  A strong triangle blocking arrangement is a geometric arrangement of some
line segments in a triangle with certain intersection properties. It turns out
that they are closely related to blocking sets. Our aim in this paper is to
prove a classification theorem for strong triangle blocking arrangements. As an
application, we obtain a new proof of the result of Ackerman, Buchin, Knauer,
Pinchasi and Rote which says that $n$ points in general position cannot be
blocked by $n-1$ points, unless $n = 2,4$. We also conjecture an extremal
variant of the blocking points problem.
