want out, so at the end he was asking the e for exit and he even wrote it with ×eit. however moving him through the higher dimentions of the Gama function didn't let him out but it sent him to Animation VS Physics which you should watch too.

If no one else has explained, this orange stick figure is a protagonist or deutero-protagonist of several videos and shorts. He's known as The Second Coming (TSC) for... reasons. If TSC can be said to have a particular power, it's that he learns extremely fast. He also seems to be a gifted martial artist, but that's possibly something he picked up in passing. Most content involving TSC is meme style humor, with a few longer form story vids. Animation vs. Math and the follow up Animation vs. Physics are most similar to each other.

19:46 "I feel like to watch this you need to know quite a bit of maths" Yeah that's why simple computer scientists like me watch reaction videos from actual mathematicians to at least get _some_ idea of what's going on 😂

8:20 No its 2048 26:55 If you havent watched the Alan Becker channel, the stickman has his own world, (not a world a computer) Watch Animator vs. Animation for context 27:50 Its Aleph, i dont know why it has no 0 at the bottom (For the full name Aleph Null) but its the Smallest Cardinal Infinity

i love your passion for maths, and the way you pause the video to understand it for yourself and explain the things for us is really cool

The last symbol in the back at the end is aleph, for the categorisation of the infinities.

26:09 the stickman is trying to explain that he is looking for the exit, so he is spelling out the word "exit" using the available maths symbols.

Thank you for the straightforward non bs intro and keeping it that way all the way through. Quite refreshing and it's been a while since I've seen a decent reactiom video.

Awesome sauce, I love watching reactions to this. Next one should be 'Animation vs Physics. So cool that you are from Cambridge, my most favorite mathematician is from there, John Lennox. Being a meteorologist, wasn't too hard following along, although my maths is a bit rusty. Enjoyed the video. 🥰

Great analysis Ellie! Btw, you can move through a video frame by frame with < and > while the video is paused

this was very in depth observation and explanation of the animation. It was very entertaining, great job

Alan Becker is just a famous animator/channel in general, and this was probably the video of his that exploded the most fiercely.

This animation I feel does an incredible job at showing regular people the depths behind some basic mathematics. Turning negative one into the format of Euler’s identity showed me that even seemingly ‘simple’ things had endless complexity behind it, and it made me really curious to find out more about what was going on. It’s a really good animation for that reason.

Great video and thank you for pausing and explaining the math concepts ❤. Also I think the big letter in the end is the hebrew letter "aleph" and its big because one of the infinities is aleph 0

The zeros were showing that the clashes of weapons (which were expressions) when added to eachother (clashed together) would equal 0. Example: the first time you saw them, it was a clash of +1 and -1. The odd symbol in the background at the end was a Greek symbol called “aleph” and the reason it was blurred is because aleph null (aka. aleph zero) (the aleph character followed by a subscript 0) is the theoretical highest real number in a sequence of all real numbers counting starting at 0, 1, 2, … It is faded to the background because it is theoretical. (aleph one would be aleph null + aleph null and so on)

The game you're thinking of was called 2048 and was about getting to 2048, not 1024.

8:24 For me, when I see 1024 it reminds me of computers. Hard disk drives, memories and partitions. Because, the first time I really very deeply thought about 1024 is when I was giving an windows setup then I was 13 years old.

I've always had a love for the law of cosines and also it's relation to the dot product of vectors. Dot products are easy to calculate, but embedded in there is a bunch of information that can be pulled out with the law of cosines.

A few points: - At 16:00 they were showing that the arc of 1 radian on the unit circle has a length of 1. - At 19:06 the stick person uses a minus sign to flip sides - At 24:50 the "imaginary world" is rotated 90 degrees, presumably because multiplying by i rotates 90 degrees. - At 26:50 it's playing on the fact that the (hyper)volume of an n-ball is pi^(n/2) / Gamma(n / 2 + 1);

It was Aleph (as in aleph null) in the background

For future reference, you can skip frame by frame in KZfaq by using the comma (back a frame) and period (forward a frame) keys.

The giant at the end is Aleph null (i think)

I've never seen an Alan Becker animation analyzed until now! Superb!!

