New for: D3
$O(n^2)$. The known examples that achieve the quadratic upper
bound have large spread (ratio between largest and smallest
interpair distance). I´ll talk about a conjecture of J. Erickson
according to which the size is $O(n^{1/2}\Delta^{3/2})$ where
$\Delta$ is the spread, and some of his initial attempts to
prove it.