Hi Kurt,
Happy Summer!
I saw this on my online travels and though you might like to read this. If you scroll halfway down there is a chart that helps explain the difference between Real, Complex, Quaternions, and Octonion numbers. There's a video on there as well.
Enjoy!

https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/