For those who don't understand how this works, for every 1 rotation of the center line segment, the outer line segment will rotate pi (3.14159....) times around the center line segment's endpoint.
Fun fact: This happens with any irrational number. A little more fun fact: The closer the irrational number is to being rational, the closer it gets to just barely closing the loop. Pi has the number 292 in its continued fraction form, which means there are some “small” fractions like 22/7 which approximate it well. This property of pi is why the loop is very nearly closed, but it just misses by the slightest amount. Other numbers like the golden ratio have smaller numbers in their continued fraction, which make them miss closing the loop with greater error. In fact, the golden ratio is the farthest from being rational because it only has ones in its continued fraction. That said, doing this with the golden ratio will make it constantly miss by a long shot, always, and no other number could make it miss more than the golden ratio does. Now, Euler’s number (e) on the other hand, has a continued fraction of ever increasing numbers, which means it eventually surpasses pi on how close it gets to actually closing the loop. It would start out missing by a lot, but as you run it longer, it gets closer and closer to closing the loop, forever. Let it spin around for 10000 cycles, it would basically look like it’s closing the loop, but really it’s not, and it’s actually just microscopically close. So… Golden ratio: always misses by a lot Euler’s number: gets closer each time Pi: gets super close periodically That makes the golden ratio and Euler’s number special irrational numbers, but pi getting super close periodically does not make pi special. Almost all irrational numbers get super close periodically, and how frequently they get super close is based on their continued fraction. Pi has that number 292 relatively early on in its continued fraction, so it gets super close frequently. But almost all irrationals have a sequence of normally distributed continued fraction coefficients, which means almost all irrationals have some point at which they suddenly get super close to closing the loop, periodically.
for those who didnt understood : Pi never repeats its digits and so the two moving lines which have a constant ratio and ratio of angular momentum also has the ability that the path made by it never coincide (repeat)
This is the thing I love about pi, it taught me that everyone has their own flaws but we should embrace them and find beauty in the big picture instead of weeping over the small details. It also taught me how I should stop commenting about an irrational number and quit procrastinating.
It did give me one lol The pursuit for perfection is infinite and you may find yourself in a loop forever without noticing how beautiful you've become, "good enough" is...well, enough.
Quantum spin over Visica piscis - cardioid like projections - symmetry’s for non locality where linear relationships between observers and measurability’s must be updated for entangled particles where such demonstrations of consciousness have intervened - the length of the pivoting arm acting as were the diameter of a harmonic spherical moduli or first increment of the wave function…. mwah
The golden ratio is the signature of Almighty Allah. Everything from galaxies to tiny atoms has a golden ratio. This proves the creation. There is no coincidence as atheism claims. There is only creation.
@@fascinating.fractalsquestion: is your whole channel creating mathematical fractals? Are you creating them from drawing or is it some kind of program you wrote? If it is a program is it possible to convert it to GLSL shaders?
You know if they showed shit like this in school when learning about pi- I feel like we all would’ve been far more engaged- visualization of equations or just how they relate to the physical plane is endlessly interesting.
If this were the thing that made you care about learning math, you'd be in it for the wrong reason. You'd be likely to end up like one of the crazy people who spend inordinate amounts of time pursuing some math solution to a problem that doesn't exist, occasionally screaming at the world that reality itself must be broken because they can't figure out the problem, which isn't real. Math is language. Numbers are words. In different contexts, words carry different meanings. If your numbers don't pertain to anything in the real world, it's not really math, just wordplay. Art, not science. Pi and other irrational numbers are like religious invocations, they're special words that carry specific meanings across contexts because they're more substantially defined and tied to one thing. Humanity invented numbers to interpret reality, found they alone were insufficient, and then had to invent irrational numbers which didn't fit into imagined neat euchlidian shapes like the other numbers we'd invented. Now after thousands of years we look back and astonish ourselves with the fact that we didn't invent the universe... and we call it progress... I blame the education system.
A roller coaster of emotion. It's like when you're half way to getting an answer and you know it's gonna be a messy one, but you get a nice answer in the end.
Ephesians 6:10-18 Finally, my brethren, be strong in the Lord, and in the power of his might. Put on the whole armour of God, that ye may be able to stand against the wiles of the devil. For we wrestle not against flesh and blood, but against principalities, against powers, against the rulers of the darkness of this world, against spiritual wickedness in high places. Wherefore take unto you the whole armour of God, that ye may be able to withstand in the evil day, and having done all, to stand. Stand therefore, having your loins girt about with truth, and having on the breastplate of righteousness; and your feet shod with the preparation of the gospel of peace; above all, taking the shield of faith, wherewith ye shall be able to quench all the fiery darts of the wicked. And take the helmet of salvation, and the sword of the Spirit, which is the word of God: praying always with all prayer and supplication in the Spirit, and watching thereunto with all perseverance and supplication for all saints. The bible is no old book. You have to really let Christ open your eyes; to see the world in shambles. Many people say it's a religion to lock up people in chains, and say it's a rule book.. why? Because people hate hearing the truth, it hurts their flesh, it's hurts their pride, it's exposes on what things have they done..people love this world so much, s*x, money, power, women, supercars.. things of this world. Still trying to find something that can fill that emptiness in your heart. You can't find that in this world.. only in Christ, the bible is no chains, it's a chainbreaker. Breaking your sins into pieces... Repent now, and turn back to the true Lord only.. God bless. ❤❤❤
Dear fascinating.fractals really chose to make the most dramatically build-up video with an incredible twist being set through music alone and showing this through deep and inner support of knowing that EVERYONE OUT HERE is questioning reality itself right now-
Normally we think perfect things are relaxing but this... This is fascinating because it's imperfect. Proof that imperfections make everything more beautiful.
