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PBS Member Stations rely on viewers like you. To support your local station, go to: 🤍 ↓ More info and sources below ↓ We’re on PATREON! Join the community ►► 🤍 SUBSCRIBE so you don’t miss a video! ►► 🤍 ↓↓↓ More info and sources below ↓↓↓ The golden ratio. Some say it’s the most mythical number in the universe. Others say it underlies everything from nature’s patterns to beauty in art and design. But, like, what is it? And does the myth of the golden ratio hold up to its mathematical reality? Let’s find out References: 🤍 - Special thanks to our Brain Trust Patrons: Roy Lasris Javier Soto dani bowman David Johnston Ahmed Elkhanany Zenimal Salih Arslan Baerbel Winkler Robert Young Amy Sowada Benjamin Teinby Eric Meer Jay Stephens Peter Ehrnstrom Dustin Marcus Tuepker Karen Haskell AlecZero Diego Lombeida Join us on Patreon! 🤍 Twitter 🤍 🤍 Instagram 🤍 🤍 Merch 🤍 Facebook 🤍
The Golden Ratio, which is one of the most famous irrational numbers that go on forever, appears in nature and some pieces of art from Michelangelo or Leonardo Da Vinci. Some civilizations even used it in architecture throughout history. But is this number, that is also related to the Fibonacci sequence, really indispensable today for artists or architects? Watch our video to get the answer to that question and learn more about the history of the Golden Ratio. To get the latest science and technology news, subscribe to our newsletter “The Blueprint” at 🤍 Learn more at 🤍 #engineering
This video provides a basic explanation of the Golden Ratio and the Fibonacci sequence in an easy, enthusiastic, and accessible manner. Examples illustrate how the Golden Ratio appears in nature and in human design through historic art and architecture and in contemporary designs and branding. Some images used in this video are courtesy of 🤍, Gary B. Meisner, Copyright 2001-2020. Feel free to check out Meisner's golden ratio design and analysis software used in many of the images shown at 🤍 He also has a book on the golden ratio on Amazon at 🤍
Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!) TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design plus science, business, global issues, the arts and much more. Find closed captions and translated subtitles in many languages at 🤍 Follow TED news on Twitter: 🤍 Like TED on Facebook: 🤍 Subscribe to our channel: 🤍
The Fibonacci sequence is a series of numbers in which a given number is the addition of the two numbers before it. So, if you start with 0, the next number will be 1, followed by 1, followed by 2, followed by 3 and so on. As you can see, every number in this series or sequence is obtained by adding the two preceding numbers. This simple series of numbers is referred to as the Fibonacci sequence for Fibonacci series. And individual numbers in this sequence are often called Fibonacci numbers. To the uninitiated, it may just seem like a series of numbers, but the Fibonacci sequence has been discovered and rediscovered in various forms, not only in mathematics, but also in nature and our everyday lives. There’s another exciting offshoot of the Fibonacci sequence - the golden ratio. Seashells are one of the most common examples of the golden spiral in nature. Ocean waves, hurricanes, flower buds, snail shells, spider webs are some of the many naturally-occurring examples. #science #animation #fibonacci Intro - (0:00) What is the Fibonacci sequence - (0:57) Leonardo of Pisa and the Fibonacci sequence - (1:39) Fibonacci sequence and the Golden Ratio - (2:56) References: 🤍 🤍 Original Article Link: 🤍 If you wish to buy/license this video, please write to us at admin🤍scienceabc.com. Voice Over Artist: John Staughton ( 🤍 ) SUBSCRIBE to get more such science videos! 🤍 Follow us on Twitter! 🤍 Follow us on Facebook! 🤍 Follow our Website! 🤍
Part Two of Golden Ratio Trilogy Proof that an infinite number of sequences have that "golden ratio" property - not just the Fibonacci Numbers. More links & stuff in full description below ↓↓↓ Next in the trilogy: 🤍 Matt's signed book (& extra goodies): 🤍 Amazon (UK): 🤍 Amazon (US): 🤍 All links to videos in this four-part trilogy: Brady Numbers: 🤍 Proof: 🤍 Lucas Numbers: 🤍 Extra bit: 🤍 Support us on Patreon: 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 Videos by Brady Haran Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍 Numberphile T-Shirts: 🤍 Other merchandise: 🤍 Thumbnail caricature of Matt by Knut Johannes Håland
