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...  

How Realistic CGI Works (And How To Do It Way Faster)
   • How Ray Tracing (Modern CGI) Works An...  

Percolation: a Mathematical Phase Transition
   • Percolation: a Mathematical Phase Tra...  

The Coolest Hat Puzzle
   • The Coolest Hat Puzzle You've Probabl...  

*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?
   • How are memories stored in neural net...  

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
   • Researchers Use Group Theory to Speed...  

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 wh...  

What Lies Between a Function and Its Derivative?
   • What Lies Between a Function and Its ...  

1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers
   • 1 Billion is Tiny in an Alternate Uni...  

The Mathematical Problem with Music, and How to Solve It
   • The Mathematical Problem with Music, ...  

A Curious Track, or What Bikes Are Hiding From Us
   • A Curious Track, or What Bikes Are Hi...  

An Inverse Turing Test
https://calmcode.io/blog/inverse-turi...

What A General Diagonal Argument Looks Like (Category Theory)
   • What A General Diagonal Argument Look...  

Why the Circle encloses the Largest Area | Explained using Hill Climbing
   • Why the Circle encloses the Largest A...  

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 ...  

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

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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...

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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

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