Summer of Math Exposition

The visuals definitely helped and strangely enough I never thought to use GitHub as a blog.

There’s some really good stuff in here. I like how you make the comparison between the complex plane and the jk-plane (for lack of a better term) and how they both make a 90 degree rotation when multiplied by i. I also liked your explanation of i shrinking and growing for why the quaternion sandwich multiplication is necessary.

Some of the explanations were a bit jumbled, for instance: “One thing to note is that quaternion multiplication is associative, and this property is shared with quaternions.” I’m assuming you meant “complex multiplication is associative, and this property is shared with quaternions.”? And there were a few other examples like this. Not the end of the world but it caught me up a few times.