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Imagine if there was a perfect number, a single number so... Bonus Video 🤍Patreon 🤍 Narration provided by JaM Advertising New Mexico 🤍tasteofjam.com flawless it formed the basis for all art and music; a number so important that it could be used across the disciplines of mathematics and physics, and a number so profoundly purposeful that the natural world and the universe would bend to its whims. The Fibonacci Sequence is a string of numbers that begins with zero and one which can be extended infinitely by adding up any two consecutive numbers to find the next in the sequence. The Golden Ratio is a mathematical term used to describe the relationship of two figures, whereby the numbers seem to be in some form of complimentary ratio.To link the Fibonacci Sequence and the Golden Ratio we must look at the ratio between two consecutive numbers in Fibonacci, and observe the pattern this ratio takes as you use ever higher numbers. The Golden Ratio has fascinated the world's most knowledgeable people for millennia since its discovery, and we have seen its influence in some of the finest works mankind has ever produced. Is the Golden Ratio a universal law applied by nature? The evidence seems to suggest so, and the aforementioned Leonardo Da Vinci may have alluded to this in some of his most famous works.
This mathematics video tutorial provides a basic introduction into the fibonacci sequence and the golden ratio. It explains how to derive the golden ratio and provides a general formula for finding the nth term in the fibonacci sequence. This sequence approaches a geometric sequence when n becomes very large. Double Factorials: 🤍 Addition, Multiplication, Exponentiation, Tetration: 🤍 Simplifying Nested Radicals: 🤍 Potential Energy - The Siphon: 🤍 Special Patterns of the Pythagorean Theorem: 🤍 Homopolar Motors - Compilation: 🤍 My Website: 🤍 Patreon Donations: 🤍 Amazon Store: 🤍 Subscribe: 🤍 Disclaimer: Some of the links associated with this video may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
The golden ratio, or 1.618, is a proportion based on the Fibonacci sequence and can be found almost anywhere in life, probably even in the room where you are sitting. The Fibonacci sequence is a series of numbers where each number is the sum of the two previous numbers. Subscribe for more! ► 🤍 ◄ Stay updated ► 🤍 🤍 🤍 ◄ For copyright queries or general inquiries please get in touch: beamazedvideos🤍gmail.com Credit: 🤍
The Golden Ratio: Nature's Favorite Number - 🤍 Get 3 years of protection with AtlasVPN for $1.39 a month: 🤍 Follow me on Instagram: 🤍 The golden ratio is everywhere. From the smallest places known to humanity to finding itself in the bodies we find ourselves in, the golden ratio has been apart of our lives for millions of years. However, it wasn't always called this. Before we had any cognition of it, the golden ratio was there hiding right in front of our eyes. Stay connected with Aperture: Website: 🤍 Instagram: 🤍 Twitter: 🤍 My Bitcoin Address: 3PiJLqUaXT6T7FsuRY5Jdv72ZUYxgRVPrf
The Golden Ratio seems to be one of those ideas that, for some reason, lodges itself in the minds of both professionals and the general public and keeps on fascinating them for decades. Here's my two cents on the topic and why I believe the Gold Ration is actually nothing more than a myth with no scientific or logical backing. →Links and references: David Cole's article on the Golden Ratio: 🤍 Warner Bros. Rebrand: 🤍 Fast Company's article on The Golden Ratio: 🤍 Side Questing's article on the Nintendo Switch's logo: 🤍 Netflix Clips: Abstract The Art of Design - Season 1 Episode 5 (Paula Scher) Abstract The Art of Design - Season 2 Episode 6 (Jonathan Hoefler)
Have you ever noticed similarities between the movement of stars, specks of dust and flocks of birds? Do you pause to consider how mosaics in mosques are similar to honeycombs built by bees? If you’re paying close attention, you will notice a pattern that seems to govern natural phenomena and beautiful works of art. For centuries, ancient thinkers have called it the Golden Ratio or the Divine Proportion. But why is this irrational sequence of numbers so prevalent in our universe? And can this ‘cosmic constant’ predict our behavior? In this episode, adapted from the award-winning Arabic series Dahaleez, Egyptian-born actor Amr Waked journeys from the galactic to the atomic to try to answer one of the oldest, and most persistent, philosophical questions. Subscribe to our channel 🤍 Follow us on Twitter 🤍 Find us on Facebook 🤍 Check our website: 🤍 🤍AljazeeraEnglish #Aljazeeraenglish #news #decoded
