[Inquiry] Sign Relations -- Commentary

[Jon Awbrey]

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SR.  Commentary Note 1

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Re: SR 4.  http://stderr.org/pipermail/inquiry/2005-January/002241.html

To represent a 3-tuple <x, y, z> such that xy = z in a group G,
I used to draw a picture of something like the following shape:

          x       y
           \    //
            \  //
             \//
             |||
             |||
             |||
              z

Then I would chain these together in trees and cycles to represent the
more complex constructions that I had to think about in a given setting.

When I used this tactic to represent the elementary sign relations among
the sunflowers and the sun, I ended up with pictures something like this:

          s_1   s_2
          o o   o o
          |  \ /  |
   s_8 o--o   o   o--o s_3
       o   \  |  /   o 
        \   o o o   /
         o--o O o--o
        /   o o o   \
       o   /  |  \   o 
   s_7 o--o   o   o--o s_4
          |  / \  |
          o o   o o
          s_6   s_5
 
Of course, it could be any multitude of sunflowers, not just eight.

Jon Awbrey

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inquiry e-lab: http://stderr.org/pipermail/inquiry/
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