Incidences in Three Dimensions and Distinct Distances in the Plane
Incidences in Three Dimensions and Distinct Distances in the Plane
We first describe a reduction from the problem of lower-bounding the number of distinct distances determined by a set S of s points in the plane to an incidence problem between points and a certain class of helices (or parabolas) in three dimensions. We offer conjectures involving the new set-up, …