The Ancient Mathematics of the DVD Screensaver

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/AnotherRoof/ The first 200 of you will get 20% off Brilliant’s annual premium subscription. ⬣ LINKS ⬣ ⬡ PATREON:   / anotherroof   ⬡ CHANNEL:    / anotherroof   ⬡ WEBSITE: https://anotherroof.top ⬡ SUBREDDIT:   / anotherroof   ⬡ TWITCH:   / anotherroof   ⬣ ABOUT ⬣ We've all seen the beloved DVD Screensaver and been excited to see it hit the corner. But is this guaranteed to happen? If it happens once, will it happen again? And long will you have to wait between corner hits? All these questions answered and more via the ancient number theory of Euclid and Diophantine. Spreadsheet here: https://drive.google.com/file/d/1xccm... ComputerCow video on the topic:    • How to Predict a DVD Logo Hitting the Corner!   ⬣ TIMESTAMPS ⬣ 00:00 - Introduction 03:03 - Simplifying the Problem 1 08:40 - Simplifying the Problem 2 14:14 - Diophantine Equations 21:44 - Euclidean Algorithm 31:15 - Solution 36:21 - Extra Questions ⬣ INVESTIGATORS ⬣ Nothing for you here. Sorry! ⬣ CREDITS ⬣ Music by Danjel Zambo. "Bionic" by Tobias Voigt. "Cautious Optimism" by Apex Music. IMAGE CREDITS Smartwatch https://www.trustedreviews.com/wp-con... Dashboard https://www.carscoops.com/wp-content/... iPhone 13 https://www.trustedreviews.com/wp-con... Square Lattice https://upload.wikimedia.org/wikipedi... Equilateral Triangle Lattice https://upload.wikimedia.org/wikipedi... Rhombic Lattice https://upload.wikimedia.org/wikipedi... Andrew Wiles https://upload.wikimedia.org/wikipedi... Fermat https://upload.wikimedia.org/wikipedi... Arithmetica https://upload.wikimedia.org/wikipedi... Etienne Bezout https://upload.wikimedia.org/wikipedi... B-ROLL CREDITS "How LED and LCD TV's Work in Slow Motion [Original]" - Warped Perception    • How LED and LCD TV's Work in Slow Motion  ...   "Happiness comes from the simple things" - SpartaYoshi    • Happiness comes from the simple things   "Bouncing DVD Logo Screensaver 4K 60fps - 10 hours NO LOOP" - Raúl Blanco    • Bouncing DVD Logo Screensaver 4K 60fps - 1...   This video was sponsored by Brilliant.