I love this whole comment section… from saying suspense, expressing love to existential crisis. We could be good friends… wherever you are, have a great time
@@HongHong-so1mk is that where the music comes from?! Holy schmoly I have to watch that movie ... I've seen the composer name "Ludwig Göransson" in the description, I didn't realise it was so recent.
That's the beauty of this. It's a paradox. It never traces over the same shape twice and continues drawing new lines/arcs forever, yet never fills the circle in completely.
It isnt a paradox, but it something that for human normal thinking, unexpected, since pi is irrational and its digits continue infinitely, no matter how much time passes, the trace will never return to the origin and the circle will never truly be filled because the Nature of Pi
@@Deimos4500 The paradox is that you can draw inside the circle forever and never fill it up. In fact I'll give you one more layer. You can have an infinite number of these running, all from a different starting point, and still never have them overlap each other. And the circle *still* won't fill up completely.
“And we created everything in divine proportionality, yet you do not see/observe”- from a holy book that was revealed to a man who could not read nor write 1500 years ago. Wow.
You just might have. The universe is a series of cosmological events repeating itself but with the influence of time. Bound to never be the same but seek to repeat the same actions.
In the first sequence of the equation, you could see the flower of life pattern in the center until it’s fully enveloped, almost like it was creating a world in itself.
Thiền định - tĩnh tâm , hoàn toàn đồng ý với bạn và tôi thật sự rất thích tác phẩm này . Nhìn vào tác phẩm này tôi như cảm nhận mọi sự và vạn vật đều đều trong đấy cả . 💫🌙☄️🌠🌌🌍
I found this oddly satisfying watching it coming to form and then at the end it still didn't connect. What is actually happening anyone got an explanation? 😊😍
One of the things my father always made sure I knew was that math could be beautiful. Too many people are intimidated by the numbers and places and symbols that the inherent beauty is simply... lost. Thank you for this, I had forgotten.
I who feared mathematics my whole school life...fell in love recently with it. So much elegance,so much beauty hidden in mere letters on paper. Only the lucky ones get to see that.
The first near-miss should correspond to 22/7 (i.e. 7 rotations of the inner axis, 7*pi=21.991... rotations of the outer one), the second to 355/113 (error of about 1 in 10 million)
@@PRATHAM_TALUKDARWithout checking if that is correct (it probably is) Looks like they arrived there through a case of Euler's identity for which x = pi e^(ix) = cos(x) + isin(x) e^(i*pi) + 1= 0 So if x= pi then e^(i*pi) +1 = cos(pi) + isin(pi) +1 = -1 + 0i + 1 = 0
This is the best YT short I've ever seen. Any y'all saying this is unsatisfying are missing how beautiful it is that the circle was _almost_ filled in, the vid slowed down, slid sideways to centre the action, zoomed in, and revealed it was never, ever gonna line up, and here we go all over again. That's the whole visualisation of the proof right there, and perfectly synced with the score. This short is perfectly satisfying as it is. Bravo, creator. 👏
It's like the line really has no width. Because this can go on for decades and centuries and there will always be spaces inside the circle left to draw on. Strange.
And I hear people all the time say how bad the internet is because social media is ruining everything, but it all depends on how you use it. I rarely see negativity online because I just stay away from it. The internet is a great tool with unlimited power and possibility as long as you use in in a positive and constructive way.
@@iIIuminious Couldn't agree more with you, I just wanted to make sure that hidden meaning of the video is not misunderstood by anyone reading this comment
@@adamstojewski558 Who said that being imperfect is being nothing. Imperfect means it is not according to your style. That's it. Imperfection means you have an expectation but it is not able to reach you. Its not necessary to reach you right. Doing nothing means the starting 2 lines in the video. Your path might be unclear, You may not reach the end point. But the process make it beautiful. Trust the process. Sometimes UA-cam makes me motivate myself by making mind post these kind of comments.
In case anybody is curious, the two moments where it almost matches the previous trajectory are after 7 and 113 laps: 7π=21,9911 113π = 354,99997 (That’s why the second time was much closer)
@@charlietully7377 No. I expected a well written, in depth description of the reproductive process of seahorses and how it relates to black holes and gravity.
@OtakuUnitedStudio perhaps have the students pay for the party, instead of being a raving pessimist not knowing the salary of a teacher and that all of that party shiz comes out of it.
