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Winners and honorable mentions for the SoME2 contest Playlist of all entries: • Summer of Math Exposition 2 videos Help fund future projects: / 3blue1brown Post with links to all entries: https://www.3blue1brown.com/blog/some2 *Winners* Clear Crystal Conundrums, A Multifaceted Intro to Group Theory https://explanaria.github.io/crystalg... The Lore of Calculus • This Is the Calculus They Won't Teach You How Realistic CGI Works (And How To Do It Way Faster) • How Ray Tracing (Modern CGI) Works And How... Percolation: a Mathematical Phase Transition • Percolation: a Mathematical Phase Transition The Coolest Hat Puzzle • The Coolest Hat Puzzle You've Probably Nev... *Honorable mentions* How to Take the Factorial of Any Number • How to Take the Factorial of Any Number How are memories stored in neural networks? • Hopfield network: How are memories stored ... The shapes of waves of ships and ducks • The shapes of waves of ships and ducks Differentiable Programming from Scratch https://thenumb.at/Autodiff/ Researchers Use Group Theory to Speed Up Algorithms — Introduction to Groups • What is Group Theory? — Group Theory Ep. 1 Pleasing Panoramas and Matrix Multiplication http://xperimex.com/blog/panorama-hom... A Tale of Tangent Spheres • A Tale of Tangent Spheres Why there are no perfect maps (and why we eat pizza the way we do) • Why there are no perfect maps (and why we ... What Lies Between a Function and Its Derivative? • What Lies Between a Function and Its Deriv... 1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers • 1 Billion is Tiny in an Alternate Universe... The Mathematical Problem with Music, and How to Solve It • The Mathematical Problem with Music, and H... A Curious Track, or What Bikes Are Hiding From Us • A Curious Track, or What Bikes Are Hiding ... An Inverse Turing Test https://calmcode.io/blog/inverse-turi... What A General Diagonal Argument Looks Like (Category Theory) • What A General Diagonal Argument Looks Lik... Why the Circle encloses the Largest Area | Explained using Hill Climbing • Why the Circle encloses the Largest Area |... The Amazing Math behind Colors! • The Amazing Math behind Colors! An Interactive Guide for Bézier Curves https://www.summbit.com/blog/bezier-c... Does Every Game Have a Winner https://almostsurelymath.blog/2022/07... A Finite Game of Infinite Rounds • A Finite Game of Infinite Rounds #SoME2 Numberphile's Square-Sum Problem was solved! • Numberphile's Square-Sum Problem was solve... Timestamps: 0:00 - The rising tide 2:08 - Choosing winners 2:54 - Motivation (macro) 8:09 - Motivation (micro) 10:55 - Clarity 12:57 - Novelty 14:26 - Memorability 15:07 - Winners ------------------ These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/a... Stream the music on Spotify: https://open.spotify.com/album/1dVyjw... ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: / 3blue1brown Reddit: / 3blue1brown Instagram: / 3blue1brown Patreon: / 3blue1brown Facebook: / 3blue1brown