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→Discussion of non-commutativity insertion: Quick response |
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Actually, one place I think material like this would be very relevant is in explaining the concept of [[non-commutativity]] in general to intro math folks. This concept is often presented so mysteriously that people can't see any connection to ordinary circumstances; your book example shows that there are quite ordinary operations on real objects that are non-commutative (or non-Abelian). The [[Commutativity]] article itself might be a plausible ___location, for example, with a proper intro...
:I think the example of non-commutative rotations is good to have in the article, but I don't think the current explanation is clear enough. For someone who is good at thinking in spatial terms, it's easy to follow, but many people will not be, especially people who are new to quaternions. A diagram would really help here, maybe an animated GIF? Does anyone have the ability to make a good one? - [[User:Rainwarrior|Rainwarrior]] 20:09, 10 February 2007 (UTC)
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