Well the universe is built out of this stuff so ofc it's beautiful, the universe is. But it can also be so ugly sometimes. Depends what in particular you're looking at.
Well it is always beautiful don't blame yourself sometimes it's depends on how much you understand the person who is teaching you I know it from my personal experience. About Engineering Mechanics 1st time in my college I hates it but then I attended other professor class and now I love the subject and now I teach students Engineering Mechanics as a assistant professor.
If you enjoyed this pi video , there's a sequel "Phi ( Golden Ratio )". Checkout most popular shorts in my feed.
How do I grab that link?
Im not good at math, i don't even know additions and subtraction but I stay under this comment!!
This music is so beautiful
i was the 100th like
@bo-to9pb how? Thats the most basic unit to understand being the additive property and subtraction property
mans dropped the most cinematic math edit of all time as if we wouldnt notice
Its the music
*maths
Impressive how Oppenheirmer's theme makes everything so epic and profound!
The alan becker of yt shorts yooo
@@fascinating.fractalsthis helps make math more interesting. Thank you for showing us this when some of our teachers didn't.
"The day will come when the stars align"
*The stars:*
Sounds like something a H.P. Lovecraft would have written.
Biblical reference???
Or SCP?
lmao my life fr
😂
For those who don't understand how this works, for every 1 rotation of the center line segment, the outer line segment will rotate pi (3.14159....) times around the center line segment's endpoint.
😂 I didn't understand but I like this 😂
It will hit the same point then because computer has finite accuracy 😌
oh! I get it now, thanks
I will not ruin 314 likes
@@অভিযাত্রী Too late
Fun fact: This happens with any irrational number.
A little more fun fact: The closer the irrational number is to being rational, the closer it gets to just barely closing the loop. Pi has the number 292 in its continued fraction form, which means there are some “small” fractions like 22/7 which approximate it well. This property of pi is why the loop is very nearly closed, but it just misses by the slightest amount. Other numbers like the golden ratio have smaller numbers in their continued fraction, which make them miss closing the loop with greater error. In fact, the golden ratio is the farthest from being rational because it only has ones in its continued fraction. That said, doing this with the golden ratio will make it constantly miss by a long shot, always, and no other number could make it miss more than the golden ratio does. Now, Euler’s number (e) on the other hand, has a continued fraction of ever increasing numbers, which means it eventually surpasses pi on how close it gets to actually closing the loop. It would start out missing by a lot, but as you run it longer, it gets closer and closer to closing the loop, forever. Let it spin around for 10000 cycles, it would basically look like it’s closing the loop, but really it’s not, and it’s actually just microscopically close.
So…
Golden ratio: always misses by a lot
Euler’s number: gets closer each time
Pi: gets super close periodically
That makes the golden ratio and Euler’s number special irrational numbers, but pi getting super close periodically does not make pi special. Almost all irrational numbers get super close periodically, and how frequently they get super close is based on their continued fraction. Pi has that number 292 relatively early on in its continued fraction, so it gets super close frequently. But almost all irrationals have a sequence of normally distributed continued fraction coefficients, which means almost all irrationals have some point at which they suddenly get super close to closing the loop, periodically.
love this explanation, thanks!
not a very fun fact; kinda boring
@@pucie_boi boo
@@pucie_boishut the f up, if you can't appreciate the art behind the explanations don't you dare to say anything.
WHY IS THIS SO INFURIATING AND SATISFYING AT THE SAME TIME
Just like all things that are infinite. There's a satisfaction that it will never end but it's also infuriating because it never ends.
@@vilespecter holy Hermes that’s deeper than I’ve ever seen on a UA-cam comment
bro you've said daylight series "same time"
bro you have said daylight lyrics "same time "
So true. I felt the same way
for those who didnt understood : Pi never repeats its digits and so the two moving lines which have a constant ratio and ratio of angular momentum also has the ability that the path made by it never coincide (repeat)
So why not an end if they don''t repeat
@@North_Red_Dark_Academia because it's irrational and thus it has infinite digits found nowhere else in math
@@snowypringles3393 how long are the "digits"
@@North_Red_Dark_Academia infinite, the more you do the division the more infinite numbers you will see
@@snowypringles3393 no shit infinite, there's no chance a number can go for as long same as the pi
That's why the worst sin in geometry is to believe your eyes
Not to confuse sin with sin
But what is the worst cos?
This does look like 90° so it must be 90°
@@HydrasitoOr the worst tan?
Yeah cos you can never trust anything
This is the thing I love about pi, it taught me that everyone has their own flaws but we should embrace them and find beauty in the big picture instead of weeping over the small details. It also taught me how I should stop commenting about an irrational number and quit procrastinating.
So wise...
exactly
I never thought that pi would teach me a life lesson but here we are
Pi didn't.
Chem_Ish_t did.
@@scaler651k
That's deep man
I didn't know the visualisation of pi could give me an existential crisis.
