Why can't you multiply vectors?
9 人推荐 · 跨 5 个月 · 2023–2025
中文导读
在 2023 年荷兰游戏日上，Freya Holmer 抛出了一个直击本质的问题：为什么向量不能做乘法？她从复数出发，仅凭一条公理步步推导，最终自然引申出几何代数、四元数以及多重向量的概念。
为什么 HN 推它
HN 社区公认这是入门几何代数、直观搞懂四元数几何意义的首选神作。
「想搞懂这个，第一部必看的视频绝对得是那个（标题略带反讽的）《为什么向量不能做乘法？》。」HN 网友原话：The absolute first video to watch should be the (ironically titled) Why can't you multiply vectors?
英文原摘要（HackerTube / Claude 整理）
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.
HN treats it as the best entry point to geometric algebra and an intuitive route to understanding quaternions.
HN 上的提及
I highly recommend anyone who finds this stuff interesting but confusing (like I do) to check it out
this conference talk[1] released yesterday regarding vector multiplication
I highly recommend a recent talk by Freya Holmer.
I think I fell down the rabbit hole from Freya Holmer's "why you can't multiply vectors".
a good place to jump in might be Freya Holmér's Why can't you multiply vectors?