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 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.
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)
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.
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.
Normally we think perfect things are relaxing but this... This is fascinating because it's imperfect. Proof that imperfections make everything more beautiful.
@@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.
@@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?
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.
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
Bro this shit is beautiful. It’s like even when things derail, you can not only predict how things will end but also be excited at the prospect because your know it beautiful. All the “mistakes” made along the way are like life’s hurdles. They change our course, completely adding another layer to our existence but in the end, it all leads to a perfect and beautiful end. Whether it’s dead or the beauty in each phase. Damn this shit is beautiful. How can something that can be visualized, memorized and studied so vigorously be irrational? Dang! Good job person ❤
I think this is a completely rational and logical way of looking at Pi being irrational and pitching a fit. Thank you! Any recommendations on parenting a young irrational pi?
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.
@@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 RUclips makes me motivate myself by making mind post these kind of comments.
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. ❤❤❤
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)
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
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 . 💫🌙☄️🌠🌌🌍
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.
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-
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.
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? 😊😍
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.
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.
I think it’s a beautiful way to show that we can accomplish so much and yet still not be satisfied with the result but when you look back you still left something meaningful on earth
@@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.
Stunning visualization of the rational approximations to pi, better than I've ever seen before. If one counts carefully they'll find the first near miss occurs after 7 rotations of the inner arm and 22 rotations of the outer, representing 22/7 ≈ 3.142857 or ~0.00126 off the actual value of pi. The second, much closer approach occurs at 113 inner rotations and 355 outer, with 355/113 ≈ 3.141592920 or just ~0.000000267 difference!
@@TheNightsfall1 In mathematics, a transcendental number is a real or complex number (a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation; every complex number can be expressed in the form, where a and b are real numbers.) that is not algebraic - that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are π and e.
Thanks for absolutely ruining this video by mentioning the music from that thing was in it. I've been trying to avoid anything to do with that thing and now that I know that music is from there now I have to try and forget it thanks a lot.
@@shadowsoulless6227 Hey get back here with this notification. Explain how that is anybody else's problem. I have 17 parrots and use TTS to read youtube comments and now they're all reading your comment repeatedly THANKS A LOT DUDE WTH.
@@jamesbarber3821 well you can build from there and go into the philosophy of mathematics and then into theology it all branches out and into each other we just have to be attentive to see the relations like Betrand Russel said in Introduction to Mathematical Philosophy (although he said it in a different context)
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
😂
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 RUclips comment
bro you've said daylight series "same time"
bro you have said daylight lyrics "same time "
So true. I felt the same way
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.
Your knowledge has fed me interest in mathematics, Hats off to You
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
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
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
Mathematical analysis such as this reminds me of nature, and how the world constantly develops around us.
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
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
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…
bro dropped the coldest edit on maths and forgot to give us blankets
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
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
I don't have an irrational fear of pi, I have a fear of the understanding the irrationality of pi
500th like
@@Пдвлкь 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
I don't know but this gave me the peace of mind
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
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?
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
Gets ran out of ideas for domain expansions, Pi became a domain expansion
“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
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
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
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.
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 😉
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
Bro this shit is beautiful. It’s like even when things derail, you can not only predict how things will end but also be excited at the prospect because your know it beautiful. All the “mistakes” made along the way are like life’s hurdles. They change our course, completely adding another layer to our existence but in the end, it all leads to a perfect and beautiful end. Whether it’s dead or the beauty in each phase. Damn this shit is beautiful. How can something that can be visualized, memorized and studied so vigorously be irrational? Dang! Good job person ❤
Yes, Mr. Ziauddin. ❤
@@ranjittyagi9354 lol
It makes me so motivated to study science
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)
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
Visualisation on Pi shows how it covers the full area of a circle. Such an amazing art👍
This is the best explanation of the value of pie using this masterpiece music at its best❤❤
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-
"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
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
I think this is a completely rational and logical way of looking at Pi being irrational and pitching a fit. Thank you! Any recommendations on parenting a young irrational pi?
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-
Normal people:😮
Perfectionists:💀
Phi.
WYM? I've never seen perfection quite like this.
@@david6ravytotally accurate comment
It is perfection
Thought the line will meet with the first point at the end of the vid
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
Please make the longer version of this visualization. Sixty minutes would be great.
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 RUclips makes me motivate myself by making mind post these kind of comments.
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 : )
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.
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
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
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
*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 🫡
Absolutely love this . Represents our dual nature of CONSCIOUSNESS/ ENERGY that lies behind all this . Self Portrait . Enjoy ! 😎
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.