It did give me one lol
The pursuit for perfection is infinite and you may find yourself in a loop forever without noticing how beautiful you've become, "good enough" is...well, enough.
@@jonnevitu4979 damn, i like u
writing that down
bro's out here discovering the meaning of life
while I'm here thinking that pi is a funny and delicious number
@@jonnevitu4979sir, this comment is truly beautiful and relatable for so many people out there. I'll start quoting it from now on
I think the music does a big part of it, the Oppenheimer soundtrack is just perfection
If Pi is being irrational, it's mathematical. When I'm being irrational, I'm dramatic.
When you're a fundamental math constant they really cut you alot of slack lol
Bro being a drama queen even in math class 💀
if 'math' are 'mathematical' and 'physics' are 'physical' than what are 'tests'?
@@aqeefizzudin1062testical!!!
@@aqeefizzudin1062 bro…
“My love for you is like pi!”
“Endless?”
“No, irrational.” ☠️☠️
Solid one m8
Math rizzz
Both
And still make the globe wholesome covered 💗
It’s like i
imaginary
I don't have an irrational fear of pi, I have a fear of the understanding the irrationality of pi
500th like
@@Will_kenny1 woah, never expected this comment to get so many lol thanks
@@legomeaker101potato no problem
Pi means the number of times the diameter is equal to the circumference of the circle
@@UltraDarkHacker bro thank you
The amount of love i have for this visualization will end when the line align
Binod
I
It will never 😢
How was this visualization made? And can I do the same?
It won't line up, that's the point of this video
@@TabeaTomadiniyep even if it gets closer and closer it will never eventually line up
Visualization on pi being irrational got more art skills than me💀💀
About to say that fr
Fr though why is it so pretty
He didn't drew that, he coded it 🤓
@@poleve5409yes
Be more irrational in your art I'll help
Quantum spin over Visica piscis - cardioid like projections - symmetry’s for non locality where linear relationships between observers and measurability’s must be updated for entangled particles where such demonstrations of consciousness have intervened - the length of the pivoting arm acting as were the diameter of a harmonic spherical moduli or first increment of the wave function…. mwah
40 years old and that was the best visual representation of PI I've ever seen.
The golden ratio is the signature of Almighty Allah. Everything from galaxies to tiny atoms has a golden ratio. This proves the creation. There is no coincidence as atheism claims. There is only creation.
40 years old and that was the first visual representation of Pi I’ve ever seen.
@@motherlandmars5999that doesn't prove shit😂
@@conscientunit1157yo dont diss him before you figure out what kinda drugs he is using, it must be some good shit to make him this crazy
@@motherlandmars5999you are insane lmao
This video is the most underrated video i have seen in a while.only 700 likes?i would love to see more content like this instead of discord memes
Not sure if this is going any far here! The same video on Insta got 75 million views.
Help I've already watched it 3 times it's so cool
@@KaiWang-mf2kn thank you so much!❤️
Wow bro this is just 🤯🤯
@@fascinating.fractalsquestion: is your whole channel creating mathematical fractals? Are you creating them from drawing or is it some kind of program you wrote? If it is a program is it possible to convert it to GLSL shaders?
If maths was more cinematic in school i probably wouldve followed a completely different career path
Same
If we had teachers like this
Yeah. They should have used CGI to get people into math. After all, Toy Story was only possible because of advanced mathematics :)
Maybe you're the one who weren't cinematic enough for maths and not the other way around.
You yourself couldn't visualise math that's why you're blaming your teachers.
You know if they showed shit like this in school when learning about pi- I feel like we all would’ve been far more engaged- visualization of equations or just how they relate to the physical plane is endlessly interesting.
If this were the thing that made you care about learning math, you'd be in it for the wrong reason. You'd be likely to end up like one of the crazy people who spend inordinate amounts of time pursuing some math solution to a problem that doesn't exist, occasionally screaming at the world that reality itself must be broken because they can't figure out the problem, which isn't real.
Math is language. Numbers are words. In different contexts, words carry different meanings. If your numbers don't pertain to anything in the real world, it's not really math, just wordplay. Art, not science. Pi and other irrational numbers are like religious invocations, they're special words that carry specific meanings across contexts because they're more substantially defined and tied to one thing.
Humanity invented numbers to interpret reality, found they alone were insufficient, and then had to invent irrational numbers which didn't fit into imagined neat euchlidian shapes like the other numbers we'd invented. Now after thousands of years we look back and astonish ourselves with the fact that we didn't invent the universe... and we call it progress... I blame the education system.
Pi has more character development in 30 seconds than I've had in my life of 30 years.
underrated comment
@aqup_ if there was a
r/gocommitdie of yt you'd be top post.
um… is your pfp just a regular, normal, mirror selfie, no seducting?
damn gurl you fine asl
This can also be a coding joke (idk if that was your intention)
"Sorry, I just won't do it"
"Pi, You're being very irrational right now"
Lol that is gold
This is the real visualization. The entire video was just a placeholder for this comment
It's so bright at the end 🔥🔥
Only to end up in the 4dimentional life Flower
I made 1k like
A roller coaster of emotion. It's like when you're half way to getting an answer and you know it's gonna be a messy one, but you get a nice answer in the end.