Continuing on from Zvezda's previous video about Ptolemey's Theorem (see: 🤍 now we use it to prove some cool stuff with pentagons and equilateral triangles. More links & stuff in full description below ↓↓↓ Zvezda's Numberphile playlist: 🤍 Zvezda's webpage: 🤍 Golden Ratio: 🤍 Epic Circles: 🤍 Triangle Magic Highway: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts and Merch: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍
Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence. Like SciShow: 🤍 Follow SciShow: 🤍 Vi Hart's Fibonacci series starts here: 🤍 References: 🤍 🤍 🤍 🤍
Check out Envato Elements here, free for 7 days: 🤍 If there's anything you would like me to cover in a video, then let me know by commenting down below! 🔗 Links Will Paterson: 🤍 Join the Reddit crew: 🤍 Become a member: 🤍 If you would like me to design your logo and company branding, please check out my website for more information! 🤍 Edited by PJ Summers: 🤍 📋 Timestamps 00:00 Intro 00:13 What is the Golden Ratio? 00:36 Fibonacci Sequence 01:41 How to draw the Golden Ratio grid 02:14 How to use the Golden Ratio in Layout Design 04:48 How to use the Golden Ratio in Logo Design 08:23 A good example of the Golden Ratio in Logo Design 09:11 Pro Tip 10:04 Should you use the Golden Ratio in Graphic Design 10:40 Outro
Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: 🤍 Check out Brilliant (and get 20% off) by clicking 🤍 More links & stuff in full description below ↓↓↓ Golden seeds limited edition T-Shirt: 🤍 More Golden Ratio stuff: 🤍 More Ben Sparks Numberphile videos: 🤍 Ben's Twitter: 🤍 Ben's website: 🤍bensparks.co.uk Geogebra file Ben used: 🤍 Watch Ben build (from scratch) the spirally Geogebra visualisation file he uses, on his channel here: 🤍 Note on this video: Ben uses "one over a number" quite often during the video to make a fraction of a turn between 0 and 1, but the same effects apply if you turn more than a complete turn (e.g. sqrt(2) = approximately 1.414... of a turn, i.e. 1 whole turn and 0.414... of a further turn). Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍
The connection between the Golden Ratio and works of art and architecture has been questioned in the last few decades, but there is no question that the Golden Ratio has fascinating ties to the Fibonacci numbers, two- and three-dimensional geometry, and more. Check it out in this video! For more info on the Golden Ratio, see the following page by Cut the Knot: 🤍 Music: "Brandenburg Concerto No. 4 in G, Movement I (Allegro), BWV 1049" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 License 🤍
Did you know numerology and science intersect? You may have heard about fractals, the Fibonacci sequence, and the Golden Ratio. But how are they related? And what can they tell us about the patterns we find in nature? We look at these questions in this video for numerology science. In this video we explore 3 beautiful and mysterious mathematical phenomena and the intersection between numerology and science: 1. The Fibonacci sequence If you start with the numbers 0 and 1, and add each new number to the one before it, you get a list that looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811… and it goes on forever. This might look like a random list of numbers, but it’s not. This sequence appears everywhere in nature, and it happens so unexpectedly, and so often that there’s even a scientific journal dedicated to studying it. 2. The Golden Ratio If you divide nearly any Fibonacci number by the one before it in the sequence, you get a number that approaches 1.618033988… and it goes on forever. The Ancient Greeks called this number “Phi” but it’s more widely known as the “Golden Ratio.” And much like the Fibonacci Sequence, the Golden Ratio also appears everywhere all around us. 3. Fractals Mathematician Benoit Mandlebrot came up with a simple equation. If you follow his formula, it can produce beautiful images where you can zoom into any small part of the image and find that it resembles the whole. Much like the Fibonacci Sequence, and the Golden Ratio, we also see Fractals everywhere and all around us. Let's explore numerology and science. TIMESTAMPS for numerology and science (and numerology divine oracle) 00:00 - Prologue 00:33 - The Beginning 02:01 - The Fibonacci Sequence 04:09 - The Golden Ratio 05:41 - Fractals 08:12 - Pythagoras on the nature of reality
