# Thurston on random Delaunay triangulations and random minimum spanning trees

If you're interested in Delaunay triangulations and Euclidean minimum spanning trees you should check out this MathOverflow question and Bill Thurston's answer to it. The question is: what is the asymptotic behavior of the diameter of an EMST of random points in the unit square? Thurston provides evidence that (unlike a lot of other geometric functionals) the answer isn't proportional or within log factors of proportional to \( \sqrt{n} \). He also has a fascinating physical analogy involving anti-aircraft radar stations to explain the behavior of distances in random Delaunay triangulations.