Ephesians 6:10-18 Finally, my brethren, be strong in the Lord, and in the power of his might. Put on the whole armour of God, that ye may be able to stand against the wiles of the devil. For we wrestle not against flesh and blood, but against principalities, against powers, against the rulers of the darkness of this world, against spiritual wickedness in high places. Wherefore take unto you the whole armour of God, that ye may be able to withstand in the evil day, and having done all, to stand. Stand therefore, having your loins girt about with truth, and having on the breastplate of righteousness; and your feet shod with the preparation of the gospel of peace; above all, taking the shield of faith, wherewith ye shall be able to quench all the fiery darts of the wicked. And take the helmet of salvation, and the sword of the Spirit, which is the word of God: praying always with all prayer and supplication in the Spirit, and watching thereunto with all perseverance and supplication for all saints. The bible is no old book. You have to really let Christ open your eyes; to see the world in shambles. Many people say it's a religion to lock up people in chains, and say it's a rule book.. why? Because people hate hearing the truth, it hurts their flesh, it's hurts their pride, it's exposes on what things have they done..people love this world so much, s*x, money, power, women, supercars.. things of this world. Still trying to find something that can fill that emptiness in your heart. You can't find that in this world.. only in Christ, the bible is no chains, it's a chainbreaker. Breaking your sins into pieces... Repent now, and turn back to the true Lord only.. God bless.
❤❤❤
But everything had a beginning....
@@VGODP and an ending =)
But had a mistake of adding +3 as -3
Decimal part of pi disagrees : )
I finally understood the meaning of this video after doing real math 😌
I wish there was a place to exclusively watch content like this. This is so beautiful
create a new YT account where you only watch math stuff like this
Just go to the channel who made this video, they have loads of similar content
Fractile projections?
There's a place for that, and it's called the Internet my boy, and that's why the internet is fantastic
There is a channel called ,,project Jdm" they do similar satisfying things similiar to this one
the strange urge to make this my profile picture
I can send you the 4K image!
@@fascinating.fractals
Please, give me the complete 4k image of it.😢
You did it lol
You actually did it
you did it 🎉
Dear fascinating.fractals really chose to make the most dramatically build-up video with an incredible twist being set through music alone and showing this through deep and inner support of knowing that EVERYONE OUT HERE is questioning reality itself right now-
Normally we think perfect things are relaxing but this... This is fascinating because it's imperfect. Proof that imperfections make everything more beautiful.
Blessed be Allah, the Creator and Lord of the Universe
But it is perfect
The fact that it doesn't connect makes me want to break something
Or that our concept of perfection is just a deception created by deceivers.😉🤔
Nah i want it to be perfect
This song, how much I miss watching Oppenheimer for the first time
Normal people:😮
Perfectionists:💀
Phi.
WYM? I've never seen perfection quite like this.
@@davidgravy2007totally accurate comment
It is perfection
Thought the line will meet with the first point at the end of the vid
Math is hell of a drug
yeah, it fucks up your brain a bit too much sometimes, little doses is fun but overdosing is not so much
my ol' grandpop died of math overdose 😭
@@junyan2811meth?
Meth
I'm rick James b-
I love this whole comment section… from saying suspense, expressing love to existential crisis. We could be good friends… wherever you are, have a great time
Hi let's be friends
Ew no. Humans are inherently dishonest
@@okdude91 and he ignores you
@@mumbernume4948 ya thats sad but do you wanna be friends with me?
Thank you
This is the best explanation of the value of pie using this masterpiece music at its best❤❤
Circles cant hurt you. Its just circles.
The circles:
SPHERICAL!
@@wanderingbufoonSpherical means in the form of a sphere, and a sphere is in 3 dimensions, while a circle is the right word for the main comment.
@@WALT1Zthank you kind sir
these arent real circles, these are fake circles designed to destroy you
first off, I was referencing something.
secondly, as you can see, it moves in a 3 dimensional path. Not 2D. @@WALT1Z
When you expect something so irrational to seem chaotic and misplaced, but in reality it becomes more beautiful the longer it continues
Poetry
@@cyprustwosixfive7575 agreed!!
What?
Jesus is King
Exactly
That choice in music bro... 🤯🥹
The editing is just brilliant, absolute chills!
Me too I was like wow!!!
Fr@@raniqueblackman8096
Soundtracks from Oppenheimer 2023. You probably would like "Quantum Mechanics" and "Destroyer of the World".
@@HongHong-so1mk is that where the music comes from?! Holy schmoly I have to watch that movie ... I've seen the composer name "Ludwig Göransson" in the description, I didn't realise it was so recent.
Bot
Mathematical analysis such as this reminds me of nature, and how the world constantly develops around us.
