This is constructed interactively using the mouse GUI (or manually through keyboard entry of the node / line tables) from the Mathematica notebook ToE_Demonstration.nb found on theoryofeverything.org/MyToE.
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.
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