CosmicContinuum Twitter 🤍 Gods Fingerprint→ The Fibonacci Sequence - Golden Ratio and The Fractal Nature of Reality "Fibonacci numbers are of interest to biologists and physicists because they are frequently observed in various natural objects and phenomena. The branching patterns in trees and leaves, for example, and the distribution of seeds in a raspberry are based on Fibonacci numbers. A Sanskrit grammarian, Pingala, is credited with the first mention of the sequence of numbers, sometime between the fifth century B.C. and the second or third century A.D. Since Fibonacci introduced the series to Western civilization, it has had a high profile from time to time. Recently, in The Da Vinci Code , for example, the Fibonacci sequence is part of an important clue." 🤍 Video content mirrored from: 🤍 🤍 Fractal Enlightenment 🤍 How Fractals Work 🤍 What Is the Fibonacci Sequence and Why is it Famous? 🤍 The magic of Fibonacci numbers 🤍 What is the Golden Ratio? 🤍 15 Uncanny Examples of the Golden Ratio in Nature 🤍 The Golden Spiral of Consciousness: Inspiration & Enlightenment through Art & Science 🤍 Fibonacci alignments of the Azores Pyramid & submerged city of Poseida 🤍
Let me show you some awesome numerical patterns within "the golden ratio", beginning with a story about this number from my childhood, and building to a whole web of connections it has with the "Fibonacci sequence", the "Lucas numbers", and more! Many people associate this number/ratio with geometry and shapes, but there are tons of numerical traits that make it special too! This episode covers some of my favorite numerical aspects and doesn't cover the geometric aspects, which I will cover at another point in the future. The golden ratio will also play a key role in a future episode about irrational numbers. And in another future episode, we will meet some other "metallic" numbers such as the "silver ratio" and "bronze ratio"! By the way, the symbol I am using for the golden ratio is the greek letter "phi", which is used for a few things in math, one of which is this number. "Phi" is pronounced more like "fee" according to the sources I've read, although you'll hear some people pronounce it like "fye". Here's links to two previous episodes that include the Golden Ratio: 🤍 🤍 (doesn't matter if you watch these before or after this video) Special thanks to Evan Clark and to all of my Patreon supporters: Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, and Julian Zassenhaus. (To join that list of people supporting this channel, and get cool bonus content, check out the Combo Class Patreon at 🤍 Make sure you're also tuned in to my 🤍Domotro channel for my bonus videos and livestreams and other content! By the way, I've started putting shorts on this channel but they typically won't go to notifications or subscription feeds (they typically have been on my 🤍Domotro channel and did so well for that channel that I want more people on that shorts page to find this channel too). They will be available on the "shorts" tab on this channel, and I will link the recent ones in video descriptions like this. Here are the ones I've put on this channel so far: 🤍 🤍 🤍 🤍 If you want to mail me anything (such as any clocks/dice/etc. that you'd like to see in the background of Grade -2), here's my private mailbox address (not my home address). If you're going to send anything, please watch this short video first: 🤍 Domotro 1442 A Walnut Street, Box # 401 Berkeley, CA 94709 Come chat with other combo lords on the Discord server here: 🤍 and there is a subreddit here: 🤍 If you want to try to help with Combo Class in some way, or collaborate in some form, reach out at combouniversity(at)gmail(dot)com In case people search any of these words, some topics mentioned in this video are: the golden ratio (phi), square numbers, cube numbers, other integer powers, the fibonacci sequence, the lucas numbers, infinite continued fractions, infinite square roots, and more! If you're reading this, you must be interested in Combo Class. Make sure to leave a comment on this video so the algorithm shows it to more people :) DISCLAIMER: Do not copy any uses of fire, sharp items, or other dangerous tools or activities you may see in this series. These videos are for educational (and entertainment) purposes.
