File:DynkinC3Affine.svg

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Summary

Directed and undirected C3 Affine Dynkin diagrams with Cartan, Schlafli, and Coxeter matrices.

This is constructed interactively using the mouse GUI (or manually through keyboard entry of the node / line tables) from the Mathematica notebook <a rel="nofollow" class="external text" href="http://theoryofeverything.org/TOE/JGM/ToE_Demonstration.nb">ToE_Demonstration.nb</a> found on <a rel="nofollow" class="external text" href="http://theoryofeverything.org/MyToE/">theoryofeverything.org/MyToE</a>.

The Lie group names are calculated based on the Dynkin topology. The geometric permutation names are calculated (to rank 8) based on the binary pattern of empty and filled nodes. The node and line colors can be used as indicators in Coxeter projections and/or Hasse diagrams.

Licensing

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File history

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Date/TimeThumbnailDimensionsUserComment
current07:09, 16 January 2017Thumbnail for version as of 07:09, 16 January 2017480 × 250 (90 KB)127.0.0.1 (talk)Directed and undirected C3 Affine Dynkin diagrams with Cartan, Schlafli, and Coxeter matrices. <p>This is constructed interactively using the mouse GUI (or manually through keyboard entry of the node / line tables) from the Mathematica notebook <a rel="nofollow" class="external text" href="http://theoryofeverything.org/TOE/JGM/ToE_Demonstration.nb">ToE_Demonstration.nb</a> found on <a rel="nofollow" class="external text" href="http://theoryofeverything.org/MyToE/">theoryofeverything.org/MyToE</a>.<br></p> The Lie group names are calculated based on the Dynkin topology. The geometric permutation names are calculated (to rank 8) based on the binary pattern of empty and filled nodes. The node and line colors can be used as indicators in Coxeter projections and/or Hasse diagrams.<br>
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