Octonians in Python

[David Feustel]

Here is John Baez home page: http://math.ucr.edu/home/baez/
Lots of interesting stuff on 'onions here.

"Paul Rubin" <phr-n2001 at nightsong.com> wrote in message news:7x3d4wpqi0.fsf at ruckus.brouhaha.com...
> "David Feustel" <dfeustel at mindspring.com> writes:
> > There is one additional system of complex numbers
> > (octonians) beyond quaternions. Are there any
> > python implementations of octonians?
>
> Octonians are also sometimes called octaves.  I think they have
> applications in some esoteric areas of theoretical physics, but I know
> of no applications at all for them in ordinary CS or engineering.
> That's probably why there aren't many implementations around.
>
> Octonian arithmetic is not only noncommutative, but it's also
> nonassociative.  Here's a nice article abont octonians, by the
> always entertaining John Baez:
>
>   http://www.math.niu.edu/~rusin/known-math/97/divialg2