HACKENBUSH: a window to a new world of math

Owen Maitzen3 HN recommenders · 2022–2025
562K views · explainer · evergreen · Uploaded 2021-08-22

Owen Maitzen's animated hour-long introduction to Hackenbush, a simple combinatorial game, and how its strategy leads to surreal numbers and the roots of the number system.

HN recommends it as an accessible, well-visualized entry point to Hackenbush, surreal numbers and their link to Nim.

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3 comments from Hacker News

@rini172022 · in “Indefinite and Fictitious Numbers”

All numbers are fictitious :) Though, I think "games" built on surreal numbers are akin to these. [LINK] An accessible intro: [VIDEO]

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@nthingtohide2024 · in “Numbers Are Leaves”

HACKENBUSH: a window to a new world of math [VIDEO] Thanks for the blogpost, I think you will like this above SOME3 entry. Owen Maitzen committed suicide which is mentioned in the following video. The Endless Universe of "Bean and Nothingness" [LINK]

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@lblume2025 · in “Transfinite NIM (the game, not the programming language)”

Nim is, in fact, a proper subset of Hackenbush, a game extensively studied by Conway. I found the following video extremely useful and well-visualized: [VIDEO]

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