Here have a comment :) Nice music and nice math 👌

The sequel is even better somehow! >w

Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro Triangles anime intro

1Kth liked

loop spinner but its calculus is more recent, how can it be a sequel.

It's common to get seizures when you're stressed

You got a good last brain cell explaining everything you need with good music

Yup, username checks out... Pack your things everybody youre not gonna top this!

maybe thats everybody else

Same

Ah yes, is this how they created the pyramid?

@@xXRusky_SevmorXx ancient egyptians discovered congruent angles, said “HELL UEAH BIG FUCKING TRIANGLES” and created the pyramids. very logical thought process! /j

@@eyemoisturizer yeah SCIENCE BITCH!

Well I mean, were they wrong?

​@@PikaveeT I'd argue this video, and maybe their cool ass pyramids, prove them very right.

this reminds me of phigros

too simple, or too complex

geometry dash

⁠@@faridavanessazerondoblado89nah gd is just clicking a single button but like really fast sometimes (i play gd, i know how it is)

gd is a rhythm based platformer, not a rhythm game. also it is literally just clicking the same button over and over​@@faridavanessazerondoblado89

hi i'm a big fan i was wondering if we could be buried in the same grave

@@theredbanana149 That's fine by me

@@tiszach aight cool thanks mate

@@theredbanana149 No problem

This comment is an ARC beCOS it’s a SIN it doesn’t have more likes

🤣

b-but class literally says the same thing

​@@EasternStory many story games combine the two

Pythagorean philosophy and theology: am I a joke to you?

as a triangle i can confirm this

What a strange but accurate take

@@Dodonko yes

Spittin factss

I think bad apple is modern bad apple

How to get Lagtrain (ft. Maths) Bad apple - Touhou = Lagtrain

evangelion 💀

​@jatinore4626 I watched a 2 hour summary of Evangelion and I know less after watching than I did before

@@clintelkins9630i just always assumed it's how the japanese see the bible

@@jatinore4626I like how we all clicked on this comment just to say Evangelion 💀

So glad we're all thinking the same thing. This really would fit into Eva though.

I think they were inspired by the video overlaying a Cruel Angel’s Thesis over the same geometry video, released around 5 years ago.

Im more surprised they found this educational video from the 70s. Like where the hell did they get that?

Best part is*

@@anomienormie8126 probably the video the person above you mentioned

@@anomienormie8126 link in the desc

Omg Will‼️‼️

Though ur cover is my favourite

Now you gotta make the same but with your cover

yo it's the harumachi clover guy!

A one..

You got en EUREKA moment. Lmao

me too bro me too

Pissagorean*

@@e1ix1r8 man i love piss

@@traskforge -sniper tf2

Wow you have a really nice math teacher there

Huge respect

certified congruent angle moment

What a great teacher

This variant of Lagtrain or the Congruent Angles video?

Anything that can help you in math is inherently a good thing, fair play to you!

Yeah I only now learned where the a² + b² = c² but comes from

@@dandanthedandan7558 Same. I was mindblown by that. Its such a random thing, but it makes so much sense. It makes me wonder, how in the hell did those guys discover that way back then? What kind of line of thought leads you to that? Do they just ... Sit down and do random things until they discovered it? It is amazing.

​@@aname6794I suggest watching Veritasium videos if you want a quick lesson on the history of abstract mathematics, shit gets wild lol

Yeah, literally just define concepts and build upon them. First you start with a unit circle with its center on the origin of X and Y axes, insert a radius with a length of one in the center such that it touches the edge. The horizontal distance of the end of radius from the Y axis is the cosine, and the vertical distance the end of the radius is from the X axis is the sine, and with the radius as the hypotenuse you get a right triangle. You can figure out things like the length of chords being directly proportional to the radius and their length is like 2cos(angle)*radius or 2sin(angle)*radius if you draw a line from the center to the chord’s endpoint, depending on which orientation you positioned it (assuming completely vertical or completely horizontal). And the distance the center of the chord is from the edge of the circle is like (1 - sin or cosin (angle)) * radius

"random underage anime girl' LMAOOO

Kaai yuki* + I think they’ll know it’s a music video

​@@ruendheart it isn't Kaai, she is the younger one that appears on the older videos like tears radar and such, the one that looks slightly older and is made in a different style is Osage-Chan, a character made for the songs, she was created when inabakumori hired an artist to do music videos and the like and is now the face of the voice even when the one singing isn't Yuki.

