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GA notation is compact, and it allows for more expressiveness when dealing with geometry. Rotors are pretty intuitive. The software libraries and hardware need
by eggy 10y ago
GA notation is compact, and it allows for more expressiveness when dealing with geometry. Rotors are pretty intuitive. The software libraries and hardware need to be put in place for it to find more practical use. There has been work on custom hardware, or implementing them in PROLOG [1 PDF].
Hestenes book "New Foundations in Classical Mechanics" is a great start, and there are books on GA in computer graphics. It is only a matter of time until there are solid software libraries and dedicated hardware for GA for it to really take off.
The current method is fine, and has done its job, however, when you read the history, and study GA, you realize the turn mathematics took. It was not based upon the better road, but on historical incidents.
[1 PDF] http://www.gaalop.de/dhilden_data/fccm09.pdf http://www.gaalop.de/dhilden_data/fccm09.pdf