A Swift Introduction to Geometric Algebra

sudgylacmoe · 1.1M views · 2020-08-18 · 44:23

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Overview

An animated introduction to geometric algebra, presented as a language that can describe most of physics. It was made with manim and covers multivectors and how they generalize familiar tools like cross products and quaternions.

On Hacker News

HN calls it the best video on geometric algebra, one that makes the subject click in about 40 minutes.

Recommended by 7 HN people across 7 months · HN mentions 2020–2024

Topics

Pure mathematics Recreational & visual math

What people said

BenoitP · 2024-07 · Strong recommendation
You should jump straight to geometric algebra. It's actually simple there. Quaternions and Complex Numbers are about just some not so special multivectors. Here are 2 45mn videos you'll not regret: [LINK] [VIDEO]
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kilovoltaire · 2022-04 · Strong recommendation
If you want an inspiring (imho) overview of the power of geometric algebra, I thoroughly enjoyed the video "A Swift Introduction to Geometric Algebra" [VIDEO]
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strainer · 2021-10 · Strong recommendation
This little known channel: sudgylacmoe - which doesn't seem present in the list, has the best video by far on Geometric Algebra (imho) [VIDEO]
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Sources

Video by sudgylacmoe, played through YouTube.

HN Library · Source license

Data and selection notes

HN summaries and labels may contain AI errors. HN dates refer to discussions, not video publication.

HN Library: HackerTube export (2026-10-31) and open-index/hacker-news. Upstream summaries and classifications may contain AI errors.

Views, duration and playback status refresh separately from the published catalog. When an update fails, existing data remains visible.

Selection checks

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