@@SpecterNeverSpectator I don’t listen to that shit a lot I usally assume it’s the vocaloid who’s singing leave me alone

@@ruendheart it is kaai singing, she just isn't the girl in the video, but don't worry bro I was just saying, I'm an inabakumori fan and I want people to learn about him cuz I like the guy you feel me, I was just geeking out

Ancient Greeks actually modeled most of their math purely in Geometry as it was seen as the best natural mode of math. They believed most, if not all, math could (or simply should) be solved with a ruler and compass. There are actually some not-frequently-taught techniques that are similar to the ones shown in the triangle vid about drawing shapes using a ruler and compass that in modern times would look off without the foundational mathematical knowledge. In addition: “Squaring” numbers literally meant using squares to calculate the squares of numbers and solving quadratic equations involved completing the square by similar means. Of course using Geometry alone didn’t give them insight into concepts like imaginary/lateral numbers and a lack of coordinate based systems also didn’t leave too much room for discovering negative numbers in their systems. These limitations followed mathematicians into medieval and renaissances Europe until a few key mathematicians tried solving the general equation for a cubic (and quadratic besides). There’s a few KZfaq documentaries/essays that go further on these topics and they’re quite interesting with how weird history has treated math as a profession and science.

There's some 200 intuitive ways to show pythagoras theorem, it's been getting remixed for thousands of years now :D

@@alexnoman1498 my worldview getting cracked tf open by this, meanwhile my boring ass maths classes literally just had me memorize Pythagorean and never showed any of these awesome models. Not that I had to see them to know how to use it, but now I totally get how it works and that's satisfying

If you enjoyed this proof, look up Albert Einstein's proof of Pythagoras:)

WHAT THE FUCK MY MIND IS BLOWN TOO

i guess you could say she stopped lagging behind with her studies

@@cherryyy594 🙄

@@cherryyy594 😐

@@cherryyy594 Damn bro, you got the whole universe laughing.

triangles....

@@meltyholic i you like this video check out this kzfaq.info/get/bejne/Z6mBmaiYnLfDqps.html

Ok but brasileiro detectado

@@ProfessorVickZ, brazucas nos comentários! O.o

@@thaisirina olá amigos

@@ProfessorVickZ :V

For some reason lagtrain makes everything more understandable, considering I love this song and I have a test on exactly this subject tomorrow, I see this as an absolute win

Summary of congruent triangles: Literally just a triangle being the same as another triangle

@@irrelevantonyt and what you can do with it like understanding the formula of pythagoras

Its fairly basic if I do say so myself

pretty simple, if something is congruent it means its the same. same triangles and stuff that is explained because of that simple rule

Basic concept, I know if you are willing to learn it, you are smart enough. A triangle being the same as another.

Came here to say this!

the spiral at 3:28 isn't actually a golden ratio spiral, it's a spiral of theodorus, which is even cooler in my opinion. it's made out of right-angled triangles where the outer edges are all 1 and the hypotenuses are square roots

Me but the mandlebrot looking fractal just before

@@nltiro3387 that one's called the dragon's curve i think

pythagorean theorem for me

is that a jojo reference

or be the most confused guy in the world cuz 40 years ago is a long time lol

@@cycy8699 Nah, I' had read enough sci-fi by that age to accept what I* was telling me' and that he was a time traveler to boot: me and I* wore the same face. Sure, I* had a couple of scars I' didn't recognize, the glasses didn't surprise me, and I* appeared to be able to grow a much better mustache by then. But even more importantly, I' had read enough time travel stories to know that the best thing for everyone would be to accept what I* was saying and get me* out of there and back to my' future ASAP. Nothing good ever happens when time travel is involved. I* knew that too, so I* would tell me' everything quickly, make sure I' understood, then get out of there. The only other thing I* would tell me' is that Yes, the Cubs win at least one World Series. Hope is a good thing to have when you're a Cubs fan.

