Perhaps you are familiar with this survey, which seems relevant: > Felsner, Stefan, and Jacob E. Goodman. "Pseudoline Arrangements." *Handbook of Discrete and Computational Geometry*, JE Goodman, ed., 3rd ed., CRC Press, Boca Raton, FL (2016). Soon (Oct17) to appear as 4th ed: [PDF download](http://page.math.tu-berlin.de/~felsner/Paper/pseudol.pdf). <hr /> [![CRC][1]][1] <hr /> [1]: https://i.sstatic.net/MiWjr.png