Math is actually fun if you have the right teacher to teach it to you.
yes
Like my 6th grade teacher, mr.... well call him Mr. Gates
ofc.indeed.
meth
given the student has the interest. can't just force those who don't have the interest to learn
Never knew pi was so pretty
Hmm, I don't know if I'm wrong but I kinda feel like I know you. Do you live in Delhi Majnu Tila??
Ki qute 😅😅😅 tame
Dude its just because of irrationality... This is selfly cool simulation
Tasty too!
If pi is pretty you should see Fibonacci
That's the beauty of this. It's a paradox. It never traces over the same shape twice and continues drawing new lines/arcs forever, yet never fills the circle in completely.
xD
It isnt a paradox, but it something that for human normal thinking, unexpected, since pi is irrational and its digits continue infinitely, no matter how much time passes, the trace will never return to the origin and the circle will never truly be filled because the Nature of Pi
@@Deimos4500 The paradox is that you can draw inside the circle forever and never fill it up. In fact I'll give you one more layer. You can have an infinite number of these running, all from a different starting point, and still never have them overlap each other. And the circle *still* won't fill up completely.
@@jeffrowisdabest well... yeah. You can't fill anything with something that has no area
Our point of view doesnt change. If it did, one might see perfection.
beginning: Ooh looks fast
Middle: oh my
End: *sonic*
Why did I watch this 42 times? I lost count, honestly. Amazing visualization.
I see what you did there
I watched it 3.14159....... times😅
I could watch this 22/7 🤓
Oh god , help , some one , im stuck😂
@halfwayphysicist7563 Nah that's higher humor props to u
Pi literally became an art genius☠️
this is called a polar curve
Rasengan
both of you are correct
Bruh, this one minute video had an entire plot
“And we created everything in divine proportionality, yet you do not see/observe”- from a holy book that was revealed to a man who could not read nor write 1500 years ago.
Wow.
Shut up lil bro
Visualisation on Pi shows how it covers the full area of a circle. Such an amazing art👍
Man single-handedly recovered our attention-span 💀
Still under 60 seconds with music, cool visuals, and edits...our attention spans are still f*cked
@@limejelo Fax
yes@@limejelo
@@limejeloit was 58 seconds but ok
he said under 60 seconds, what are you trying to say@@AdvancedGamer-
i feel like i just saw a universe being born
why does that feel like the best way to describe what this video is
You just might have. The universe is a series of cosmological events repeating itself but with the influence of time. Bound to never be the same but seek to repeat the same actions.
In the first sequence of the equation, you could see the flower of life pattern in the center until it’s fully enveloped, almost like it was creating a world in itself.
bro dropped the coldest edit on maths and forgot to give us blankets
when the math starts to make sense the night before the exam
😂😂😂😂
*Your crush likes you back when the lines align.*
Clearly irrational
I will be able to read the signs she keeps sending when the world is ready to divide by zero.
She likes me and we've been together for years!
You didn't need to say that...
Just recently she started feeling attached❤❤
Somehow this is exceptional advice 🫡
How artists draw circles:
this is amazing
Laughed today because of you. Thanks.
Just spin a stick.
@@user-zu1ix3yq2w the force of spinning will cause the stick to fall off the base
This is gorgeous
Can’t help but feel like this is the pattern our solar system makes as it flys through space in a continuum
Absolutely beautiful. Confined to the reach of the two arms, yet this dot will never copy it's path. Not in eternity. Math is magical 😊
Indeed ! I wish more people would see this!
If only this would make a woman fall in love with me. OuR love is like Pi, i will never be with another, always faithful to the original 😍
@@bigtxbullion😢
Nothing is magical 😑
@@rajmukhekar7468 not with that attitude 😉
It is absolutely fascinating how something could go on for so long, getting so close to closure, but being the furthest away from it at the same time
Like my quest for getting women
Half-Life
You've basically just summed up the story of my life. LoL
❤❤❤
@@jojobod
The best part about being us is when we recognize each other. 😀
@@angelsgrannyi love that phrase. beautiful
Am I the only one who wants to see this spread out over a much longer period of time? It would make lovely, meditative wall art.
Thiền định - tĩnh tâm , hoàn toàn đồng ý với bạn và tôi thật sự rất thích tác phẩm này . Nhìn vào tác phẩm này tôi như cảm nhận mọi sự và vạn vật đều đều trong đấy cả . 💫🌙☄️🌠🌌🌍
It does. Just look around. 🌀🧿
10 hour version 😂(I would genuinely put that on regularly )
How about the duration of the universe?
It would just become white after a long time
Thats so beautiful
Infinite paths in a limited space… something about that is just so beautiful
Man, thanks for putting that into words
Between every real number, there are infinite numbers
But the fact even if the points are so close but they never meet is scary. Fear of irrationality.
I found this oddly satisfying watching it coming to form and then at the end it still didn't connect. What is actually happening anyone got an explanation? 😊😍
Therapist: so, what got you here?
Me: pi…
Edit: thx for 1k in 10 days
Loool
ss
😭
…zda
ah... 666th like.
One of the things my father always made sure I knew was that math could be beautiful. Too many people are intimidated by the numbers and places and symbols that the inherent beauty is simply... lost.
