The Desargues configuration is a 
configuration of ten
lines intersecting three at a time in 10 points
which arises in Desargues' theorem.
Its Levi graph is the Desargues graph.
Desargues Configuration
See also
Configuration, Desargues Graph, Desargues' TheoremExplore with Wolfram|Alpha
References
Coxeter, H. S. M. "Self-Dual Configurations and Regular Graphs." Bull. Amer. Math. Soc. 56, 413-455, 1950.Gropp, H. "Configurations and Their Realization." Discr. Math. 174, 137-151, 1997.Grünbaum, B. Configurations of Points and Lines. Providence, RI: Amer. Math. Soc., pp. 1-2, 2009.Cite this as:
Weisstein, Eric W. "Desargues Configuration." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DesarguesConfiguration.html