Thanks Ellie best reactions on this video ❤ i was looking for a video like this

all of the "Animation vs..." shorts are part of a larger universe that started several years ago with Alan's attempt at animating a stick figure. this one figure is the 3rd generation of it, and he and his mates have gone through some adventures so far. the last one ended with this stickman locked in a prison, so this particular short may or may not be all a dream of his while incarcerated. seeing that every serialized short got the gang some new abilities down the line, *IF* this short isn't totally disconnected from the main story, there could be some reality-bending stunts in the next adventure, which isn't totally off the table, since the main baddie has reality-bending tech himself.

I love imaginative animations that explain science. And while the mathematics in this video are mostly beyond my understanding, its still interesting to hear someone explain them. I hope more people react to these animations.

8:06 2048? You just need to get one layer farther! 26:09 You may not have noticed, but Stickman turned Euler into the word "exit!"

The best part about this is the visual explanation. Its funny and an easy way to understand. tbh later on it gets a bit more comlicated but i think we could have went a lot more in the park if our teacher would have had this masterpeace instead of the board. Most time was spent on just writing all down instead of understanding.

The small detail that when he gets shot by a negative sign the stick figure mirrors its side, lol. Not even a mathematician but that made me chuckle

8:11 2048 is a fun and interesting game, but it takes FOREVER to actually complete the game (maximize) I have yet to approach the biggest tile in 4x4. *I still play it sometimes.

The giant letter at the end you were asking about is the Hebrew ALEPH. In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets that can be well-ordered.

"How many years was that, I don't even know?" This might be a problem with your degree in maths......lol

As a person who hasnt learnt the complexity of math..im loving how passionate you are..

Thanks, super interesting. I always love maths but have never done this advanced stuff but it seems to make sense.

Was really exciited to see another mathematician reacting to this on my recommendations and looking forward to seeing you catch and understand the references Was wondering if you were gonna catch how the camera rotated to its side when they entered the imaginary plane I hope you also have a look at it's sequal 'animation vs physics' c: Also near the end when it showed exπ, Orange (as we call him) was trying to spell exit to go home to a computer desktop he lives in with some other colourful stickmen^^

Hey ellie! Plz watch animation vs physics too! Because that orange stick figure was teleported from the math world to the physics world in which you have seen at the end of that episode

one of the Best Reactions out there ^^ you tryed to find everything ^^

The square root of 2 can be written as a continued fraction with 1's in the numerators and 2's in the denominators.

Although it was really cool to see Euler's identity being the main focus i would love to see some trigonometry action. Great video and great reaction!

This is definitely the best and most informative reaction video of all the reaction videos.

As a lowly Oxford mathematics graduate, I can hardly understand why I hadn't seen these videos before. Maybe it's because it looked so similar to many other videos that I have seen, so didn't bother. Or maybe it's just the painkillers I'm on scrambling my brain too much and I actually have seen them. Either way, it's a brilliantly done series, and you explain it incredibly well. It's been a long, long time since this stuff was fresh in my mind, and although I'd definitely understand what's going on in general terms, your analysis lends a lot of detail and clarity to such a deep and subtle video. Thanks.

To put any stickman animation into context you should watch some of the original Animator vs Animation sketches by Alan Becker.

8:45 - 2048, but yes. I like 2 powers cause I'm in computer programming.

At 26:08 he spelled "exit", they were searching an exit for the stickman and at the end the giant thing was aleph - null

There is in fact a continuation to this, after Stickman/Orange/The Second Coming gets sent away, he appears in another numbers based realm, one focused on Physics this time. So Animation vs Physics. It's an amazing watch and I'd recommend checking it out.

26:10 that stickman formed the word EXIT to hint euler to help him escape that world.

Mathematics is the power of Human imagination. Imagination must be a universal language. The universe would have to be conscious to imagine.

23:04 love how the integral staff attacks in circular motions!

The constant fighting was to represent the endless struggle between humankind, and the mathematics that underpin the universe. As in their video - yes. Mathematics and human beings do _'work together,'_ bringing more and more understanding to humanity.

also. i love how the bow the stickman (technically called "the second coming") uses shoots 4s. because its made out of a 2. another 2 a X and a =. also. the reason why the transformer used the integral as a staff is because he blocked the stickmans function beam and turned it into an integral.

