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This is a real math problem I faced, and the process I went through to solve it. Despite being a difficult problem, I tried to focus on the beautiful visuals and interesting discoveries I made about conic sections that I doubt anyone knows about. While this isn't my typical style of video, there was a ton of coding that went into this (all open source) and an interactive app of this entire video. Check them out below! Source Code: https://github.com/HackerPoet/Conics Download Windows (64-bit): https://github.com/HackerPoet/Conics/... Chapters: 0:00 Introduction 0:23 5 Elements 3:47 Duality 5:49 Skew Axes 7:39 My Hardest Problem (Part 1) 10:14 My Hardest Problem (Part 2) 13:59 My Hardest Problem (Part 3) In Homage To: 3Blue1Brown: / @3blue1brown Mathologer: / @mathologer Definitely subscribe to these channels if you like this video! Six Umbrellas - The Psychedelic And (CC BY-SA 4.0) Six Umbrellas - Monument (CC BY-SA 4.0) http://www.sixumbrellas.de/ Meydän - The Beauty of Maths (CC BY 4.0) / meydansound Yakov Golman - Dance (CC BY 4.0) http://yakovgn.awardspace.info/