5 ms·
>* Quaternions and octonions are the generalization of complex numbers beyond the plane. A lot of stuff just happens to reduce to the same thing in 2D. Would a
by zardo 9y ago
>* Quaternions and octonions are the generalization of complex numbers beyond the plane. A lot of stuff just happens to reduce to the same thing in 2D.
Would an octonion by any other name, not smell as sweet?
The even graded sub-algebras in GA are isomorphic to complex numbers, quaternions, etc...
For me at least, coming at the same structure from a completely different direction is the best bang for the buck in increasing understanding.
- vanderZwan 9y agoDo you happen to be a tauist? ;)
- zardo 9y agoI was reading Shakespeare yesterday. I guess it leaked. 4*pi is of course, the most reasonable circle constant.
- vanderZwan 9y agoAh yes, the "when in doubt, annoy everyone equally" approach. I approve.
- vanderZwan 9y agoOf course, you haven't lived until you did as the astronomers do, and did exams stating that you may consider Pi = 4 and Pi^2 = 10