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THE VIDEO SHELF · combinatorial game theory

HACKENBUSH: a window to a new world of math

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.

Why HN readers recommended it

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

This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.

Video & recommendation details

Creator / channel
Owen Maitzen
Topic
combinatorial game theory
Format
explainer
Level
intro
HN recommenders in dataset
3
HN mentions in dataset
3
Recommendation years in dataset
2022–2025

These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.

From the original HN conversations

Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.

  • 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]

    lblume on Hacker News · 2025-02
    In Transfinite NIM (the game, not the programming language)
  • All numbers are fictitious :) Though, I think "games" built on surreal numbers are akin to these. [LINK] An accessible intro: [VIDEO]

    rini17 on Hacker News · 2022-09
    In Indefinite and Fictitious Numbers
  • 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]

    nthingtohide on Hacker News · 2024-12
    In Numbers Are Leaves

Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.