A good friend of mine recently discovered some of the fun things
you can do with complex numbers if you're using them to
represent points in the plane. Yesterday, I re-read a passage by Tony
Smith about why one
should be interested in Clifford algebras. Tony Smith's
passage included all of the fun one can have with the complex plane
and extends it to three, four, five, and more dimensions. I thought,
I should segue from the complex numbers in the plane to Clifford
algebras to quaternions in 3-space to Clifford algebras again in a
series of posts on my website.
I have posted the first installment of that series.