The Tale of Three Triangles
This video develops a novel argument for why Sierpinski’s triangle, the Chaos Game, and Pascal’s triangle colored mod 2 all form the same shape. It's much longer than anything I've created before, and I'm so happy with how it turned out. This is also a submission for 3Blue1Brown’s Summer of Math Exposition competition (SOME1). If you enjoyed this, check out more of my work at https://truax.io/ Timestamps: 00:00 Prologue 05:12 Chapter I 08:24 Chapter II 10:51 Chapter III 15:25 Chapter IV 21:57 Chapter V 29:08 Epilogue Song credits: • Prologue: Mind by Home, Polar Bears by Stevia Sphere • Chapter I: Resonance by Home • Chapter II: Close by Foewi • Chapter III: A Light in the Dark by Henrik Johnson • Chapter IV: Chemical Burns by Home, Traffic by Foewi • Chapter V: Rolling Hills by Oval Music, Simple by Oval Music • Epilogue: Breakfast by potsu x lando • Credits: Musician by Porter Robinson Software used: Manim, Community Edition, to produce the animations themselves. Visit their website https://www.manim.community/ to learn how to use the software, see documentation, or contribute to make the project even better. Da Vinci Resolve to chain together raw footage and arrange it on screen.
How Divergence and Curl Were Invented
If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?
An Odd Property of the Sierpiński Triangle - Numberphile
Reinventing Entropy | Compression is Intelligence Part 1
A Sphere is a Loop of Loops (Visualizing Homotopy Groups)
The most beautiful formula not enough people understand
Six Sierpiński Triangle Constructions (visual mathematics)
The Professor Who Taught People How To Think (1962)
Lehmer Factor Stencils: A paper factoring machine before computers
Binary, Hanoi and Sierpinski, part 1
Chaos Game - Numberphile
When Math Isn’t Based in Reality
Why Ancient Humans Went From Black to White?
Newton's superb theorem: simplicity through symmetry
The Hidden Colour Patterns in Pascal's Triangle
How (and why) to take a logarithm of an image
Steiner's Porism: proving a cool animation #SoME1
Papers unpicked: Strategy on an Infinite Chessboard between an Angel and a Devil
This random graph fact will blow your mind | Rado graph and its godlike properties