Thank you for this, I had forgotten.
I who feared mathematics my whole school life...fell in love recently with it. So much elegance,so much beauty hidden in mere letters on paper. Only the lucky ones get to see that.
@@anuragpateriya787how to start seeing it? I feel mathematic have deeper meaning and is worth trying to understand
Homework has entered the chat:
@@bot-6670 bro its too late for me :/ working allready almost 10 years
It’s crazy how it starts connects but doesn’t end or strat with another line even after all those,beautiful
"There is an elegant poetry in math and nature"
Pi: "Fuck you, i'mma do what I want!"
This is so perfectly imperfect.
I think it’s perfectly imperfect.
And I think it’s perfectly perfect to be imperfectly imperfect 🫂
Why did I immediately think of that Central Park song?
@@DRez-ProductionsArey kehna kya chahte ho?
I think it's fake
Teacher: please do not draw on the desks
Kids in the back:
True
After teacher says that:
(This music starts playing)
Teachers:no drawing on the desk
Seki-kun:
Fr Fr
But we draw some other things on the desks🌚
A perfectionist's worst nightmare
The first near-miss should correspond to 22/7 (i.e. 7 rotations of the inner axis, 7*pi=21.991... rotations of the outer one), the second to 355/113 (error of about 1 in 10 million)
I'm in 7th grade, bro what is this 😭
Never let anyone 🤡 you
Bro is calculating how much babies are made in 1 nanosecond💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀
Show-off
Man drop an explanation man, this is too confusing.
the function in the video is equal to the following function:
Note: 0 = theta
z(0) = (cos(0) + i*sin(0)) + (pi*cos(0) + i*pi*sin(0))
Please what does that mean
How you know?
@@PRATHAM_TALUKDARhe just converted Euler form to polar form
@@PRATHAM_TALUKDARWithout checking if that is correct (it probably is)
Looks like they arrived there through a case of Euler's identity for which x = pi
e^(ix) = cos(x) + isin(x)
e^(i*pi) + 1= 0
So if x= pi then e^(i*pi) +1 = cos(pi) + isin(pi) +1 = -1 + 0i + 1 = 0
I will willingly sit through a 10 hour version of this
Seriously, I need to see more of this
Even Naruto didn’t practice that hard to learn the RASENGAN.
Pi being irrational is f*cking beautiful
Until it zooms in on it missing connecting at the end
@@mrastleysghostI mean that's the point though, Pi never quite connects despite coming so painfully close to doing so
@@mrastleysghostyou don't understand meaning of irrational do ya...
This is not special or specific to pi, irrational flows are dense for any irrational number
I agree
Teacher: Your brain is just like pi
Me: works for infinity?
Teacher: No its irrational
your*
😂😂
@@fredrick119🤓🤚🏻
@@fredrick119ur* 🤓
@@iku_x3 No? they're both technically correct.
This is the best YT short I've ever seen. Any y'all saying this is unsatisfying are missing how beautiful it is that the circle was _almost_ filled in, the vid slowed down, slid sideways to centre the action, zoomed in, and revealed it was never, ever gonna line up, and here we go all over again. That's the whole visualisation of the proof right there, and perfectly synced with the score. This short is perfectly satisfying as it is. Bravo, creator. 👏
He actually create 4th dimensional sphere
Imagine if an AI account created it 😂
It's like the line really has no width. Because this can go on for decades and centuries and there will always be spaces inside the circle left to draw on. Strange.
This is so real omg it's literally so cool
We are not saying it’s not unsatisfying it’s that the lines didn’t connect
This is like mapping the universe
Fun fact : it will never make a sphere because a line has no thickness... it will continue forever
no shit mf
So what you're saying is that higher dimensions see more infinitely lower dimensions?
So... God?
@@varunv2584 less crack bro
@@ase40269nah, DMT
@@varunv2584bro is onto nothing
This is unironically the most beautiful video I’ve ever seen
I know I'm not the only one thinking it........RASENGAN
My crosshair: On the enemy’s head
My bullets:
XD
LOL
lmao fr
That recoil tho fr
your so real
Absolutely love this . Represents our dual nature of CONSCIOUSNESS/ ENERGY that lies behind all this . Self Portrait . Enjoy ! 😎
This paired with the music makes it feel like I’m witnessing the universe unravel in entirety right before me.
When everything becam white just to be zoomed it felt like the universe was ending so a new world could prevail😊
the music from 0:30 to 0:40 reminds me about the game music from Stellaris.
Visual representation of how it feels when you’re doing math and it suddenly makes sense 🔥🗿
And then forget it a week after
@@OriginalCatPlzfor real😭
@@OriginalCatPlzikr
This is a visual representation of trial and error within decimal awnsers
Technically it will never click
Math would never be boring ever again if math was like this at school
Then tell me what you learned from this
Beauty, wonderness
@@劉雲清I agree
@@劉雲清Just nothing
@@劉雲清exactly lol
my anxiety when it is about to connect 📈📈📈📈
how a video can be satisfying and unsatisfying at the same time:
Dude at the end I was like "No fucking way. It makes a perfect sphere?"