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: 🤍 Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) So you all know the golden (ratio) spiral. But did you know that not only the golden ratio but really every number has such a spiral associated with it? And that this spiral provides key insights into the nature of a number. Featuring more proofs by contradiction by infinite descent (my current obsession), infinite continued fractions, etc. Here are some articles that debunk a lot of the golden spiral in nature nonsense: Clement Falbo 🤍 George Hart 🤍 🤍 Keith Devlin 🤍 Here is a very good website devoted to everything to do with the golden ratio and Fibonacci 🤍 Thank you very much to Michael (editing), Marty (nitpicking) and Danil (translating). Enjoy!
Seriously? Matt Parker is talking about Fibonacci and Lucas numbers again. Part 2: 🤍 More links & stuff in full description below ↓↓↓ See part 2 on Numberphile2: 🤍 The original trilogy of videos where this all started: 🤍 Lucas Numbers: 🤍 In Defense of Fibonacci by zeproxypylon: 🤍 More Matt Parker videos on Numberphile: 🤍 Matt Parker's website Standupmaths (for more videos, books, merchandise, toys, talks, school visits, all that stuff) - 🤍 Matt's book (US): 🤍 Matt's book (UK): 🤍 Parker Square T-Shirts: 🤍 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): 🤍 We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 🤍 And support from Math For America - 🤍 NUMBERPHILE Website: 🤍 Numberphile on Facebook: 🤍 Numberphile tweets: 🤍 Subscribe: 🤍 Videos by Brady Haran Patreon: 🤍 Numberphile T-Shirts: 🤍 Brady's videos subreddit: 🤍 Brady's latest videos across all channels: 🤍 Sign up for (occasional) emails: 🤍
Writing music with the Golden Ratio. Can it be done? If so, how? Also, we'll find out if playing guitar in A=432 Hz will heal your soul. And check out 🤍samuraiguitarist take on the Fibonacci sequence! ▶Stream Song From Phi◀ 🤍 Spotify: 🤍 Apple Music: 🤍 YouTube: 🤍 ▶Samurai Guitarists video◀ 🤍 MY INTERMEDIATE COURSE: 🤍 MY BEGINNER GUITAR COURSE: 🤍 ▶SUPPORT ME◀ 🤍 ▶FOLLOW ME◀ Instagram: 🤍 Hi, my name is Paul Davids! I am a guitar player, teacher, producer, and overall music enthusiast from the Netherlands! I try to inspire people from all over the world with my videos, here on YouTube. If you want to know more about me, check out 🤍 or check out my guitar courses at: 🤍 and 🤍 Thank you for watching! Paul Below is the gear I use to make these videos. They redirect to Amazon and provide me with a small kickback should purchase any of these things. ▶GEAR LIST◀ 🤍 ▶MICS◀ Vocal mic - 🤍 ▶SOUND◀ Soundcard - 🤍 DAW - 🤍 ▶CAMERAS◀ Camera 1 - 🤍 Camera 2 - 🤍 Camera 3 - 🤍 Lens 1 - 🤍 Lens 2 - 🤍 Lens 3 - 🤍
#shorts What if what we know is true is actually false and just a myth? Do you want to know the truth? Are you ready to find out if the golden ratio is real? Join our YouTube channel by clicking here: 🤍 Find us on Instagram: 🤍 Find us on Facebook: 🤍 Find us on Twitter: 🤍 Find us on TikTok: 🤍 Get the latest stories: 🤍
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: 🤍 You know the Golden Ratio, but what is the Silver Ratio? Learn through active problem-solving at Brilliant: 🤍 Dive into more open problem solving right here 🤍 Tweet at us! 