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
Pi literally became an art genius☠️
this is called a polar curve
Rasengan
both of you are correct
We putting every pixel to work with this one 🔥🔥🔥
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-
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
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
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.
This is the math equivalent of the dvd screensaver almost hitting the corner, except that it never does.
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? 😊😍
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
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
You’re such a rational and logical thinker! (Me on a day to day basis:)
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 🎉
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.
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.
A beautiful visualization of math.
This is unironically the most beautiful video I’ve ever seen
I know I'm not the only one thinking it........RASENGAN
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
when the math starts to make sense the night before the exam
😂😂😂😂
I think it’s a beautiful way to show that we can accomplish so much and yet still not be satisfied with the result but when you look back you still left something meaningful on earth
The music selection is immaculate 👌
What is the song?
It's from Oppenheimer.
@@traktor420"Can you hear the music" from Oppenheimer
Absolutely
Therapist: so, what got you here?
Me: pi…
Edit: thx for 1k in 10 days
Loool
ss
😭
…zda
ah... 666th like.
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
Thats so beautiful
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.
Stunning visualization of the rational approximations to pi, better than I've ever seen before. If one counts carefully they'll find the first near miss occurs after 7 rotations of the inner arm and 22 rotations of the outer, representing 22/7 ≈ 3.142857 or ~0.00126 off the actual value of pi. The second, much closer approach occurs at 113 inner rotations and 355 outer, with 355/113 ≈ 3.141592920 or just ~0.000000267 difference!
and there are 15 rays.
There are 15 rays. The outer line segment is slightly shorter than the inner line segment.
22/7 ≈ 3.142857
355/113 ≈ 3.141592920
I just hate that everyone forgets pi is transcendetal.
@@leookie7747what does that mean
@@TheNightsfall1 In mathematics, a transcendental number is a real or complex number (a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation; every complex number can be expressed in the form, where a and b are real numbers.) that is not algebraic - that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are π and e.
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
This is the only time I wanted to watch something related to math endlessly. WHY DIDN'T MY SCHOOL THINK OF THIS? This is the best explanation of pi.
Bruh, this one minute video had an entire plot
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
CAN WE TALK ABOUT HOW PERFECT THE SYNC IS?!
so, how do we talk about it?
sure, go on, start the conversation on how perfect it is
*How do we describe it exactly*
lets talk about it
it syncs. that makes many people feel good i guess idk
As a person with ocd, this truly hurts
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
The music with the visualization fits SO well, I'm platonically in love
The Oppenheimer theme is truly amazing
yh
@@pumking-x-5404 thanks for the song name
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😂
It is imperfectly perfect
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🌚
"There is an elegant poetry in math and nature"
Pi: "Fuck you, i'mma do what I want!"
I will willingly sit through a 10 hour version of this
Seriously, I need to see more of this
How to make every single perfectionist mad
My crosshair: On the enemy’s head
My bullets:
XD
LOL
That recoil tho fr
your so real
@@sixxityy Am I???
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 Oppenheimer music makes this so beautiful and cinematic what the hell
I would definitely watch this movie
You're living this movie my friend
Thanks for absolutely ruining this video by mentioning the music from that thing was in it. I've been trying to avoid anything to do with that thing and now that I know that music is from there now I have to try and forget it thanks a lot.
@@shadowsoulless6227b r o w h a t
@@shadowsoulless6227you are welcome, now leave this RUINED video and go
@@shadowsoulless6227 Hey get back here with this notification. Explain how that is anybody else's problem. I have 17 parrots and use TTS to read youtube comments and now they're all reading your comment repeatedly THANKS A LOT DUDE WTH.
shapes at the center are beautiful
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!)
Despite having broken down in tears over it, math is art, change my mind. 🍷🗿
When people don’t believe in God I show them this
@@nomosciya8805why?
Art is math, not the other way around.
@@jamesbarber3821 well you can build from there and go into the philosophy of mathematics and then into theology it all branches out and into each other we just have to be attentive to see the relations like Betrand Russel said in Introduction to Mathematical Philosophy (although he said it in a different context)
@@nomosciya8805Bro, this is mathematics, not god lmfao
The musical representation along with the visuals are beautiful!
This is like mapping the universe
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.
This music made me cry 😢 so beautiful
you can thank ludwig goransson.
Snowflake
@@baguettedestroyer4145who pissed in your cereal?
@@serixskylark 👦🏿👦🏿👦🏿👦🏿👦🏿👦🏿🪓🤠
@@baguettedestroyer4145 y’know, internet trolling used to be an art.
This cinematic masterpiece deserves at least 1M likes, like come on people!
399k and going strong!
415k and going strong
Mathterpiece
Almost 3M