#hackenbush#combinatorialgametheory#surrealnumbers
7.6K subscribers • 1 video on Hallway
Beginner. No background in the topic needed.
562K views5 years ago3 recommendations
Computer scienceComputation and complexityMath for programmers
Owen Maitzen introduces Hackenbush, a combinatorial game, and explains how its mathematical analysis leads to the discovery of surreal numbers.
A playful venture into the vast and mysterious forests of combinatorial game theory. This one simple game will change the way you look at numbers forever! Hackenbush is easy to pick up, but exploring its strategy leads us down a fantastical mathematical rabbit hole, through which can be found the roots of our familiar number system, intricately entangled with a host of new and exotic numeric species lurking alongside them. Script, narrations, animations, and soundtrack were all done by me. Special thanks to my friends @whirligig231, @derpky, @emileserper, @flavoredsaucer, and @walgrey_tweets for concurrent feedback on all aspects of the video during its production. Made with Manim Community: manim.community/ My music channel: youtube.omaitzen.com/ Intro Starting at the Roots Branching Out Tabulating Trees Into the Weeds Going Green Binary Beanstalks Positive Petals But What Are Numbers? Hacking the Infinite Sisyphus' Garden Sweltering Switches Down the Rabbit Hole ConclusionWhat people say. Recommended as an exceptionally clear and beautifully animated introduction to combinatorial game theory and surreal numbers.
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