🤍pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com RESOURCES Polygons, Diagonals, and the Bronze Mean by Antonia Redondo Buitrago 🤍 Previous Episode Proving Brouwer's Fixed Point Theorem 🤍 Cut a line segment into unequal pieces of lengths a and b such that the ratio a to b is the same as the ratio (a + b) to a - that is, so that big over medium equals medium over small. This is how you construct the golden ratio Phi. If a rectangle has an aspect ratio of Phi, you can subdivide it forever into a square and another golden rectangle, and make fun logarithmic spirals by connecting the corners. Written and Hosted by Gabe Perez-Giz Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington Made by Kornhaber Brown (🤍kornhaberbrown.com) Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon. Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose, Jason Hise, Thomas Scheer, Marting Sergio H. Faester, CSS, and Mauricio Pacheco who are supporting us at the Lemma level!
This video introduces the mysterious and mystical Fibonacci Sequence and explores its relationship to the Golden Ratio. While filmed with a fifth grade audience in mind, it should be accessible to kids as young as fourth grade . Hopefully it's interesting to everyone. If you're interested in learning more about the golden ratio and other mathematical sorcery, I can't say enough about this book: 🤍 #khanacademytalentsearch, #phi, #goldenratio, #fibonacci, #math, #geometry
PBS Member Stations rely on viewers like you. To support your local station, go to: 🤍 ↓ More info below ↓ The golden ratio is the irrational number Phi. We see it everywhere in the world around us. But, did you know that you can also hear it in your favorite music? Since the beginning of time Phi—also known as the golden ratio—has inspired the world around us. Have you ever noticed how some pieces of music just seem to make sense? From the notes and chords to the phrasing and dynamics, they can all feel like they were meant to go together. Many people believe this is not a coincidence but the golden ratio in action. Hosts Nahre and LA explore this phenomenon and create their own composition inspired by the golden ratio. The History of Trap Music 🤍 What Makes a Song So Sad? 🤍 Please SUBSCRIBE! ►► 🤍 We like music. You like music. Let’s break it down. Sound Field is a PBS Digital Studios web series produced by Rewire.org. #SoundFieldPBS #Rewire #PBSDigitalStudios joe hanson nahre sol béla bartók la buckner It's Okay To Be Smart
This is a short, animated visual proof of showing how to compute the value of the golden ratio (which is the positive number satisfying x=1+1/x) without using the quadratic formula explicitly. Instead, we use a Tatami diagram and compute the areas of the included rectangles and squares to find the total area of the outer square in two ways.. #manim #math #mathvideo #goldenratio #goldensection #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #algebra #pww #proof #areas #mathematics #mtbos Check out these related videos: 🤍 🤍 If you like this video, please click "like" and consider subscribing and checking out my other videos. This animation is based on a visual proof by Roger B. Nelsen from the March 2016 issue of The College Math Journal (🤍 - page 108). To learn more about animating with manim, check out: 🤍ity _ Music in this video: Powerful Emotional Trailer by MaxKoMusic | 🤍 Music promoted by 🤍 Creative Commons Attribution-ShareAlike 3.0 Unported 🤍
OFFICIAL METANOIA STORE: 🤍 EXTRA CONTENT ON PATREON: 🤍 Did you know that the Fibonacci numbers reveal hidden patterns upon closer investigation? One of it is this mysterious 24 digit cycle that occurs when you start applying the sum of digits to each Fibonacci number. This sequence will repeat until infinity and bears a remarkable similarity to ancient divisions of time (and space) all across the world. Could there be a deeper connection that helps us understand why ancient societies divided time the way they did?
