| thanks Phukraut.  =)
 I was playing around after the first 4 lines, probably should have made that clear.  I'll edit my post to reduce the confusion, including phukraut's advice.
 
 The interesting part is:
 -1 = i^2 = j^2 = k^2
 i = jk
 (-1)*x = x*(-1) for all x
 
 that is sufficient: you can derive all the other rules from just that. (the last one is just saying that -1 commutes with every element in the Quaternion).
 
 I've heard that Quaternion's represent 3 dimensional rotations in some natural way.  I understand how this might work theoretically, but have never really poked at it.  Anyone want to chime up?  =)
 
				__________________Last edited by JHVH : 10-29-4004 BC at 09:00 PM.  Reason: Time for a rest.
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