After significant peer review, my Dynkin Diagram Visualizer was published at Wolfram Demonstrations. Please see http://demonstrations.wolfram.com/DynkinDiagrams/
Tag Archives: Dynkin
A few more Dynkin Diagrams – Affines & Foldings
Dynkin Diagrams from VisibLie_Dynkin
This is constructed interactively using the mouse GUI (or manually through keyboard entry of the node / line tables) from VisibLie_Dynkin found on TheoryOfEverything.org.
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.
This tool can be used to drive the visualizations in VisibLie_E8.