Pasch Graph
PaschGraph
The Pasch graph is the Levi graph of the Pasch configuration.
The Pasch graph is edge-transitive but not vertex-transitive, but fails to be semisymmetric since it is not regular. Its line graph is the truncated tetrahedral graph.
The Pasch graph is also its own graph distance-3 graph.
See also
Pasch's Axiom, Pasch Configuration, Pasch's TheoremExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Pasch Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PaschGraph.html