Talk:Commutator

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Revision as of 20:18, 28 November 2012 by Dave3457 (talk | contribs) (Regarding some of the text directly above the gif)

Addition of commutator GIF

I change PI to PN for consistency reasons. I got rid of the table because it is now extraneous. However it is commented out in the raw text of this talk page in case you want to re-include it.

Circular17, I don't want to mess with your work and make large changes, but I think the part that is directly above the gif and reproduced below is not longer needed. I think in this case "a picture/animation says a thousand words"
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We notice that N A and N B are used as temporary storage :

  • The content of the intersection, PN, is first hidden by A in its storage N A, and comes back with A', so that the only transformation applied to these pieces is B'.
  • The content of N A' is brought by A, and is then hidden by B in N B, so that the only transformation applied to these pieces is A.
  • The content of N B' is brought by B, and then is placed immediately in N A' by A'. So the transformation applied to these pieces is B A'.

In other words, all the commutator does is :

  • PA goes A
  • PB goes B A'
  • PN goes B'

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That being said, I think what might be really helpful is if below the animation, we talk about a "real life example". I'll see if I can put something together.Dave3457 (talk) 15:18, 28 November 2012 (EST)