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quaternions

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Visualizing the 4d numbers Quaternions31:51

Visualizing 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.
Fantastic Quaternions - Numberphile12:25

Fantastic 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.
Why can't you multiply vectors?51:16

Why 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.
A Swift Introduction to Geometric Algebra44:23

A 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.
Siggraph2019 Geometric Algebra1:37:22

Siggraph2019 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.