#dualgraph — Public Fediverse posts

Alternatively, I need to find the #dualGraph https://en.wikipedia.org/wiki/Dual_graph, where each dual node contains the list of original nodes from its face.. Didn't find a function yet for that either, but might be more straightforward.

#LogicalGraphs • 12
• https://oeis.org/w/index.php?title=Logical_Graphs&stable=0&redirect=no#Duality

#Duality • Logical and Topological

Once we make the connection between one of #Peirce's #AlphaGraphs and its character string expression it's not too big a leap to see how the character string codes up the structure of the topological #DualGraph in the space of #RootedTrees.

#Logic #Peirce #SpencerBrown #LawsOfForm
#PropositionalCalculus #BooleanFunctions
#GraphTheory #ModelTheory #ProofTheory

#LogicalGraphs • 9
• https://oeis.org/w/index.php?title=Logical_Graphs&stable=0&redirect=no#Duality

From the #AlphaGraph and its text expression we turn to representing their common form in computer memory, where it can be manipulated with the greatest of ease. We begin by transforming the alpha graph into its #TopologicalDual. Planar regions of the alpha graph are mapped into points (or nodes) of the #DualGraph & boundaries between those planar regions are mapped into lines (or edges) connecting those points.

#Logic #Peirce #AlphaGraphs #Duality