2 Seconds later it zooms in to massive disappointment. What a ride.
F*ck! I was about to comment the same thing! Beat me to it by 9 hours! 😂
@@RexTorreslol
because shut up
That’s Pi for you😂
I love that i live in an era where such things can be imagined and displayed by the creativity and skill of people. Thank you for this.
Love that gratitude. 👏
Thank you 😊
And I hear people all the time say how bad the internet is because social media is ruining everything, but it all depends on how you use it. I rarely see negativity online because I just stay away from it. The internet is a great tool with unlimited power and possibility as long as you use in in a positive and constructive way.
The music selection is immaculate 👌
What is the song?
It's from Oppenheimer.
@@traktor420"Can you hear the music" from Oppenheimer
Absolutely
How our arts teacher wants us to draw rangoli:
Accurate depiction of my frustration with math in school
Accurate depiction of me trying to learn math (so close yet not quite in a frustrating way!)
Someone tell pi to stop being so irrational
Can't. Pi is female.
@@thekunj7 🤣🤣🤣
Can't Pi is a pick me boy
This is what imperfection is. No matter how imperfect you are, you end up beautiful.
You don't end up beautifull by doing nothing, you have to develop yourself to achive it
@@adamstojewski558thats pretty much what happened in the video.
@@iIIuminious Couldn't agree more with you, I just wanted to make sure that hidden meaning of the video is not misunderstood by anyone reading this comment
@@adamstojewski558 kk
@@adamstojewski558 Who said that being imperfect is being nothing. Imperfect means it is not according to your style. That's it. Imperfection means you have an expectation but it is not able to reach you. Its not necessary to reach you right. Doing nothing means the starting 2 lines in the video. Your path might be unclear, You may not reach the end point. But the process make it beautiful. Trust the process.
Sometimes UA-cam makes me motivate myself by making mind post these kind of comments.
Namaskaram 🙏
If you look clearly each movement looks like infinity ∞ 😮
This cinematic masterpiece deserves at least 1M likes, like come on people!
399k and going strong!
415k and going strong
Mathterpiece
Almost 3M
In case anybody is curious, the two moments where it almost matches the previous trajectory are after 7 and 113 laps:
7π=21,9911
113π = 354,99997
(That’s why the second time was much closer)
Nerd 😂
@@dalyb7555the video is made by nerds for nerds
If you are not one
You are the one out of place
(no hard feelings, I'm kidding around)
Close, but no cigar
then i met sweet young janet
@@sarah12232Yep I agree!
how they cut pizza slices in school at pizza partys:
Nah, still not thin enough
Fr
This single atom is a big enough pizza slice... definitely...
lol😝
Maths in school:🤔😔🥱📚😴😵😵💫
Maths in shorts:🤫🥶💀🤐🗿🗿🗿
This was actually a thing of beauty and the fact that it looked like a sphere at the end was a pleasant surprise.
it looked like a pie*
@@mr.phantom674 .... listen here you little s*** 👀
Good one 👍
@@leafabeam😂😂😂
Well that’s the purpose of pi, did you expect a trapezoid? 💀
@@charlietully7377 No. I expected a well written, in depth description of the reproductive process of seahorses and how it relates to black holes and gravity.
One must imagine pi happy.
22/7
When decimal one must think 3.14........n happy
Albert camu 😊
😂😂😂
@@ihH6053s
@@darkphoenix7123Not wrong,just an approximation.
the teacher cutting the pizza at school "parties":
Whoever thought a piece of pizza as wide as a pencil and a shot glass worth of Pepsi is a "party" needs to get out and meet people.
@OtakuUnitedStudio perhaps have the students pay for the party, instead of being a raving pessimist not knowing the salary of a teacher and that all of that party shiz comes out of it.
That mini slice was heat, watch it 😤
As Anthony Fantano would say, "IT"S ENOUGH SLICES!"""
your thousandth like
so satisfying but also so unsatisfying
If I ever become a math teacher I’m gonna use this to make my students focus instead of subway surfers
W teacher moment
i just realize, how math can be so beautiful
I knew
Math is the language of the universe
That line never reaching the start is rather unsatisfying
It's a visualization, if you try to calculate it on paper you might end eanting to cry or smth, but yes, it indeed is beautiful
@@reaperfall6630math is the language of gods
I never noticed how beautiful maths could be😭
with some good music🥲
Well the universe is built out of this stuff so ofc it's beautiful, the universe is. But it can also be so ugly sometimes. Depends what in particular you're looking at.
*Physics
Well it is always beautiful don't blame yourself sometimes it's depends on how much you understand the person who is teaching you I know it from my personal experience. About Engineering Mechanics 1st time in my college I hates it but then I attended other professor class and now I love the subject and now I teach students Engineering Mechanics as a assistant professor.
Because nobody taught us that math could be beautiful. Therefore we started to hate math at one point.