Another Roof | The Ancient Mathematics of the DVD Screensaver @AnotherRoof | Uploaded 8 months ago | Updated 1 minute ago
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⬣ LINKS ⬣
⬡ PATREON: patreon.com/anotherroof
⬡ CHANNEL: youtube.com/c/AnotherRoof
⬡ WEBSITE: https://anotherroof.top
⬡ SUBREDDIT: reddit.com/r/anotherroof
⬡ TWITCH: twitch.tv/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:
drive.google.com/file/d/1xccmF7gBFVjcdsquxhs3enGnz8eSq6mQ/view?usp=sharing

ComputerCow video on the topic:
youtube.com/watch?v=saq3JGOsB3M

⬣ 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
trustedreviews.com/wp-content/uploads/sites/54/2022/08/Galaxy-Watch-5-Pro-apps-920x693.jpg
Dashboard
carscoops.com/wp-content/uploads/2020/10/2021-Cadillac-Escalade-42-1024x555.jpg
iPhone 13
trustedreviews.com/wp-content/uploads/sites/54/2021/09/iphone-13-8-920x613.jpeg
Square Lattice
upload.wikimedia.org/wikipedia/commons/thumb/6/63/SquareLattice.svg/2560px-SquareLattice.svg.png
Equilateral Triangle Lattice
upload.wikimedia.org/wikipedia/commons/thumb/9/97/Equilateral_Triangle_Lattice.svg/2048px-Equilateral_Triangle_Lattice.svg.png
Rhombic Lattice
upload.wikimedia.org/wikipedia/commons/thumb/2/28/Rhombic_Lattice.svg/2560px-Rhombic_Lattice.svg.png
Andrew Wiles
upload.wikimedia.org/wikipedia/commons/4/4c/Andrew_wiles1-3.jpg
Fermat
upload.wikimedia.org/wikipedia/commons/f/f3/Pierre_de_Fermat.jpg
Arithmetica
upload.wikimedia.org/wikipedia/commons/3/3b/Diophantus-cover.png
Etienne Bezout
upload.wikimedia.org/wikipedia/commons/9/92/Etienne_Bezout2.jpg

B-ROLL CREDITS
"How LED and LCD TV's Work in Slow Motion [Original]" - Warped Perception
youtube.com/watch?v=131S82R5Jjg
"Happiness comes from the simple things" - SpartaYoshi
youtube.com/watch?v=m8NAlDOCG6g
"Bouncing DVD Logo Screensaver 4K 60fps - 10 hours NO LOOP" - Raúl Blanco
youtube.com/watch?v=5mGuCdlCcNM

This video was sponsored by Brilliant.