On triple intersections of three families of unit circles

Orit E. Raz, Micha Sharir, József Solymosi

Let $p_1,p_2,p_3$ be three distinct points in the plane, and, for $i=1,2,3$, let ${\mathcal{C}}_i$ be a family of $n$ unit circles that pass through $p_i$. We address a conjecture mad…