In this video I discuss the relationship between the mathematical sequence known as the Fibonacci Sequence, as well as the Golden Section. The Fibonacci Sequence was first proposed by Leonardo Bonacci in his 1202 book Liber Abaci the Book of the Abacus. Support the Channel on Patreon: 🤍 Follow me on Twitter: 🤍 Follow me on Instagram: 🤍 David Bruce Composer Spotify Playlist: 🤍 My 2nd YouTube Channel: 🤍 Roy Howat's book on Debussy and Proportion: 🤍 Bela Bartok: An Analysis of His Music Paperback – 31 Dec 2000 by Erno Lendvai 🤍 This talk PDF by Howat gives a good overview of what's available in his book: 🤍 The full score for the Chopin Prelude in C major Op.28 No.1 is available free on 8notes.com at 🤍 Thanks to Gavin Thomas for research and script writing.
The first 50 to use promo code "FIB50" will get 50% off either of my courses at 🤍 or use the same code on the 2 course bundle to get both for the normal price of one. --------- 🤍PaulDavids Video: 🤍 --------- 🤍 🤍 🤍 Instagram 🤍samuraiguitarist mgmt🤍samuraiguitarist.com --------- Guitarist/Songwriter/Samurai Born in the Manitoba prefecture of Canada, samuraiguitarist, honed his discipline under the study of the country's most powerful musical sensei. Bred on rock, raised on the blues, trained in jazz, samuraiguitarist creates incredibly innovative videos that showcase his talents on the guitar.
This is a short, animated visual proof of showing how to compute the value of the golden ratio (which is the positive number satisfying x=1+1/x) without using the quadratic formula explicitly. Instead, we use a Tatami diagram and compute the areas of the included rectangles and squares to find the total area of the outer square in two ways. Here is a slower version of this same animation (with dramatic music): 🤍 Check out these related videos: 🤍 🤍 If you like this video, please click "like" and consider subscribing and checking out my other videos. This animation is based on a visual proof by Roger B. Nelsen from the March 2016 issue of The College Math Journal (🤍 - page 108). #manim #math #mathvideo #goldenratio #goldensection #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #algebra #pww #proof #areas #mathematics #mtbos To learn more about animating with manim, check out: 🤍ity
(October 8, 2012) Professor Keith Devlin dives into the topics of the golden ratio and fibonacci numbers. Originally presented in the Stanford Continuing Studies Program. Stanford University: 🤍 Stanford Continuing Studies Program: 🤍 Stanford University Channel on YouTube: 🤍
Welcome to another basics for beginners episode, today we're taking a look at Golden Ratio Theory: a mathematical ratio that creates objectively pleasing designs. Thanks for watching! Twitch Livestreams: 🤍 Livestream Archive: 🤍 TipTutZone [Discord Community Chat]: 🤍 Website: 🤍 🤍 Subscribe: TipTut: 🤍 LinkTCOne: 🤍 Social Media: Facebook: 🤍 Twitter: 🤍 TipTut Theme Assets: Colour Palette: 🤍 Fonts: Lovelo, Caviar Dreams
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Get a 2 Month FREE TRIAL with SKILLSHARE 🤍 The GOLDEN RATIO has been around for thousands of years. No one is really certain just who discovered it first. We do know the ancient Greeks used it throughout their art and architecture. The Ratio had a revival in the renaissance and this mathematical concept is a great way that artists today can improve their compositions and create PERFECT VISUAL HARMONY! Check out my FULL TUTORIALS: 🤍 Subscribe and KEEP IN TOUCH (it's free): 🤍 Check out more of my work and some additional content: 🤍 FOLLOW ME: 🤍 🤍
#shorts #short #goldenratio #numbers #education #learn #fun #number #math #mathematics #phi Combo Class is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is the SHORTS channel for faster-paced videos. Make sure you're also subscribed to the main Combo Class channel where full episodes go! DISCLAIMER: any use of fire, tools, or other science experiments in this series is always done in a safe and professional way. Do not try to copy any actions you see in this series yourself.
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