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Siggraph2019 Geometric Algebra

Bivector · lecture · Watch on YouTube

Computer graphics & renderingPure mathematics

What it is

A SIGGRAPH 2019 course on geometric algebra. Charles Gunn gives an intro, then Steven De Keninck gives a programmer-focused course with live examples in ganja.js.

Why Hacker News recommends it

HN commenters repeatedly point people to it as the most accessible, developer-friendly introduction to geometric algebra and its use in graphics and physics.

  • 8 people recommended it
  • 10 different months
  • 1 strong recommendations
  • first 2020, last 2022

What HN commenters said

  1. “just watch this mind blowing video”

    Mind-blowing case for geometric algebra as the right geometry framework

    crubier, 2020-02 · Strong recommendation · in “Let's remove quaternions from every 3D engine (2018)”

  2. “has a good, developer-friendly introduction to the subject”

    Developer-friendly intro with cleaner, simpler code

    cs702, 2020-04 · Recommendation · in “Ask HN: What are you learning?”

  3. “checkout the presentation on Geometric Algebra from 2019 SIGGRAPH”

    SIGGRAPH 2019 presentation on geometric algebra

    aabajian, 2020-05 · Recommendation · in “4D Toys: how objects bounce and roll in 4D – paper accepted to SIGGRAPH 2020”

  4. “Watch the SIGGRAPH talk”

    SIGGRAPH talk on geometric algebra

    adamnemecek, 2020-07 · Recommendation · in “Intuitive Guide to Maxwell's Equations”

  5. “provide some more background on GA and its applications”

    Background on GA and applications like projections and rotations

    ivan_ah, 2020-09 · Recommendation · in “Geometric Algebra for Python”

  6. “also made a very interesting presentation of geometric algebra”

    Very interesting presentation of geometric algebra

    these_are_not_t, 2020-12 · Recommendation · in “Ganja.js: Geometric Algebra Generator for JavaScript, C++, C#, Rust, Python”

  7. “He has a good video from SIGGRAPH 2019”

    Explains why geometric algebra beats matrices, vectors, complex numbers

    javajosh, 2021-08 · Recommendation · in “Manim: An animation engine for explanatory math videos”

  8. “The talk in general has a bunch of example applications”

    Example applications of projective geometric algebra

    orlp, 2022-04 · Recommendation · in “Exponentially Better Rotations”

Excerpts from Hacker News comments, linked to the originals. Summaries and labels were written by a language model from those comments.

Topics: geometric algebra, siggraph, computer graphics, rotors, ganja.js, quaternions

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