quaternions
31:51Visualizing the 4d numbers Quaternions
5.6M views • 8 years ago
3Blue1Brown
3Blue1Brown builds visual intuition for quaternions, showing how to think about this four-dimensional number system using stereographic projection and rotations in 3D space. It is part one of a two-part series with an interactive companion site.
12:25Fantastic Quaternions - Numberphile
1.1M views • 10 years ago
Numberphile
Numberphile's James Grime introduces quaternions, a type of number beyond the complex numbers, building up from real and complex numbers and explaining why they are useful.
51:16Why can't you multiply vectors?
524K views • 3 years ago
Freya Holmér
Freya Holmer's Dutch Game Day 2023 talk asking why vectors can't be multiplied, building from complex numbers to a single axiom and arriving at geometric algebra, quaternions and multivectors.
44:23A Swift Introduction to Geometric Algebra
1.1M views • 6 years ago
sudgylacmoe
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.
1:37:22Siggraph2019 Geometric Algebra
87K views • 7 years ago
Bivector
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.