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This is a graph theory question. Prove (and explain) why the Pasch Graph is Edge-transitive but
not Vertex-Transitive.
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.

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