HERE's a dive off into some heavy duty reading and philosophizing:
https://slehar.wordpress.com/2014/06/26/geometric-algebra-projective-geometry/
https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-visual-introduction/
https://slehar.wordpress.com/2014/07/24/geometric-algebra-conformal-geometry/
http://cns-alumni.bu.edu/~slehar/webstuff/bubw3/bubw3.html#compmech
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