That's Not How the Golden Ratio Works

Video Description

⬣ LINKS ⬣ ⬡ PATREON: https://www.patreon.com/anotherroof ⬡ CHANNEL: https://www.youtube.com/c/AnotherRoof ⬡ WEBSITE: https://anotherroof.top ⬡ SUBREDDIT: https://www.reddit.com/r/anotherroof ⬡ TWITCH: https://www.twitch.tv/anotherroof ⬣ ABOUT ⬣ There’s much to admire about the Golden Ratio, but its significance is largely overblown. In this video, we separate some of the facts from the fiction, while analysing Darren Aronofsky’s “Pi”. ⬣ TIMESTAMPS ⬣ 00:00 - Intro 02:57 - What is the Golden Ratio? 04:53 - The Fibonacci Sequence and the Golden Ratio 10:54 - Nature and Diophantine Approximation 15:14 - Hurwitz’s Inequality 21:20 - Numerology and Gematria 26:09 - Is Pi Good? 29:02 - Verdict ⬣ INVESTIGATORS ⬣ Nothing for you here. Sorry! ⬣ SEE ALSO ⬣ Numberphile video featuring Ben Sparks: https://www.youtube.com/watch?v=sj8Sg8qnjOg Astrology Future Eye https://astrologyfutureeye.com/numerology/pythagorean-numerology Assassinations Foretold in Moby Dick! by Brendan McKay https://users.cecs.anu.edu.au/~bdm/dilugim/moby.html ⬣ REFERENCES ⬣ G. H. Hardy, E. M. Wright: “An Introduction to the Theory of Numbers” Fourth Edition. Oxford University Press (1960). ⬣ CREDITS ⬣ Music by Danijel Zambo, Tobias Voigt, and Apex Music. Pi (film) footage (C) Protozoa Pictures, Artisan Entertainment, Summit Entertainment. Requiem for a Dream footage (C) Thousand Words, Protozoa Pictures, Artisan Entertainment, Summit Entertainment. IMAGES Gears https://hips.hearstapps.com/popularmechanics/assets/16/23/1465575513-gears.jpg Monty Hall https://en.wikipedia.org/wiki/Monty_Hall_problem#/media/File:Monty_open_door.svg Golden Spiral https://www.elegantthemes.com/blog/wp-content/uploads/2019/06/Ratio-768x486.png Sacred Creation https://www.sacredgeometryshop.com/sacred-geometry/sacred-geometry-numerology/ Jeeves https://www.reddit.com/media?url=https%3A%2F%2Fpreview.redd.it%2Fu0v7ecfl8lm51.jpg%3Fauto%3Dwebp%26s%3D8e0cb5aba8041ae18479fb74bf4aef2b12b40b1d 8 Mile poster (C) Universal Pictures Mona Lisa https://en.wikipedia.org/wiki/Mona_Lisa#/media/File:Mona_Lisa,_by_Leonardo_da_Vinci,_from_C2RMF_retouched.jpg Parthenon https://cdn.hswstatic.com/gif/parthenon-golden-ratio-orig.jpg Archimedean Spiral https://en.wikipedia.org/wiki/Archimedean_spiral#/media/File:Archimedean_spiral.svg Euler Spiral https://en.wikipedia.org/wiki/Euler_spiral#/media/File:Euler_spiral.svg Spiral: From the Book of Saw (C) Universal Pictures Logarithmic Spiral https://en.wikipedia.org/wiki/Logarithmic_spiral#/media/File:Logarithmic_Spiral_Pylab.svg Sunflower https://synchronicitypc.com/wp-content/uploads/2019/08/SunflowerTheScienceExplorer.jpg Parthenon with Golden Rectangle https://cdn.shopify.com/s/files/1/0608/0643/0949/files/3_480x480.png?v=1642310689 Pinecone https://i.pinimg.com/originals/f8/87/52/f88752dc9998062e03266b8631c2ee35.jpg Pineapple https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcSuYQN7eNsFkSWnHWimrA6XhaXl1kNEe8xQmA&s Adolf Hurwitz https://upload.wikimedia.org/wikipedia/commons/d/d1/Adolf_Hurwitz.jpg Nautilus Shell https://live.staticflickr.com/7233/7351300052_b5135abb54_b.jpg Milky Way https://cdn.mos.cms.futurecdn.net/D7AzRK9mDsZnBecvdMhr5Y.jpg Hurricane Katrina https://upload.wikimedia.org/wikipedia/commons/thumb/a/af/Katrina_2005-08-28_1700Z.jpg/800px-Katrina_2005-08-28_1700Z.jpg