Visualizing the 4d numbers Quaternions
6 人推荐 · 跨 6 个月 · 2018–2023
中文导读
3Blue1Brown 的空间直觉大师课：利用立体投影法（Stereographic Projection）与三维旋转，帮观众建立对四维超复数系统——四元数（Quaternion）的几何直觉，配有可交互网页工具。
为什么 HN 推它
HN 社区公认理解四元数与四维空间最棒的可视化教学，把抽象难懂的高维数学讲得如水晶般通透。
「他在用几何直觉拆解四元数这件事上，做得简直无可挑剔。」HN 网友原话：He does a great job of explaining quaternions though visual intuition.
英文原摘要（HackerTube / Claude 整理）
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.
HN commenters recommend it as the best visual explanation of quaternions and a good way to visualize higher dimensions.
HN 上的提及
He does a great job of explaining quaternions though visual intuition.
I suggest this neat video
a nice exercise to visualize 4D is to study quaternions and their properties.
described and visualized nicely here
3B1B is also informative, especially in explaining why C was not extended using triplets but 4-tuples were needed