I just learned of the Fano plane which looks like it has some interesting combinatorial properties. I am not too versed in this area so wanted to ask if there are some good resources out there on Finite Projective Planes with interesting combinatorial properties like the Fano plane. It would be great if there was a place that collected them all like OEIS. I also just learned of the Coxeter graph which look like it may have some similarly interesting properties, though not sure.

  • $\begingroup$ I assume you have tried googling and looking at related wikipedia articles; here's a fun application you might not have found yet: it's the order-7 Finite Projective Plane: stackoverflow.com/questions/6240113/… $\endgroup$ – antkam Mar 3 at 3:39
  • $\begingroup$ There is the Hughes & Piper book on Projective Planes. There are lots and lots of examples, Erik Moorhouse keeps a page with some limited data ericmoorhouse.org/pub/planes $\endgroup$ – Morgan Rodgers Mar 4 at 16:39

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