@@Wonderduck1 *I*

@@Wonderduck1 Cubs fan...

@@Wonderduck1 Hehe, I' makes me think of f'(x), I'm sorry but you've been differentiated

At least they're not identical.

This is funny for absolutely no reason, and i love it

circumcumcumcenter

Circumcise the triangle.

@@kakyoindonut3213 c-c-cum 🤬👍😡🤬🤬👍👇😩😂

@@kakyoindonut3213 get out

@@toodles8242 circumcumcumcenter

its about geometry i think

@@odirceR yeah, trigonometry, or however you spell it

It's about trains

its about drive, its about power

It's about trains

Memento Mori

Hmm to me its the re-occuring pauses in motion just like the animation, it fits insanely well doesnt it?

LEYkxZSIBko Put that into KZfaq for geometric shapes moving to music.

@@Wonderduck1 i thought that would be a rickroll, but it was far worse

There actually is a version with the Eva op funnily enough. Clearly you are (not) alone in that opinion.

I can't express how much i agree with this. Somehow the lack of the original MV gives more impact near the end than if it had been put throughout the whole video, i think.

somebody really likes triangles...

​@@sdaniaalEverything is triangles. Our life is a simulation

Bad apple with triangles?

Bad apple is much bigger tho. Look at my playlist, and you'll understand.

@@captainfa-it-lcon915 any of those are triangles?

@@Garwinium maybe

@@Garwinium found it kzfaq.info/get/bejne/kKeVa7RmrbO1aWw.html

Oh boy you have no idea how many times I've done exactly that

its the spinny at 1:29 for me

Were only certain parts satisfying? For me it was whole.

yeysyesyyeyseyeyesyseyseyseyse pin this

poggers

Interesting

Algorithm Gang

im hyped AF

You're not alone

Right here buddy

We can enjoy it together!

My brain go "mmmm geometry.. Look good."

this described lagtrain way too perfectly from a geometric perspective

I collect peoples imaginings of machines and their experiences, this is one of the mist interesting and sadly beautiful of any of them i have found. Your mind inspires me, thank you for having shared this thought

story of maths

The machine completely lost its mind when it entered fractals, thats for certain

it is just triangles

I was just joking earlier that if I were to become a math teacher I would play this video asap while discussing potential career paths lol Imagine though that'd be based

Its pretty distracting tho so maybe a more chill version of this would be better for actually learning

@@A_Yk. also it doesnt really explain anything. Playing this video along with some commentary to explain whats going on would be nice. I don't think anyone just learning a topic would understand Pythagoreans Theory just by seeing the numbers and that triangles make a square. It's not a super difficult subject under normal teaching circumstances but something like this would just make it so much more difficult

It's just like the hypnograms and some mk-ultra shit.

​@@choog2752 It's from a teacher aid video from the 60's and 70's. The actual video makes good use of meshing vector graphics and photos together with a voice over. It's amazing that the best schools can do nowadays is print out the explanation on black and white copy paper when these exist from the 70's.

My favorite is 2:53

Well yeah, of course it's awesome! Defining a circle using triangles, tiling space using triangles, and demonstrating the tesselating pattern of a particular fractal, _all simultaneously!_

True, but it’s probably cuz this is teaching things from a foundational and very mathematical point of view, rather than a simplified understanding for high schoolers to pass their tests on.

@@AlexisAlexander646 People tried to understand it from the most fundamental level for thousands of years.

@@fatitankeris6327 Exactly. My point is just that the way mathematicians might explain these concepts in some very detailed form is not exactly the same as a high school teacher teaching teenage students a definition and a few problems on a test just for them to forget one week later. I just find this video to be pretty impressive in showing how these "basic" concepts can actually be very complex in the world of geometry and math.

now I finally understand El Psy Congroo...

My english vocabulary needs a widering