In "Further Reading" the article links to [Let's remove Quaternions from every 3D Engine](https://marctenbosch.com/quaternions/) which is about Geometric Algebra.
Many chefs are brilliant, but only Jeremiah Tower's book covers will tell you he's brilliant. Many branches of mathematics are of great utility. Geometric Algebra will breathlessly tell you this. I know few fields quite so evangelical.
If you don't know better, you should use quaternions rather than matrices. If you don't know better, stick with quaternions and avoid the generalization presented by Geometric Algebra until the benefit is clear.
This tension is probably why the field is so evangelical.
Quaternions are inevitable. In ten thousand runs of the simulation, sentient beings would come up with quaternions every time. Geometric Algebra is not so inevitable. An aesthetic awareness of the centrality of ideas guides some but not all mathematicians. Like that famous quote about taking an instant dislike to Ted Cruz, it saves time.
Many chefs are brilliant, but only Jeremiah Tower's book covers will tell you he's brilliant. Many branches of mathematics are of great utility. Geometric Algebra will breathlessly tell you this. I know few fields quite so evangelical.
If you don't know better, you should use quaternions rather than matrices. If you don't know better, stick with quaternions and avoid the generalization presented by Geometric Algebra until the benefit is clear.
This tension is probably why the field is so evangelical.
Quaternions are inevitable. In ten thousand runs of the simulation, sentient beings would come up with quaternions every time. Geometric Algebra is not so inevitable. An aesthetic awareness of the centrality of ideas guides some but not all mathematicians. Like that famous quote about taking an instant dislike to Ted Cruz, it saves time.