The following eight posts were put on Usenet sci.physics on 8/08/08 as a tribute to Octonion
Algebra and the number 8. They contain a bit more explanation and justification of claims than
found in the PDF above.
The following are links to PDF files you may find interesting.
This PDF is a good place to start.
This PDF shows the results from running the associator through the Octonion Variance Sieve
Algorithm. The invariant portion is identically zero. This is not to say algebraic invariant forms are
associative, they are not. The concept of algebraic invariance itself does seem to be associative.
I have had discussions on my claim that Left Octonion Algebra is not isomorphic to Right
Octonion Algebra. Grab this PDF for a full disclosure of my position and its relevance.
This PDF discusses how 3D Euler Angles can be represented as an Octonion automorphism