26:52 I think that’s the generating function for the n-sphere volumes, so he is rebuilding the whole R^n

At the end of the stickman was trying to get home and at the very end that thing moving in the background was Aleph being representative of infinity

Damn, first an Oxford mathematician then a Cambridge. People all over praising Alan!

Stickman was searching for an exit, Euler's identity made him a makeshift multidimensional teleportation series. The big thing in the background is Aleph (first letter of the Jewish alphabet)null, the smallest infinity (all natural numbers). Check "Counting past infinity" by Vsause

Very nice video Ellie💟

A very brief history. Stick guy was originally one of several sentient(2d) programs living on a computer. But in a fight he was deleted, reduced to just numbers and basically was looking for a way to manifest. He thought imaginary numbers were the key, but Euler told him (All of this is unreal, he needed to go to Higher dimensions to become real again!)

So what TSC = Stickman was trying to was leave the Math World, not to go to the imaginary number dimension but return to his own dimension. I'm guessing Euler worked out the mathematics to reach into a higher dimension in order to get TSC home. The giant symbol in the background was an Aleph the first Hebrew letter. I'm not sure what Alpeh represents in the math world though

Alan Becker has 2 story made with stick character, all the one with hollow head have a name and this stick figure is named The Second Coming (or TSC for short) if you liked the video i sugjest watching "animation vs animator" and after episode 3 you can watch "Animation vs Minecraft"

Close, the game was 2048 and the method of doing well is maintaining swipes towards a certain corner so that the largest numbers clump closer to that corner.

I love that she just calls the second coming, stickman lol

The big symbol in the background is the hebrew character for Aleph. It is also used in higher levels of mathematics within number, and group theory.

14:21 if you forgotten Positive & Negative The stickman Holds "+1" which is Positive and Euler's Identity have "-1" using in Problem +1-1=-1+1=0 do when the e uses "-4" the 4 decrease to reach 0 which is sometimes called "The Origin"(0,0 in terms of Axis) -4+1=-3,+1=-2,+1=-1,+1=0

2:27 has to be the greatest team up of all time, completely unexpected and amazing.

That gameyou mentioned was called 2048 The default one said you win when you reached a tile that had 2048 on it, but infinite mode let you go as high as you wanted. On a 4*4 grid, the highest number I managed was a 16384 (2^14) before I d*cked up real bad. On a 4x4 grid that is. On a 6x6, I had millions. It did take an awful lot of time to get them though.

when i think of the number 1024, i can only see it as the true value of 1 Kilobyte (KB). 1024 B = 1 KB, 1024 KB = 1 MB, etc.

26:09 I love how all the smart people that react to this understand all the advanced math then don't understand that TSC is just trying to spell "exit"

Love the use of matrices

I’ve always hated math in school but now in my twenties i’ve been wanting to learn more about math and I have NO idea why. Also the one at the end is an Alef Null (I think that’s how you spell it) infinity function if I remember correctly.

the stickman was trying to find a way back home, that's why he made the word exit with e^xiπ with the right half of π covered to look like a T

That thing in the background at the very end of the video is called Aleph_0, or the smallest infinity.

I understand just enough about complex math to understand that i don't understand it. this does make it interesting now.

So when e^i(pi) and TSC (the stick figure) got out of the imaginary plane, TSC took a multiplication symbol and put it between e and i(pi), then covered up half of pi. That was to make e x i t, so TSC could leave. (Didn't figure that out until someone else reacted to it.) And the dark thing in the background at the end is really hard to see (I didn't know it was there until another react video pointed it out), but I think it's aleph.

8:12 I think it was called 2048. But yes I remember it. As a ICT and electronics engineer, I remember 1024 as 2^10 ≈ 10^3. It's 2.4% off, good enough for quick estimates.

The big thing at the end was aleph. Good old countable infinity. A foggy behemoth indeed

one reason i love the game 2024 is also because it helps with converting between binary and decimal (i program)

The orange stick figure with the hollow head is TSC (The Second Coming). Just a bit of Alan Becker "Animation vs. Animator" lore.