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Thursday, October 5th 2000
Clifford Algebra Link
02:05 PM
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Tim Sweeney sent along the following bit about Clifford algebra:

" This subject is addictive... :) Here is another good introduction:

http://www.mrao.cam.ac.uk/~clifford/introduction/intro/intro.html
I'm just getting started on writing some code to represent geometry using Clifford algebra (i.e. in 3 dimensions, a multivector is an array of 8 components: a scalar, a 3-component vector, a 3-component bivector, and a pseudoscalar). I'm not sure how useful this will really prove to be for rendering, but it's interesting research. It neatly explains things that matrix algebra obfuscates, like "why normal vectors transform differently than points". "

If you missed his previous comments on Clifford algebra / geometric calculus, click here.
 
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